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An accurate and explicit approach to modeling realistic hardening‐to‐softening transition effects of metals
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-08-22 , DOI: 10.1002/zamm.202000122
Zi‐Han Xu 1 , Lin Zhan 1 , Si‐Yu Wang 1 , Hui‐Feng Xi 1 , Heng Xiao 1
Affiliation  

A finite strain J2‐flow model of von Mises type for elastoplastic behaviors of metals is proposed with a new characterization of the evolving yield strength. It is intended for providing solutions to a few unresolved issues concerning a simultaneous simulation of realistic hardening and softening effects for metals up to failure. Such issues are concerned with three respects, namely, how to ensure that the simulation is accurate in the sense that sufficient uniaxial experimental data for both hardening and softening effects can be matched with no errors, how to ensure that the simulation is explicit in the sense that any implicit trial‐and‐error iterative procedures in identifying numerous parameters can be bypassed, and how to ensure that the simulation is of broad applicability in the sense that any given uniaxial data for metals can be automatically matched. With the new model proposed, solutions to such issues are obtained by presenting an accurate and explicit form of the yield strength function that automatically matches any given test data. Numerical examples with realistic hardening‐to‐softening transition effects are presented for the first time for the finite strain responses of both uniaxial stretching and simple shearing up to the eventual failure.

中文翻译:

一种精确而明确的方法来模拟金属的实际硬化-软化过渡效应

有限应变J 2提出了冯·米塞斯(von Mises)型金属弹塑性行为的流动模型,并提出了演化屈服强度的新特征。它旨在为一些尚未解决的问题提供解决方案,这些问题涉及同时模拟金属的实际硬化和软化效果直至失效。这些问题涉及三个方面,即在确保足够的用于硬化和软化效果的单轴实验数据可以匹配而没有错误的意义上,如何确保仿真是正确的;如何在意义上确保仿真是明确的?可以绕过任何用于识别众多参数的隐式试验和错误迭代过程,以及在任何给定的金属单轴数据都可以自动匹配的意义上,如何确保模拟具有广泛的适用性。使用提出的新模型,可以通过提供一种精确而明确的屈服强度函数形式来解决此类问题,该函数可以自动匹配任何给定的测试数据。对于单轴拉伸和简单剪切直至最终破坏的有限应变响应,首次给出了具有实际变硬效果的数值示例。
更新日期:2020-08-22
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