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CN108918308A - A kind of quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter - Google Patents

A kind of quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter Download PDF

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CN108918308A
CN108918308A CN201810469602.XA CN201810469602A CN108918308A CN 108918308 A CN108918308 A CN 108918308A CN 201810469602 A CN201810469602 A CN 201810469602A CN 108918308 A CN108918308 A CN 108918308A
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titanium alloy
layer
modified layer
elastoplastic
simulation parameter
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马永
王志刚
于盛旺
林乃明
杨瞾
唐宾
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Taiyuan University of Technology
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Taiyuan University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/40Investigating hardness or rebound hardness
    • G01N3/42Investigating hardness or rebound hardness by performing impressions under a steady load by indentors, e.g. sphere, pyramid
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0014Type of force applied
    • G01N2203/0016Tensile or compressive
    • G01N2203/0019Compressive
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058Kind of property studied
    • G01N2203/0076Hardness, compressibility or resistance to crushing
    • G01N2203/0078Hardness, compressibility or resistance to crushing using indentation

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  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
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  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

本发明公开了一种钛合金表面梯度改性层弹塑性性能参数的定量表征方法,属于金属表面改性层性能表征领域。钛合金表面梯度改性层包括沉积层和扩散层两部分。首先,利用辉光放电光谱仪和扫描电镜确定沉积层和扩散层的厚度;其次,结合纳米压入测试和有限元数值模拟反演分析算法确定钛合金基材和沉积层的弹塑性性能参数;对沉积层进行纳米压入测试时,压痕深度要小于沉积层厚度的1/10,以避免扩散层和基体的影响;最后,利用数学线性简化模型确定扩散层的弹塑性性能参数。本发明易于应用,所得结果准确可靠,可以用来定量表征钛合金表面梯度改性层的弹塑性性能参数。

The invention discloses a quantitative characterization method for elastic-plastic performance parameters of a gradient modified layer on a titanium alloy surface, and belongs to the field of performance characterization of a metal surface modified layer. The titanium alloy surface gradient modification layer includes two parts: a deposition layer and a diffusion layer. First, the thickness of the deposition layer and the diffusion layer were determined by using a glow discharge spectrometer and a scanning electron microscope; secondly, the elastic-plastic performance parameters of the titanium alloy substrate and the deposition layer were determined by combining the nano-indentation test and the finite element numerical simulation inversion analysis algorithm; When the deposition layer is subjected to nano-indentation testing, the indentation depth should be less than 1/10 of the thickness of the deposition layer to avoid the influence of the diffusion layer and the matrix; finally, the elastoplastic performance parameters of the diffusion layer are determined using a mathematical linear simplified model. The invention is easy to apply, the obtained result is accurate and reliable, and can be used to quantitatively characterize the elastic-plastic performance parameters of the titanium alloy surface gradient modification layer.

