Disclosure of Invention
In view of this, it is an object of the present application to provide a method and apparatus for determining the critical count of particles Wei Zhi, which can quantitatively determine the critical count of particles Wei Zhi.
In a first aspect, embodiments of the present application provide a method for determining a critical number of particles Wei Zhi, the method comprising:
acquiring the shear modulus of a target particle material and the critical strength corresponding to the target particle material when solid-hydraulic behavior conversion occurs under the action of the shear force;
determining a critical strain corresponding to the target particle material when the solid-hydraulic behavior conversion occurs based on the shear modulus of the target particle material and the critical strength corresponding to the target particle material when the solid-hydraulic behavior conversion occurs under the action of the shear force;
determining a shear rate of the target particulate material based on the critical strain;
a critical count Wei Zhi of the target particulate material is determined based on the shear rate of the target particulate material and the density of the target particulate material.
Optionally, based on the shear modulus of the target particulate material and the critical strength corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs under the action of the shear force, determining the critical strain corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs by using the following formula:
wherein,the critical strain corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />The critical strength corresponding to the solid-hydraulic behavior conversion of the target particle material under the action of shearing force; />Is the shear modulus of the target particulate material.
Optionally, the determining the shear rate of the target particulate material based on the critical strain includes:
acquiring the relaxation speed of the target particle material under the action of a shearing force and the average diameters of a plurality of sub-particle materials included in the target particle material;
the shear rate of the target particulate material is determined based on the critical strain, a relaxation rate of the target particulate material under the action of the shear force, and an average diameter of a plurality of sub-particulate materials included in the target particulate material.
Optionally, the shear rate of the target particulate material is determined based on the critical strain, the relaxation rate of the target particulate material under the action of the shear force, and the average diameters of the plurality of sub-particulate materials included in the target particulate material using the following formula:
wherein,a shear rate for the target particulate material; />For the target particlesThe relaxation rate of the particulate material under the action of shear forces; />Is the average diameter of a plurality of sub-particulate materials included within the target particulate material.
Optionally, the determining the critical number of races Wei Zhi of the target particulate material based on the density of the target particulate material and the shear rate of the target particulate material includes:
acquiring the average diameters of a plurality of sub-particulate materials included in the target particulate material and the strength of the target particulate material at any time in the process of being subjected to a shearing force;
the critical count Wei Zhi of the target particulate material is determined based on the density of the target particulate material, the shear rate of the target particulate material, the average diameter of a plurality of sub-particulate materials included within the target particulate material, and the strength of the target particulate material at any time during exposure to the shear force.
Optionally, the critical number of the target particulate material Wei Zhi is determined based on the density of the target particulate material, the shear rate of the target particulate material, the average diameters of the plurality of sub-particulate materials included in the target particulate material, and the strength of the target particulate material at any time during the shearing force, using the following formula:
wherein,a critical count Wei Zhi for the target particulate material; />Is the strength of the target particulate material at any time during the shear force.
In a second aspect, embodiments of the present application provide a determining apparatus for determining a critical count of a particulate material Wei Zhi, the determining apparatus including:
the acquisition module is used for acquiring the shear modulus of the target particle material and the critical strength corresponding to the solid-hydraulic behavior conversion of the target particle material under the action of the shear force;
the critical strain determining module is used for determining the critical strain corresponding to the solid-liquid dynamic behavior conversion of the target particle material based on the shear modulus of the target particle material and the critical strength corresponding to the solid-liquid dynamic behavior conversion of the target particle material under the action of the shear force;
a shear rate determination module for determining a shear rate of the target particulate material based on the critical strain;
a critical count Wei Zhi determination module for determining a critical count Wei Zhi of the target particulate material based on the shear rate of the target particulate material and the density of the target particulate material.
Optionally, based on the shear modulus of the target particulate material and the critical strength corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs under the action of the shear force, determining the critical strain corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs by using the following formula:
wherein,the critical strain corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />The critical strength corresponding to the solid-hydraulic behavior conversion of the target particle material under the action of shearing force; />Is the shear modulus of the target particulate material.
