Quantifying the anisotropic linear elastic behavior of solids

Quantifying the anisotropic linear elastic behavior of solids
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量化固体的各向异性线弹性行为

DOI:
10.1016/j.ijmecsci.2019.105131
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发表时间:
2019
影响因子:
7.3
通讯作者:
Goenezen, Sevan
Goenezen, Sevan
中科院分区:
工程技术1区
文献类型:
--
作者:
Mei, Yue;Goenezen, Sevan

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在这项工作中,我们提出了一种非破坏性的方法来表征各向异性弹性固体的非均匀力学行为。这种方法是基于迭代逆算法的有限元离散计划的框架。我们测试所提出的方法与几个理论研究,并观察到,在测量的位移场的低噪声水平,它是可能的映射各向异性的线弹性参数分布具有高精度。我们还观察到,与额外的位移场测量,反问题的解决方案变得更加独特。然而,对于较高的噪声水平(3%),重建的质量恶化的正交各向异性弹性张量的parameterC12。进行了理论分析,我们证明,这可能是由于相对于C12的目标函数的小梯度。总的来说,所提出的方法具有表征基于聚合物的材料或组织的病理学的各向异性力学行为的潜力。
In this work, we present a non-destructive approach to characterize the heterogeneous mechanical behavior of anisotropic elastic solids. This approach is based on iterative inverse algorithms using the framework of finite element discretization schemes. We test the proposed approach with several theoretical studies and observe that for a low noise level in measured displacement fields, it is possible to map the anisotropic linear elastic parameter distributions with high accuracy. We also observe that with additional displacement field measurements, the solution to the inverse problem becomes more unique. However, for higher noise levels (3%), the quality of the reconstructions deteriorates for the parameterC12of the orthotropic elasticity tensor. A theoretical analysis is performed and we demonstrate that this may be due to small gradients of the objective function with respect toC12. Overall, the proposed approach has potential to characterize the anisotropic mechanical behavior of polymer based materials or tissues for pathology.
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