Description

A kind of quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter
Technical field
The present invention relates to a kind of quantitatively characterizing methods of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter, belong to gold Metal surface modified layer mechanical property representational field.
Background technique
Titanium alloy is widely used in aerospace, changes since specific strength is high, anti-corrosion and biocompatibility is excellent The fields such as work, sports apparatus and biologic medical.But titanium alloy hardness is low, coefficient of friction is high, and surface mechanical properties are obviously not as good as often It with ferrous metals structural material, and then limits its scope of application, affects the safety and reliability of its structure.Therefore, right Titanium alloy surface is modified processing, and improving its surface load drag is the proposition for needing emphasis to solve in titanium alloy application.Mesh The preceding technique for carrying out plasma surface alloying processing for titanium alloy is comparatively mature, can by control workpiece pole and Pressure difference and modified technique temperature between source electrode, obtain the gradient modified layer of different-thickness and performance.However, due to titanium alloy Surface graded modified layer mechanical property parameters lack quantitatively characterizing means, though cause it to have preferable modified performance can not be It is widely used in practice.
Titanium alloy surface gradient modified layer is mainly by its mechanical property of composite hardness qualitative characterization at present, however practical face The problem of facing is the Elastoplastic Performances in Simulation parameter for only quantitatively acquiring gradient modified layer, can just be investigated by finite element numerical simulation Stress, strain regime under contact conditions inside modified layer, establish corresponding inefficacy mechanism, are then Surface-modified Layers on Ti Alloy Design and engineer application provide theoretical reference.
Summary of the invention
The present invention is intended to provide a kind of quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter, leads to The elasticity modulus of change of gradient on titanium alloy surface gradient modified layer thickness direction, strain hardening can quantitatively be acquired by crossing this method Index and yield limit can then determine that corresponding power law strengthens constitutive equation at different-thickness.
The present invention provides a kind of plastoelastic quantitatively characterizing methods of titanium alloy surface gradient modified layer, use nanometer first Indentation test and finite element numerical simulation back analysis algorithm, determine the Elastoplastic Performances in Simulation parameter of titanium alloy substrate, then determine The Elastoplastic Performances in Simulation parameter of sedimentary determines the Elastoplastic Performances in Simulation parameter of diffusion layer finally by mathematical linear simplified model.
Above-mentioned characterizing method, comprises the steps of:
Step 1:Determine the thickness of sedimentary and diffusion layer:Changed using GDOES-750 glow discharge spectrometry detection gradient The component distributing of property layer, the thickness d of sedimentary is determined in conjunction with cross-sectional scans electromicroscopic photograph1With the thickness d of diffusion layer2
Step 2:Nanometer indentation test:10 test points are chosen, using displacement loading mode, to titanium alloy substrate and are sunk Build-up surface carries out nanometer indentation test respectively, is averaged as test result;
Step 3:Solve the Elastoplastic Performances in Simulation parameter of titanium alloy substrate and sedimentary:Utilize ABAQUS finite element software pair Nanometer process of press in carries out the back analysis algorithm of back analysis foundation, solves the Elastoplastic Performances in Simulation of titanium alloy substrate and sedimentary Parameter;Back analysis algorithm includes following 5 formula:
σ in above-mentioned formularIt is characterized stress, εrIt is characterized strain, Π u is dimensionless function, is obtained by finite element modelling; ErFor complex elastic-modulus, H is hardness, is directly measured by nanometer indentation;C is the curvature of loading curve in test result, is passed through Curve matching determines;hmaxDeep, the h for the corresponding maximum pressure of load-displacement curvesfFor the corresponding residual pressure of load-displacement curves It is deep, it is determined by test gained load-displacement curves;N is work-hardening exponential, is determined by dimensionless function;E is elasticity modulus, It is determined by complex elastic-modulus;V is Poisson's ratio, takes constant 0.25;
Step 4:Solve the Elastoplastic Performances in Simulation parameter of diffusion layer:Diffusion layer is solved using linear simplifiation model expression Elastoplastic Performances in Simulation parameter;Linear simplifiation model expression is:(directly being extracted by attached drawing 2)
X represents elasticity modulus, yield limit and work-hardening exponential (X is expressed as three parameters, because three accords in formula Close sublinear relationship), d is the vertical range of distance modified layer surface in certain point inside modified layer, XSubstrateAnd XSurfaceRespectively For titanium alloy substrate and the elasticity modulus of sedimentary, yield limit and work-hardening exponential.
Above-mentioned characterizing method, when carrying out nanometer indentation test to sedimentary in the step 2, depth of cup should be less than d1/ 10, to avoid the influence of diffusion layer and matrix.
Above-mentioned characterizing method, feature stresses σ in the step 3r, characteristic strain εrAnd the expression of dimensionless function Π u Formula is determined, the mechanical property ginseng of assumed material by assuming that material known to a collection of Elastoplastic Performances in Simulation carries out finite element modelling Number covers most metals.