In a third aspect, an embodiment of the present application provides an electronic device, including: a processor, a memory and a bus, the memory storing machine-readable instructions executable by the processor, the processor in communication with the memory via the bus when the electronic device is operating, the machine-readable instructions when executed by the processor performing the steps of the method of determining the critical count of particulate material Wei Zhi as described above.
In a fourth aspect, embodiments of the present application provide a computer readable storage medium having a computer program stored thereon, which when executed by a processor performs the steps of a method of determining the critical count of particulate material Wei Zhi as described above.
The embodiment of the application provides a method and a device for determining the critical number of the granular material Wei Zhi, which comprise the following steps: acquiring the shear modulus of a target particle material and the critical strength corresponding to the target particle material when solid-hydraulic behavior conversion occurs under the action of the shear force; determining a critical strain corresponding to the target particle material when the solid-hydraulic behavior conversion occurs based on the shear modulus of the target particle material and the critical strength corresponding to the target particle material when the solid-hydraulic behavior conversion occurs under the action of the shear force; determining a shear rate corresponding to the target particulate material when solid-hydraulic behavior conversion occurs based on the critical strain; and determining the critical racing Wei Zhi number of the target particle material based on the shear rate corresponding to the target particle material when solid-hydraulic behavior conversion occurs. In this way, the critical number of the target particle material Wei Zhi can be determined, and the determined critical number Wei Zhi can be used to predict the mechanical behavior transition of the particle material from solid to liquid, so that the development of new synthetic materials in the related field can be assisted, and disaster prevention and reduction guidance can be provided.
In order to make the above objects, features and advantages of the present application more comprehensible, preferred embodiments accompanied with figures are described in detail below.
Detailed Description
For the purposes of making the objects, technical solutions and advantages of the embodiments of the present application more clear, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is apparent that the described embodiments are only some embodiments of the present application, but not all embodiments. The components of the embodiments of the present application, which are generally described and illustrated in the figures herein, may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the present application, as provided in the accompanying drawings, is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. Based on the embodiments of the present application, every other embodiment that a person skilled in the art would obtain without making any inventive effort is within the scope of protection of the present application.
The mechanical behavior of particulate materials (e.g., earth, snow, etc.) tends to change from solid to liquid when subjected to shear forces. The number of the solid-liquid hybrid particles Wei Zhi is the ratio of the dynamic collision force between particles to the external force applied, and the critical number of the solid-liquid hybrid particles Wei Zhi is the ratio of the dynamic collision force to the external force applied when the mechanical behavior of the particle material is converted from solid to liquid. For the related field of geological engineering, if the critical number of the granular materials Wei Zhi can be determined, the mechanical behavior transition of the granular materials from solid to liquid can be predicted, so that the development of new synthetic materials in the related field can be helped, or guidance is provided for disaster prevention and reduction under the complex environment (such as debris flow, dam break, avalanche and the like) of civil engineering.
However, no quantitative method for determining the critical race Wei Zhi number of the particulate material exists in the prior art.
Based on this, the embodiment of the application provides a method and a device for determining the critical number of the particles Wei Zhi, which can quantitatively determine the critical number of the particles Wei Zhi.
Referring to fig. 1, fig. 1 is a flowchart illustrating a method for determining a critical count of particles Wei Zhi according to an exemplary embodiment of the present application.
As shown in fig. 1, a method for determining the critical number of particles Wei Zhi according to an exemplary embodiment of the present application includes the following steps:
s101, acquiring a shear modulus of a target particle material and a critical strength corresponding to the target particle material when solid-hydraulic behavior conversion occurs under the action of the shear force;
here, for each particulate material, the particulate material corresponds to a shear modulus and a critical strength at which the solid-hydraulic behavior is converted under shear. As an example, the shear modulus and the critical strength may be obtained by performing experimental measurement in advance for the target particulate material, or may be a historical empirical value obtained by referring to a related art manual.
