Energetically consistent inelasticity for optimization time integration
Energetically consistent inelasticity for optimization time integration
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DOI：
10.1145/3528223.3530072
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发表时间：
2022-07
期刊：
影响因子：
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通讯作者：
Xuan Li;Minchen Li;Chenfanfu Jiang
中科院分区：
文献类型：
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作者：
Xuan Li;Minchen Li;Chenfanfu Jiang
在本文中，我们提出了能量一致非弹性（ECI），这是一种对有限应变弹塑性/粘弹性进行建模和离散的新公式，它与基于优化的时间积分器兼容。我们对通过一个增广应变能密度函数隐式积分塑性进行了深入分析。我们在关联的冯·米塞斯J2塑性、非关联的德鲁克 - 普拉格塑性以及有限应变粘弹性方面发展了ECI。我们在有限元方法（FEM）和物质点方法（MPM）上展示了所得的方案。结合一种定制的牛顿型优化积分方案，我们的方法能够以比现有方法更大的时间步长、更高的稳定性、更高的效率和更好的精度来模拟金属、沙子、雪和泡沫的刚性和大变形非弹性动力学。
In this paper, we propose Energetically Consistent Inelasticity (ECI), a new formulation for modeling and discretizing finite strain elastoplasticity/viscoelasticity in a way that is compatible with optimization-based time integrators. We provide an in-depth analysis for allowing plasticity to be implicitly integrated through an augmented strain energy density function. We develop ECI on the associative von-Mises J2 plasticity, the non-associative Drucker-Prager plasticity, and the finite strain viscoelasticity. We demonstrate the resulting scheme on both the Finite Element Method (FEM) and the Material Point Method (MPM). Combined with a custom Newton-type optimization integration scheme, our method enables simulating stiff and large-deformation inelastic dynamics of metal, sand, snow, and foam with larger time steps, improved stability, higher efficiency, and better accuracy than existing approaches.