Identifiability of material parameters in solid mechanics
Identifiability of material parameters in solid mechanics
复制标题
DOI：
10.1007/s00419-017-1259-4
复制
发表时间：
2018-02-01
影响因子：
2.8
通讯作者：
Gilbert, Rose Rogin
中科院分区：
文献类型：
--
作者：
Hartmann, Stefan;Gilbert, Rose Rogin
利用弹性、粘弹性、率无关塑性和粘塑性的本构模型识别材料参数在均匀和非均匀变形方面有着悠久的历史。例如，薄壁管的单轴拉伸试验、纯剪切试验、扭转试验或双向拉伸试验都可以通过求解反问题来获得材料参数。通常，参数由数值优化工具确定。在本文中，我们研究了一些非常基本的单层和双层的例子，因为这些测试是更复杂的几何和物理非线性问题的基础。这些简单的例子是单轴拉伸/压缩的情况下，双向拉伸试验的十字形试样，扭转的薄壁管，厚壁管在内部压力和压痕试验。对于具有多层轴向预应变的内外压厚壁管，给出了一个直接适用于程序设计的解析解。目的是了解某些问题是否会导致不可识别的参数。
Material parameter identification using constitutive models of elasticity, viscoelasticity, rate-independent plasticity and viscoplasticity has a long history with regard to homogeneous and inhomogeneous deformations. For example, uniaxial tensile tests, pure shear tests, torsion experiments of thin-walled tubes or biaxial tensile tests are used to obtain the material parameters by solving the inverse problem. Frequently, the parameters are determined by numerical optimization tools. In this paper, we investigate some very basic single- and two-layered examples regarding identifiability, because these tests are the basis for more complex geometrical and physical nonlinear problems. These simple examples are the uniaxial tensile/compression case, biaxial tensile tests of a cruciform specimen, torsion of a thin-walled tube, a thick-walled tube under internal pressure and the indentation test. For the thick-walled tube under internal and external pressure with an axial pre-strain with several layers, an analytical solution is provided directly suitable for programming. The aim is to get an understanding whether some problems lead to non-identifiable parameters.