S102, determining critical strain corresponding to the target particle material when solid-liquid dynamic behavior conversion occurs based on the shear modulus of the target particle material and the critical strength corresponding to the target particle material when solid-liquid dynamic behavior conversion occurs under the action of the shear force;
specifically, in step S102, the critical strain corresponding to the target particulate material when the solid-hydraulic behavior transition occurs may be determined using the following formula:
wherein,the critical strain corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />The critical strength corresponding to the solid-hydraulic behavior conversion of the target particle material under the action of shearing force; />Is the shear modulus of the target particulate material.
S103, determining the shearing rate corresponding to the target particle material when solid-hydraulic behavior conversion occurs based on the critical strain;
as an example, regarding step S103, in a specific implementation, a relaxation speed of the target particulate material under a shearing force, an average diameter of a plurality of sub-particulate materials included in the target particulate material may be first obtained at step S1031;
then, in step S1032, a shear rate corresponding to the target particulate material when the solid-hydraulic behavior transition occurs is determined based on the critical strain, the relaxation speed of the target particulate material under the action of the shear force, and the average diameters of the plurality of sub-particulate materials included in the target particulate material.
Specifically, with respect to step S1032, the shear rate corresponding to the target particulate material when the solid-hydraulic behavior transition occurs may be determined using the following formula based on the critical strain, the relaxation speed of the target particulate material under the action of the shear force, and the average diameters of the plurality of sub-particulate materials included in the target particulate material:
wherein,the shearing rate corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />A relaxation rate of the target particulate material under shear; />Is the average diameter of a plurality of sub-particulate materials included within the target particulate material.
And S104, determining the critical number of the target particle materials Wei Zhi based on the shear rate corresponding to the target particle materials when the solid-hydraulic behavior conversion occurs.
As an example, regarding step S104, in practice, the density of the target particulate material, the average diameter of a plurality of sub-particulate materials included in the target particulate material, and the strength of the target particulate material at any time during the shearing force may be acquired first at step S1041;
then, in step S1042, the critical count Wei Zhi of the target particulate material is determined based on the density of the target particulate material, the shear rate of the target particulate material, the average diameters of the plurality of sub-particulate materials included in the target particulate material, and the strength of the target particulate material at any time during the process of receiving the shear force.
Specifically, with respect to step S1042, the critical number of the target particulate material Wei Zhi may be determined based on the density of the target particulate material, the shear rate of the target particulate material, the average diameters of the plurality of sub-particulate materials included in the target particulate material, and the strength of the target particulate material at any time during the shearing force, using the following formula:
wherein,a critical count Wei Zhi for the target particulate material; />Is the strength of the target particulate material at any time during the shear force.
Next, the number of critical events Wei Zhi obtained as described above will beIs derived.
Specifically, there are force chains in the granular material, the force chains in the granular material buckle under the action of continuous shearing force, and after the force chains buckle, the unloading of the force chains is not completed instantaneously under the conditions of transverse constraint and friction, but gradually proceeds along with the development of the shearing belt. At a constant strain rate, a force chain stress evolution equation describing a particulate material having a characteristic length l can be established:
[1-/>]=/>[1-/>] ;(4)
wherein:a bias stress component corresponding to the characteristic length l; />Is the density of the particulate material; />To target the particle material under the action of shearing forceThe propagation velocity of the elastic shear wave in the target particulate material; />Is a partial strain rate component; v is the relaxation rate of the particulate material under the action of shear force, note: it can be considered as the effective growth rate of the shear band; l is the characteristic length of the force chain in the particulate material; />For the relaxation time of the particulate material under the action of shear force, < >>The method comprises the steps of carrying out a first treatment on the surface of the t is the load deformation time of the granular material; />Equal to the shear modulus G.
Here, consider the relaxation rate v of a particulate material under shear force as a constant, i.e. v=const, the nature of the relaxation rate v being such that a particular particulate material has a particular deformation characteristic.
