ArticleComputer methods in applied mechanics and engineering2017
Direct Error in Constitutive Equation Formulation for Plane stress Inverse Elasticity Problem.
Article in Computer methods in applied mechanics and engineering, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Robust Physics-Informed Neural Network Approach for Estimating Heterogeneous Elastic Properties from Noisy Displacement Data.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- [Reconstruction of elasticity modulus distribution base on semi-supervised neural network].Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi · 2024Article
- Physics-Informed Deep-Learning For Elasticity: Forward, Inverse, and Mixed Problems.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2023Article
- Elasticity imaging using physics-informed neural networks: Spatial discovery of elastic modulus and Poisson's ratio.Acta biomaterialia · 2023Article
- Learning hidden elasticity with deep neural networks.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
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3 authors.
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Abstract
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.
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