Direct Error in Constitutive Equation Formulation for Plane stress Inverse Elasticity Problem.
Direct Error in Constitutive Equation Formulation for Plane stress Inverse Elasticity Problem.
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DOI：
10.1016/j.cma.2016.10.026
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发表时间：
2017-02-01
影响因子：
7.2
通讯作者：
Barbone PE
中科院分区：
文献类型：
--
作者：
Babaniyi OA;Oberai AA;Barbone PE
给出了全场数据下弹性力学反问题的一种新的计算公式。该公式是本构方程公式中一个错误的变体，但允许直接求解模量场并适应不连续的应变场。目前文献中报道的直接配方在处理应变和材料性能分布的不连续性方面的性能相对较差，推动了该配方的发展。该公式依赖于使本构方程中的误差最小化，以及动量方程约束。对模型问题的数值结果表明，该格式能够处理不连续的、有噪声的应变场，并且对连续和不连续的材料性质分布进行网格加密也是收敛的。文中给出了该方法在乳腺实体瘤弹性模数分布重建中的应用。
We present a new computational formulation for inverse problems in elasticity with full field data. The formulation is a variant of an error in the constitutive equation formulation, but allows direct solution for the modulus field and accommodates discontinuous strain fields. The development of the formulation is motivated by the relatively poor performance of current direct formulations, reported so far in literature, in dealing with discontinuities in the strain and material property distribution. The formulation relies on minimizing the error in the constitutive equation, and a momentum equation constraint. Numerical results on model problems show that the formulation is capable handling discontinuous, and noisy strain fields, and also converging with mesh refinement for continuous and discontinuous material property distributions. The application to reconstruct the elastic modulus distribution in solid breast tumors is shown.