When the deformation time of the particulate material under load is much longer than the relaxation time of the particulate material under shear, i.e. t > > tr, equation (4) can be deduced as equation (5):
; (5)
it is known that: the stress deflection intensity expression is:
;(6)
wherein,is stress deflection strength;
it is known that: the strain rate expression corresponding to the characteristic length l of the force chain in the particulate material is:
;(7)
wherein,a strain rate corresponding to a characteristic length l of a force chain in the particulate material;
by combining the formula (5), the formula (6) and the formula (7), the stress bias intensity formula (8) can be obtained:
; (8)
wherein,stress deflection strength corresponding to the characteristic length l of a force chain in the granular material;
here, equation (8) reflects the accumulation of internal stress in the propagation interval of the shear band. Buckling of the force chain is only a local failure of the particulate material, only if the characteristic length l of the force chain in the particulate material corresponds to the stress deflection strengthReaching its critical strength->When (i.e.)>=/>The particulate material will undergo macroscopic breakage. Equation (8) can be derived as equation (9):
;(9)
in consideration of the above condition v=const, equation (9) contains three parameters, respectively、l、/>. However, in order to uniquely determine one of the parameters, the relationship between the other two parameters must be determined, and the solution work will be performed as follows:
specifically, the method comprises the following steps: at a given strain rate according to equation (9)The characteristic length l of the particulate material can be deduced as:
; (10)
equation (10) can be interpreted as the particulate material will select the appropriate characteristic length l for a given strain rate. In the critical state of the particulate material subjected to shearing, the poisson's ratio μ can be approximately taken to be 0.5, in which case the young's modulus E takes a value of 2 (1+μ) g≡3g=Wherein G is the shear modulus. Thus, the above formula (1), i.e. +.>Namely, the expression (1) is expressed in the critical strength of the granular material>Critical strain at that time.
Furthermore, it is known that:
the method comprises the steps of carrying out a first treatment on the surface of the Formula (11)
Wherein,time to reach limit (critical) for the deformation of the particulate material;
thus, in combination with equation (1) and equation (11), equation (10) can be rewritten as:
the method comprises the steps of carrying out a first treatment on the surface of the Formula (12)
Here, the physical meaning of l is the shear band propagation distance of the particulate material during the time interval of loading to failure, the particulate material is considered to separate into blocks of size l, and therefore l can be considered to be the size of the activation force chain, i.e. the characteristic length of the force chain in the particulate material.
Equation (10) provides a method of describing the transition of a particulate material from a solid-like behavior to a liquid-like behavior. When the size of the activated force chain is equal to the shear layer thickness δ, i.e. l=δ, the largest force chain is activated. As the shear rate increases, the force chain size decreases and the particulate material exhibits a partially fluidized flow. When the size of the activation force chains takes the size of the sub-particles within the particulate material, there are no force chains and the particulate material appears as a liquid.
It is known that in the case of a particulate material subjected to shear forces, the following conditions exist:
formula (13)
Wherein,for the shear rate of the particulate material, sp is the slip velocity of the particulate material when subjected to shear forces.
By combining the formula (10) and the formula (13), the formula (14) can be obtained:
formula (14)
It is known that:equation (15) can be obtained by combining equation (13) and equation (14):
the method comprises the steps of carrying out a first treatment on the surface of the Equation (15);
combining equation (1) and equation (9), equation (16) can be obtained:
(16)
here, for a particulate material having a shear layer thickness δ, if the characteristic length l takes the value of the shear layer thickness δ, i.e. l=δ, a characteristic shear rate expression for an activation force chain having a shear layer thickness δ can be obtained:
(17)
wherein,the shear rate of a particulate material having a shear layer thickness delta is shown.
If l takes the value of the average diameter d of the plurality of sub-particulate materials included in the target particulate material, l=d, i.e. there is no force chain, the particulate material will behave as a liquid, i.e. equation (2) above can be obtained, i.e.:the method comprises the steps of carrying out a first treatment on the surface of the That is, equation (2) characterizes the corresponding characteristic shear rate of the transition of the particulate material from a solid-like behavior to a liquid-like behavior.
Further, the formula of Savage number (number of race Wei Zhi) is known:
(18)
wherein δ is the thickness of the shear layer of particulate material;is the shear rate of the particulate material.
