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
。