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Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields

机译:从三维位移场识别大变形塑性本构参数

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The aim of this paper is to provide a general procedure to extract the constitutive parameters of a plasticity model starting from displacement measurements and using the Virtual Fields Method. This is a classical inverse problem which has been already investigated in the literature, however several new features are developed here. First of all the procedure applies to a general three-dimensional displacement field which leads to large plastic deformations, no assumptions are made such as plane stress or plane strain although only pressure-independent plasticity is considered. Moreover the equilibrium equation is written in terms of the deviatoric stress tensor that can be directly computed from the strain field without iterations. Thanks to this, the identification routine is much faster compared to other inverse methods such as finite element updating. The proposed method can be a valid tool to study complex phenomena which involve severe plastic deformation and where the state of stress is completely triaxial, e.g. strain localization or necking occurrence. The procedure has been validated using a three dimensional displacement field obtained from a simulated experiment. The main potentialities as well as a first sensitivity study on the influence of measurement errors are illustrated.
机译:本文的目的是提供一种从位移测量开始并使用虚拟场方法提取塑性模型的本构参数的通用程序。这是一个经典的逆问题,已经在文献中进行了研究,但是在此开发了一些新功能。首先,该过程适用于导致较大塑性变形的一般三维位移场,尽管仅考虑了与压力无关的可塑性,但未进行诸如平面应力或平面应变之类的假设。此外,平衡方程是根据可以从应变场直接计算而无需迭代的偏应力张量编写的。因此,与其他逆方法(例如有限元更新)相比,识别例程要快得多。所提出的方法可以成为研究复杂现象的有效工具,这些复杂现象涉及严重的塑性变形,并且应力状态完全是三轴的,例如应变局部化或出现颈缩。该程序已使用从模拟实验获得的三维位移场进行了验证。说明了主要潜力以及对测量误差影响的首次敏感性研究。

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