It is known that when d is taken from delta, no force chains exist in the granular material, and the granulesThe material changes from solid to liquid. Therefore, the shear rate of the particulate material in equation (18)The shear rate corresponding to the solid-hydraulic behavior conversion of the granular material in the formula (2) is used>Alternatively, a quantitative formula describing the solid-hydrodynamic behaviour transformation of the particulate material can be obtained, namely formula (3) above:it will be appreciated that the magnitude of equation (3) may be the ratio of the dynamic impact forces between particles within the particulate material to the applied pressure.
The method for determining the critical number of the granular material Wei Zhi provided by the embodiment of the application comprises the following steps: acquiring the shear modulus of a target particle material and the critical strength corresponding to the target particle material when solid-hydraulic behavior conversion occurs under the action of the shear force; determining a critical strain corresponding to the target particle material when the solid-hydraulic behavior conversion occurs based on the shear modulus of the target particle material and the critical strength corresponding to the target particle material when the solid-hydraulic behavior conversion occurs under the action of the shear force; determining a shear rate corresponding to the target particulate material when solid-hydraulic behavior conversion occurs based on the critical strain; and determining the critical racing Wei Zhi number of the target particle material based on the shear rate corresponding to the target particle material when solid-hydraulic behavior conversion occurs. In this way, the critical number of the target particle material Wei Zhi can be determined, and the determined critical number Wei Zhi can be used to predict the mechanical behavior transition of the particle material from solid to liquid, so that the development of new synthetic materials in the related field can be assisted, and disaster prevention and reduction guidance can be provided.
Based on the same inventive concept, the embodiment of the present application further provides a device for determining the number of critical particle material runs Wei Zhi, which corresponds to the method for determining the number of critical particle material runs Wei Zhi, and since the principle of solving the problem by the device in the embodiment of the present application is similar to that of the method in the embodiment of the present application, the implementation of the device can refer to the implementation of the method, and the repetition is omitted.
Referring to fig. 2, fig. 2 is a schematic structural diagram of a determining device for determining the critical number of particles Wei Zhi according to an exemplary embodiment of the present application.
As shown in fig. 2, the determining apparatus 200 includes:
the obtaining module 210 is configured to obtain a shear modulus of a target particulate material, and a critical strength corresponding to the target particulate material when the solid-hydraulic behavior of the target particulate material is converted under the action of a shear force;
the critical strain determining module 220 is configured to determine a critical strain corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs, based on a shear modulus of the target particulate material and a critical strength corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs under the action of a shear force;
a shear rate determining module 230, configured to determine, based on the critical strain, a shear rate corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs;
the critical number of races Wei Zhi determining module 240 is configured to determine the critical number of races Wei Zhi of the target particulate material based on the shear rate corresponding to the target particulate material when the solid-hydraulic behavior transition occurs.
Optionally, the critical strain determining module 220 is specifically configured to:
based on the shear modulus of the target particle material and the critical strength corresponding to the target particle material when the solid-hydraulic behavior conversion occurs under the action of the shear force, determining the critical strain corresponding to the target particle material when the solid-hydraulic behavior conversion occurs by using the following formula:
wherein,the critical strain corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />The strength corresponding to the solid-hydraulic behavior conversion of the target particle material under the action of shearing force; />Is the shear modulus of the target particulate material.
Optionally, the shear rate determination module 230 is specifically configured to:
acquiring the relaxation speed of the target particle material under the action of a shearing force and the average diameters of a plurality of sub-particle materials included in the target particle material;
the shear rate of the target particulate material is determined based on the critical strain, a relaxation rate of the target particulate material under the action of the shear force, and an average diameter of a plurality of sub-particulate materials included in the target particulate material.