Above-mentioned characterizing method, back analysis algorithm corresponds to the expression of formula (3) and is in the step 3:
Above-mentioned characterizing method, the linear math simplified model in the step 4 is changed according to different modified techniques and difference Property layer cross section nanometer indentation test gained mechanical property parameters Distribution dynamics depending on.
Beneficial effects of the present invention:
Nanometer indentation test need to only be carried out to titanium alloy substrate and sedimentary using the method for the present invention, without to modified layer The cross section of (sedimentary adds diffusion layer) carries out nanometer indentation test, so as to quickly and efficiently quantitatively characterizing titanium alloy table The mechanical property parameters of face gradient modified layer.
Detailed description of the invention
Fig. 1 is that 1 gradient modified layer of embodiment and nanometer are pressed into schematic diagram.
Fig. 2 is the linear simplifiation model that embodiment 1 solves diffusion layer Elastoplastic Performances in Simulation parameter.
Fig. 3 is load-displacement curves pair obtained by the pure titanium surface molybdenum diffusion layer micron micro-indentation test of embodiment 1 and finite element modelling Than figure.
Specific embodiment
The present invention is further illustrated below by embodiment, but is not limited to following embodiment.
Embodiment 1:
(technological parameter is so that molybdenum Mo is seeped on the surface pure titanium Ti as an example:Source electrode -660~-900V of back bias voltage, workpiece pole back bias voltage - 300~-650V, 900 DEG C of temperature, soaking time 3h), the Elastoplastic Performances in Simulation ginseng of Mo gradient modified layer is solved by the method for the invention Number, specifically includes following steps:
Step 1:Determine the thickness of sedimentary and diffusion layer:Changed using GDOES-750 glow discharge spectrometry detection gradient The component distributing of property layer, the thickness d of sedimentary is determined in conjunction with cross-sectional scans electromicroscopic photograph1With the thickness d of diffusion layer2
Step 2:Nanometer indentation test:10 test points are chosen, using displacement loading mode, to titanium alloy substrate and deposition Layer surface carries out nanometer indentation test respectively, is averaged as test result.When carrying out nanometer indentation test to sedimentary, pressure Trace depth is less than d1/ 10, to avoid the influence of diffusion layer and matrix;
Step 3:Solve the Elastoplastic Performances in Simulation parameter of titanium alloy substrate and sedimentary:Using ABAQUS finite element software to receiving Rice process of press in carries out the back analysis algorithm of back analysis foundation, solves the Elastoplastic Performances in Simulation ginseng of titanium alloy substrate and sedimentary Number.Back analysis algorithm includes following 5 formula:
σ in above-mentioned formularAnd εrIt is characterized stress and characteristic strain, ΠuFor dimensionless function, ErIt is respectively compound bullet with H Property modulus and hardness, directly measured by nanometer indentation, C is the curvature of loading curve in test result, hmaxAnd hfRespectively test The corresponding maximum pressure of gained load-displacement curves is deep and residual pressure is deep, and n is work-hardening exponential, and E is elasticity modulus.
Step 4:Solve the Elastoplastic Performances in Simulation parameter of diffusion layer:The bullet of diffusion layer is solved using linear simplifiation model expression Plastic property parameter.Linear simplifiation model expression is:
X represents elasticity modulus, yield limit and work-hardening exponential in formula, and d is that certain point distance is modified inside modified layer The vertical range of layer surface, XSubstrateAnd XSurfaceRespectively titanium alloy substrate and the elasticity modulus of sedimentary, yield limit and Work-hardening exponential.
It can be shown in Table through the above steps with the Elastoplastic Performances in Simulation parameter of quantitatively characterizing Mo gradient modified layer, specific solving result 1.Fig. 1 and Fig. 2 is respectively nanometer indentation schematic diagram and linear simplifiation illustraton of model.The mode that nanometer indentation takes displacement to load.It is right Pure titanium surface molybdenum gradient modified layer carries out micron indentation test and finite element numerical simulation, gained empirical curve and simulation curve are deposited The extraordinary goodness of fit (as shown in Figure 3), it was demonstrated that the Elastoplastic Performances in Simulation parameter accurate and effective of required Mo gradient modified layer, simultaneously Also demonstrate the feasibility of the method for the present invention.
The Elastoplastic Performances in Simulation parameter of 1 surface Ti Mo gradient modified layer of table
Embodiment 2:
(technological parameter is so that nickel is seeped on titanium alloy ti6al4v surface as an example:Source electrode -700~-900V of back bias voltage, workpiece pole Back bias voltage -500~-700V, 930 DEG C of temperature, soaking time 3h), using the method and steps of same embodiment 1, acquire Ni gradient The Elastoplastic Performances in Simulation parameter of modified layer is shown in Table 2.
The Elastoplastic Performances in Simulation parameter of 2 surface Ti6Al4V Ni gradient modified layer of table
Embodiment 3:
(technological parameter is by taking titanium alloy ti6al4v surface zirconium-nitrogen (Zr-N) permeation as an example:Source electrode back bias voltage -720~- 820V, workpiece pole -450~-500V of back bias voltage, 930 DEG C of technological temperature, soaking time 3h), using same embodiment 1 method and Step, the Elastoplastic Performances in Simulation parameter for acquiring Zr-N gradient modified layer are shown in Table 3.
The Elastoplastic Performances in Simulation parameter of 3 surface Ti6Al4V Zr-N gradient modified layer of table

