CN107729605A - A kind of modification method of the layer stripping residual stress measurement value based on Plate Theory - Google Patents
A kind of modification method of the layer stripping residual stress measurement value based on Plate Theory Download PDFInfo
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- CN107729605A CN107729605A CN201710796460.3A CN201710796460A CN107729605A CN 107729605 A CN107729605 A CN 107729605A CN 201710796460 A CN201710796460 A CN 201710796460A CN 107729605 A CN107729605 A CN 107729605A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
- G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
- G01L5/0047—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes measuring forces due to residual stresses
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- G—PHYSICS
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- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
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- G06F2119/06—Power analysis or power optimisation
Abstract
In order to improve the measurement accuracy to material internal residual stress of layer stripping, a kind of modification method of the layer stripping residual stress measurement value based on Plate Theory is proposed.The present invention is based on Elasticity and Plate Theory, the computational methods of the residual stress release of material internal in material removal process are derived, so as to establish the surface residual stress successively peelled off and the conversion relation of this layer of initial residual stress, after known delamination in the case of each surface residual stress, you can inverse obtains the initial residual stress of this layer.
Description
Technical field
The present invention relates to workpiece residual stress detection field, belong to a kind of modification method of layer stripping measurement remnant stress.
Background technology
In industrial processes, either various mechanical processing process, reinforcement process, uneven plastic deformation are still
Metallographic change all inevitably can produce residual stress on material and its product.Residual stress is a kind of internal stress, this
Internal stress balances each other certainly, and can still remain in material internal after external force and uneven temperature field all disappear.In this
Stress can produce certain influence, such as fatigue strength, static strength, brittle break etc. for part.These are influenceed in common row
Influence smaller caused by industry, but for some high and advanced industries, any one influences all produce catastrophic consequence.
So rationally effective control residual stress is highly important for many industries.If want rationally to have residual stress
The control of effect, there will be more accurate, rational measuring method to carry out measurement remnant stress first.
Existing residual stress measuring method such as X-ray diffraction method, boring method, Nanoindentation etc. can only measurement surfaces
Residual stress, still layer stripping is used to measure for the residual stress of material internal.However, remove material in layer stripping
During, stress will discharge, and the stress value directly measured can not reflect the initial stress value of material.Go for material
The internal initial residual stress of material to the measured value of layer stripping, it is necessary to be modified.It is recommended that a kind of science, reasonable, reliably stripping
The modification method of layer method, is the key for being capable of accurate measurement material internal residual stress.
The content of the invention
1., purpose
In order to improve the measurement accuracy to material internal residual stress of layer stripping, propose a kind of based on Plate Theory
The modification method of layer stripping residual stress measurement value.When measuring test specimen residual stress using layer stripping, test specimen is often a rectangle
Plate.The present invention is based on Elasticity and Plate Theory, has derived the residual stress release of material internal in material removal process
Computational methods, so as to establish the surface residual stress successively peelled off and the conversion relation of this layer of initial residual stress, in known stripping
After layer in the case of each surface residual stress, you can inverse obtains the initial residual stress of this layer.
2nd, technical scheme
This invention takes following technical scheme：
When layer stripping surveys material residual stress, test specimen typically selects rectangular slab test specimen, the master of the residual stress of plate parts
Stress direction is generally parallel to the direction on orthogonal two sides of rectangular slab, i.e., is approximately along the shearing stress of long side and short side
0.When a part of material is removed, original original stress equilibrium state will be destroyed, and the weight of internal stress will occur therewith for test specimen
Distribution and flexural deformation.The opposite side that the bending caused by the imbalance of some direction residual stress is equivalent to the plate direction applies
Uniform torque.The long side direction for now providing rectangular slab is X-direction, and short side direction is Y-direction.Equivalent moment MyAnd MxSize
It can be calculated by formula (1) and (2)：
Wherein, σxAnd σyRespectively it is stripped the mean stress of layer in x and y direction；h1Workpiece before being peelled off for the 1st layer
Gross thickness, h2The gross thickness of workpiece before being peelled off for the second layer, t is the thickness for peelling off layer.
According to Plate Theory, the curvature 1/R of buckling deformation caused by the uniform torque that rectangular slab both sides applyxAnd 1/RyCan
To there is formula (3)-(5) to be calculated：
Wherein, D is the bending resistance of plate, and the modulus of elasticity of E materials, μ is Poisson's ratio.
When plate shape material for test is successively peelled off, test specimen stresses re-distribution in X direction and flexural deformation can be by formulas
(6)-(10) are calculated：
In formula (6)-(10), i=1,2,3 ..., n-1.
Wherein, Rx,i-1And Rx,iIt is the radius of curvature for peelling off X-direction warpage before and after i-th layer；σx,i-1,1And σy,i-1,1Be
After the i-th -1 layer is stripped, the mean stress of remaining workpiece top layer X and Y-direction；hiIt is i-th layer of thickness for being stripped preceding workpiece；
axiIt is i-th layer and is stripped rear surface to the distance of deformation neutral surface；SxiIs be i-th layer be stripped after, in the residual of workpiece top surface
Residue stress variable quantity；Sx,i,jBe i-th layer be stripped after, the residual stress variable quantity in jth layer；σx,i,jIt is i-th layer to be stripped
Afterwards, the residual stress in jth layer after X-direction redistribution.The stress distribution and buckling deformation situation of Y-direction can similarly obtain.