Optionally, the shear rate determination module 230 is specifically configured to:
based on the critical strain, the relaxation speed of the target particulate material under the action of the shearing force, and the average diameters of a plurality of sub-particulate materials included in the target particulate material, determining the shearing rate corresponding to the target particulate material when the solid-hydraulic behavior conversion occurs by using the following formula:
wherein,the shearing rate corresponding to the solid-hydraulic behavior conversion of the target particle material is obtained; />A relaxation rate of the target particulate material under shear; />Is the average diameter of a plurality of sub-particulate materials included within the target particulate material.
The critical race Wei Zhi number determining module 240 is specifically configured to:
acquiring the density of the target particle material, the average diameters of a plurality of sub-particle materials included in the target particle material and the strength of the target particle material at any moment in the process of being subjected to shearing force;
the critical count Wei Zhi of the target particulate material is determined based on the density of the target particulate material, the shear rate corresponding to the target particulate material when the solid-hydraulic behavior transition occurs, the average diameter of the plurality of sub-particulate materials included within the target particulate material, and the strength of the target particulate material at any time during the shear force exposure.
Optionally, the critical race Wei Zhi number determining module 240 is specifically configured to:
based on the density of the target particulate material, the shear rate corresponding to the target particulate material when the solid-hydraulic behavior transition occurs, the average diameters of a plurality of sub-particulate materials included in the target particulate material, and the strength of the target particulate material at any time during the process of receiving the shear force, the critical number of the target particulate material Wei Zhi is determined using the following formula:
wherein,a critical count Wei Zhi for the target particulate material; />Is the strength of the target particulate material at any time during the shear force.
According to the device for determining the critical number of the granular material Wei Zhi, the critical number of the target granular material Wei Zhi can be determined, and then the determined critical number of the critical material Wei Zhi can be used for predicting the mechanical behavior transition of the granular material from solid to liquid, so that the device can help to develop new synthetic materials in the related field and provide disaster prevention and reduction guidance.
Referring to fig. 3, fig. 3 is a schematic structural diagram of an electronic device according to an embodiment of the present application. As shown in fig. 3, the electronic device 300 includes a processor 310, a memory 320, and a bus 330.
The memory 320 stores machine-readable instructions executable by the processor 310, when the electronic device 300 is running, the processor 310 communicates with the memory 320 through the bus 330, and when the machine-readable instructions are executed by the processor 310, the steps of the method for determining the critical count of the particulate material Wei Zhi in the method embodiment can be executed, and the specific implementation manner can be referred to the method embodiment and will not be described herein.
The embodiment of the present application further provides a computer readable storage medium, where a computer program is stored on the computer readable storage medium, and when the computer program is executed by a processor, the steps of the method for determining the critical number of the particulate material Wei Zhi in the method embodiment described above may be executed, and a specific implementation manner may refer to the method embodiment and will not be described herein.
It will be clear to those skilled in the art that, for convenience and brevity of description, specific working procedures of the above-described systems, apparatuses and units may refer to corresponding procedures in the foregoing method embodiments, and are not repeated herein.
In the several embodiments provided in this application, it should be understood that the disclosed systems, devices, and methods may be implemented in other manners. The above-described apparatus embodiments are merely illustrative, for example, the division of the units is merely a logical function division, and there may be other manners of division in actual implementation, and for example, multiple units or components may be combined or integrated into another system, or some features may be omitted, or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed with each other may be through some communication interface, device or unit indirect coupling or communication connection, which may be in electrical, mechanical or other form.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in each embodiment of the present application may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit.
The functions, if implemented in the form of software functional units and sold or used as a stand-alone product, may be stored in a non-volatile computer readable storage medium executable by a processor. Based on such understanding, the technical solution of the present application may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the methods described in the embodiments of the present application. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (Random Access Memory, RAM), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
Finally, it should be noted that: the foregoing examples are merely specific embodiments of the present application, and are not intended to limit the scope of the present application, but the present application is not limited thereto, and those skilled in the art will appreciate that while the foregoing examples are described in detail, the present application is not limited thereto. Any person skilled in the art may modify or easily conceive of the technical solution described in the foregoing embodiments, or make equivalent substitutions for some of the technical features within the technical scope of the disclosure of the present application; such modifications, changes or substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present application, and are intended to be included in the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.