Claims (6)

1. a kind of quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter, it is characterised in that:It adopts first With nanometer indentation test and finite element numerical simulation back analysis algorithm, the Elastoplastic Performances in Simulation parameter of titanium alloy substrate is determined, so Determine that the Elastoplastic Performances in Simulation parameter of sedimentary determines the Elastoplastic Performances in Simulation of diffusion layer finally by mathematical linear simplified model afterwards Parameter.
2. the quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter according to claim 1, It is characterized in that:It comprises the steps of:
Step 1:Determine the thickness of sedimentary and diffusion layer:Gradient modified layer is detected using GDOES-750 glow discharge spectrometry Component distributing, the thickness d of sedimentary is determined in conjunction with cross-sectional scans electromicroscopic photograph1With the thickness d of diffusion layer2
Step 2:Nanometer indentation test:10 test points are chosen, using displacement loading mode, to titanium alloy substrate and sedimentary Surface carries out nanometer indentation test respectively, is averaged as test result;
Step 3:Solve the Elastoplastic Performances in Simulation parameter of titanium alloy substrate and sedimentary:Using ABAQUS finite element software to nanometer Process of press in carries out the back analysis algorithm of back analysis foundation, solves the Elastoplastic Performances in Simulation ginseng of titanium alloy substrate and sedimentary Number;Back analysis algorithm includes following 5 formula:
σ in above-mentioned formularIt is characterized stress, εrIt is characterized strain, ΠuFor dimensionless function, obtained by finite element modelling;ErIt is multiple Elasticity modulus is closed, H is hardness, is directly measured by nanometer indentation;C is the curvature of loading curve in test result, quasi- by curve It closes and determines;hmaxDeep, the h for the corresponding maximum pressure of load-displacement curvesfIt is deep for the corresponding residual pressure of load-displacement curves, by surveying Examination gained load-displacement curves determine;N is work-hardening exponential, by dimensionless function ΠuIt determines;E is elasticity modulus, by multiple Elasticity modulus is closed to determine;V is Poisson's ratio, takes constant 0.25;
Step 4:Solve the Elastoplastic Performances in Simulation parameter of diffusion layer:It is moulded using the bullet that linear simplifiation model expression solves diffusion layer Property performance parameter;Linear simplifiation model expression is:
X represents elasticity modulus, yield limit and work-hardening exponential in formula, and d is modified layer inside certain point apart from modified layer table The vertical range in face, XSubstrateAnd XSurfaceRespectively titanium alloy substrate and the elasticity modulus of sedimentary, yield limit and strain Intensified index.
3. the quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter according to claim 2, It is characterized in that:When carrying out nanometer indentation test to sedimentary in the step 2, depth of cup should be less than d1/ 10, to avoid expansion Dissipate the influence of layer and matrix.
4. the quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter according to claim 2, It is characterized in that:Feature stresses σ in the step 3r, characteristic strain εrAnd the expression formula of dimensionless function Π u, by assuming one The progress finite element modelling of material known to Elastoplastic Performances in Simulation is criticized to determine.
5. the quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter according to claim 2, It is characterized in that:Back analysis algorithm corresponds to the expression of formula (3) and is in the step 3:
6. the quantitatively characterizing method of titanium alloy surface gradient modified layer Elastoplastic Performances in Simulation parameter according to claim 2, It is characterized in that:Linear math simplified model in the step 4 is received according to different modified techniques and different modified layer cross sections Depending on the Distribution dynamics of rice indentation test gained mechanical property parameters.
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