Above-mentioned formula is by initial residual stress field, calculates the remaining residual stress of each layer and change during delamination
Shape.However, when reality is measured with layer stripping, the initial residual stress of workpiece can not be really obtained, can only measure and successively remove
Cheng Zhong, the residual stress of workpiece top layer.Therefore, can further be derived after each layer is stripped based on formula (1)-(10)
When known to top layer residual stress, the computational methods of workpiece initial residual stress, that is, complete to repair layer stripping survey residual-stress value
Just.
In summary, a kind of modification method of the layer stripping residual stress measurement value based on Plate Theory of the present invention, the party
The concrete operation step of method is as follows：
Step 1：A rectangular slab workpiece to be measured is taken, if its thickness is H, its outer surface stress value is measured, top layer X can be obtained
Direction and the stress value of Y-direction.The X-direction stress for measuring workpiece surface is designated as σx0,1, X-direction stress is designated as σy0,1.It is remaining
The measuring method of stress can use one kind in X-ray diffraction method, boring method, Nanoindentation；
Step 2：Workpiece for measurement is hypothetically divided into n-layer, the methods of using mechanical milling, chemical milling, removed to be measured
Workpiece surface thickness is one layer of t, t=H/n.
Step 3：The stress of workpiece surface after measurement peels a layer from, obtains X and the stress value of Y-direction, is designated as Sx1With
Sy1；
Step 4：Repeat step two and step 3, material for test is successively peelled off, and measure answering for its surface both direction
Power.When needing along residual stress in workpiece surface k layer depths direction, it is necessary to peel off k-1 layers, and measure k subsurfaces should
Power, obtain σx0,1,σx1,1,σx2,1,…,σx,k-1,1And σy0,1,σy1,1,σy2,1,…,σy,k-1,1。
Step 5：Calculated according to formula (11)-(13), utilize σx0,1And σy0,1Calculate ax1,ay1,Sx1,Sy1, then pass through public affairs
Formula (14)-(17), calculate intermediate variable Sx1,1And Sy1,1, and then obtain σx0,2And σy0,2.Wherein, σx0,2And σy0,2As workpiece
The correction value of residual stress in the second layer, i.e. layer stripping measurement remnant stress.
σx0,2=σx1,1+Sx1,1 (14)
σy0,2=σy1,1+Sy1,1 (16)
Step 6：Similarly the 5th step, using formula (18)-(21) can calculate workpiece the 3rd is initial residual to n-layer test specimen
The X-direction stress value σ of residue stressx0,3,σx0,4,…,σx0,n, Y-direction stress value σy0,3,σy0,4,…, σy0,nIt can similarly obtain.
In formula (18)-(21), i=2,3 ..., n-1.
3rd, advantage and effect
(1) modification method proposed by the present invention is based on Elasticity and Plate Theory, it is contemplated that both direction residual stress
Coupling, reality is more nearly based on the modification method that the mechanics of materials proposes than tradition, there is higher amendment precision.
(2) by description of the invention establishment revision program, you can form the modification method of layer stripping.The program letter of establishment
Single practical, computational efficiency is far above the modification method based on finite element method.
Brief description of the drawings
Fig. 1 is the modification method of the layer stripping residual stress measurement value based on Plate Theory；
Embodiment
1 pair of method flow of the invention is further described below in conjunction with the accompanying drawings, so that advantages and features of the invention
It can be easier to be readily appreciated by one skilled in the art, apparent clearly be defined so as to be made to protection scope of the present invention.Its
In, the detection platform that accompanying drawing 1 describes is exemplary, is only used for explaining the present invention, and can not be construed to the limit to the present invention
System.
Step 1：A rectangular slab workpiece to be measured is taken, if its thickness is H, its outer surface stress value is measured, top layer X can be obtained
Direction and the stress value of Y-direction.The X-direction stress for measuring workpiece surface is designated as σx0,1, X-direction stress is designated as σy0,1.It is remaining
The measuring method of stress can use one kind in X-ray diffraction method, boring method, Nanoindentation；
Step 2：Workpiece for measurement is hypothetically divided into n-layer, the methods of using mechanical milling, chemical milling, removed to be measured
Workpiece surface thickness is one layer of t, t=H/n.
Step 3：The stress of workpiece surface after measurement peels a layer from, obtains X and the stress value of Y-direction, is designated as Sx1With
Sy1；
Step 4：Repeat step two and step 3, material for test is successively peelled off, and measure answering for its surface both direction
Power.When needing along residual stress in workpiece surface k layer depths direction, it is necessary to peel off k-1 layers, and measure k subsurfaces should
Power, obtain σx0,1,σx1,1,σx2,1,…,σx,k-1,1And σy0,1,σy1,1,σy2,1,…,σy,k-1,1。
Step 5：Calculated according to formula (11)-(13), utilize σx0,1And σy0,1Calculate ax1,ay1,Sx1,Sy1, then pass through public affairs
Formula (14)-(17), calculate intermediate variable Sx1,1And Sy1,1, and then obtain σx0,2And σy0,2.Wherein, σx0,2And σy0,2As workpiece
The correction value of residual stress in the second layer, i.e. layer stripping measurement remnant stress.
