A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems
A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems
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DOI：
10.1016/j.cma.2020.112910
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发表时间：
2019-06
期刊：
影响因子：
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通讯作者：
F. Dassi;C. Lovadina;Michele Visinoni
中科院分区：
文献类型：
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作者：
F. Dassi;C. Lovadina;Michele Visinoni
基于Hellinger-Reissner变分原理，提出了求解三维线性弹性问题的虚元法。在小应变理论中，我们提出了一种具有先验对称应力和连续牵引力的低阶方案。给出了收敛性和稳定性分析，并通过数值试验验证了理论预测。
We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger–Reissner variational principle. In the small strain theory, we propose a low-order scheme with a-priori symmetric stresses and continuous tractions across element interfaces. A convergence and stability analysis is developed and we confirm the theoretical predictions via some numerical tests.