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A new approach for reverse analyses in depth-sensing indentation using numerical simulation

机译:一种利用数值模拟进行深度感应压痕反分析的新方法

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摘要

This paper seeks to present a new approach to reverse analysis in depth-sensing indentation which makes use of numerical simulation. This methodology allows the results of experimental hardness tests acquired with single indenter geometry to be used to determine the plastic properties of materials. Forward and reverse analyses of high deformation three-dimensional numerical simulations of Vickers indentation tests are used to determine different mechanical properties of materials: Young's modulus, yield stress and strain-hardening exponent. The Vickers indenter used in the numerical simulations is formulated as a rigid body and takes into account the presence of the most common imperfection of the tip, so-called offset. The contact friction between the Vickers indenter and the deformable body is also considered. The forward analysis uses materials with Young's modulus values from 50 to 600 GPa, yield stress values from 0.3 to 10 GPa and strain-hardening exponents from 0 to 0.6; the Poisson ratio did not vary from 0.3. The representative plastic strain [epsilon]r and the correspondent stress [sigma]r, as previously defined by other authors [Dao M, Chollacoop N, Vliet KJ, Venkatesh TA, Suresh S. Acta Mater 2001;49:3899], were identified by an independent numerical method. The values of the representative plastic strain [epsilon]r obtained for the Vickers indenter confirm those of the above-mentioned authors, despite showing a slight influence from the Young's modulus values. The forward study enables the production of a unique plot of the hardness HIT vs. representative stress [sigma]r, where both are normalized by the Young's modulus E. The proposed reverse analysis provides a unique solution to the representative stress [sigma]r and the strain-hardening exponent, n, given that the Young's modulus is predetermined from the experimental hardness test. Depending on the material properties, the value of n can be more or less sensitive to the scatter of the experimental results obtained using the depth-sensing equipment, particularly the stiffness of the unloading curve. The validity of the proposed reverse analysis method is checked using three real materials: stamping quality steel (DC 06), stainless AISI 304 steel and BK7 glass.
机译:本文力图提出一种利用数值模拟对深度感应压痕进行逆向分析的新方法。这种方法可以将采用单压头几何形状获得的实验硬度测试结果用于确定材料的塑性。维氏压痕测试的高变形三维数值模拟的正向和反向分析用于确定材料的不同机械性能:杨氏模量,屈服应力和应变硬化指数。数值模拟中使用的维氏压头被公式化为刚体,并考虑到尖端最常见的缺陷(即所谓的偏移)的存在。还考虑了维氏压头与可变形体之间的接触摩擦。正向分析使用的材料的杨氏模量值为50至600GPa,屈服应力值为0.3至10GPa,应变硬化指数为0至0.6;泊松比从0.3不变。如先前由其他作者[Dao M,Chollacoop N,Vliet KJ,Venkatesh TA,Suresh S.Acta Mater 2001; 49:3899]所定义的,确定了代表性塑性应变εr和相应的应力σr。通过独立的数值方法尽管显示出受杨氏模量的影响很小,但为维氏压头获得的代表性塑性应变εr的值证​​实了上述作者的值。前瞻性研究能够产生硬度HIT与代表应力σr的唯一图,其中两者均通过杨氏模量E进行归一化。提出的反向分析为代表应力σr和E提供了独特的解决方案。假定杨氏模量是根据实验硬度测试预先确定的,则应变硬化指数为n。根据材料特性,n值可能对使用深度感应设备获得的实验结果的散布或多或少敏感,特别是卸载曲线的刚度。使用三种真实材料检查了所提出的反向分析方法的有效性:冲压优质钢(DC 06),不锈钢AISI 304钢和BK7玻璃。

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