Step 6：Similarly the 5th step, using formula (18)-(21) can calculate workpiece the 3rd is initial residual to n-layer test specimen
The X-direction stress value σ of residue stressx0,3,σx0,4,…,σx0,n, Y-direction stress value σy0,3,σy0,4,…, σy0,nIt can similarly obtain.
Claims (1)
1. a kind of modification method of the layer stripping residual stress measurement value based on Plate Theory, managed based on Elasticity and plate shell
By, derived in layer stripping measurement remnant stress path, the deformation of workpiece and redistribution situation, utilize deformation and stresses re-distribution
Formula, establish the quantitative relationship of layer stripping measured value and initial residual stress value (correction value).
The present invention has advantages below：(1) modification method proposed by the present invention is based on Elasticity and Plate Theory, it is contemplated that two
The coupling of individual direction residual stress, reality is more nearly based on the modification method that the mechanics of materials proposes than tradition, had more
High amendment precision；(2) by description of the invention establishment revision program, you can form the modification method of layer stripping.The journey of establishment
Sequence is simple and practical, and computational efficiency is far above the modification method based on finite element method.
This method comprises the following steps that：
Step 1：A rectangular slab workpiece to be measured is taken, if its thickness is H, its outer surface stress value is measured, top layer X-direction can be obtained
With the stress value of Y-direction.The X-direction stress for measuring workpiece surface is designated as σx0,1, X-direction stress is designated as σy0,1.Residual stress
Measuring method can use one kind in X-ray diffraction method, boring method, Nanoindentation；
Step 2：Workpiece for measurement is hypothetically divided into n-layer, the methods of using mechanical milling, chemical milling, removes workpiece for measurement table
Face thickness is one layer of t, t=H/n.
Step 3：The stress of workpiece surface after measurement peels a layer from, obtains X and the stress value of Y-direction, is designated as Sx1And Sy1；
Step 4：Repeat step two and step 3, material for test is successively peelled off, and measure the stress of its surface both direction.When
Need, along, it is necessary to peel off k-1 layers, and k subsurface stress is measured during residual stress in workpiece surface k layer depths direction, to obtain
σx0,1,σx1,1,σx2,1,…,σx,k-1,1And σy0,1,σy1,1,σy2,1,…,σy,k-1,1。
Step 5：Calculated according to formula (1)-(3), utilize σx0,1And σy0,1Calculate ax1,ay1,Sx1,Sy1, then by formula (4)-
(7) intermediate variable S, is calculatedx1,1And Sy1,1, and then obtain σx0,2And σy0,2.Wherein, σx0,2And σy0,2As in the workpiece second layer
The correction value of residual stress, i.e. layer stripping measurement remnant stress.
Step 6：Similarly the 5th step, using formula (8)-(11) can calculate workpiece the 3rd to n-layer test specimen initial residual stress
X-direction stress value σx0,3,σx0,4,…,σx0,n, Y-direction stress value σy0,3,σy0,4,…,σy0,nIt can similarly obtain.
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In formula (8)-(11), i=2,3 ..., n-1.
Priority Applications (1)
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| CN111337174A (en) * | 2020-03-23 | 2020-06-26 | 北京科技大学 | Method for measuring residual stress inside thick-wall circular tube |
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| CN112730492A (en) * | 2020-12-16 | 2021-04-30 | 安徽恒利增材制造科技有限公司 | Stress field testing method and system for additive manufacturing high-strength aluminum alloy |
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| CN110018050A (en) * | 2019-04-25 | 2019-07-16 | 合肥联宝信息技术有限公司 | Method for obtaining the elasticity modulus of tabular component |
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| CN111337174A (en) * | 2020-03-23 | 2020-06-26 | 北京科技大学 | Method for measuring residual stress inside thick-wall circular tube |
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| CN112179541A (en) * | 2020-09-02 | 2021-01-05 | 大连理工大学 | Initial residual stress adjusting method based on deformation reverse thrust |
| CN112179541B (en) * | 2020-09-02 | 2021-07-16 | 大连理工大学 | Initial residual stress adjusting method based on deformation reverse thrust |
| CN112730492A (en) * | 2020-12-16 | 2021-04-30 | 安徽恒利增材制造科技有限公司 | Stress field testing method and system for additive manufacturing high-strength aluminum alloy |
| CN113221260A (en) * | 2020-12-21 | 2021-08-06 | 哈尔滨理工大学 | Vibration control method based on bifurcation and chaos analysis |
| CN113221260B (en) * | 2020-12-21 | 2023-07-14 | 哈尔滨理工大学 | Vibration control method based on bifurcation and chaotic analysis |
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