论文标题
一种简单的历史依赖性的重新捕捉技术，以增加弹性表面变形中有限元模型稳定性
A simple history dependent remeshing technique to increase finite element model stability in elastic surface deformations
论文作者
论文摘要
在本文中，我们介绍并验证一种简单的自适应表面复杂技术，以在弹性表面变形的有限元模拟中将相关变量从旧的扭曲网格转移到新的网格。该技术使我们能够减少因网格失真过多而产生的错误，同时保留有关网格初始配置和历史依赖变量的信息。此处介绍的转移技术通过考虑旧网格的元素和及时向后投射的元素所产生的失真来构建新网格的初始配置。使用这种新的初始配置，可以轻松计算新网格的压力和压力。在提出了重建初始配置的必要步骤之后，我们表明这种相对简单的传输技术增加了有限元模拟的稳定性，并减少了整个域的空间误差和应变误差。本文介绍的新型转移技术易于实施，并提供了一种简单的策略，以增加对经历大变形的模拟的稳定性。
In this paper, we present and validate a simple adaptive surface remeshing technique to transfer history dependent variables from an old distorting mesh to a new mesh during finite element simulations of elastic surface deformation. This technique allows us to reduce the error arising from excessive mesh distortion whilst preserving information about the initial configuration of the mesh and the history dependent variables. The transfer technique presented here constructs the initial configuration of the new mesh by considering the distortion incurred by the elements of the old mesh and projecting backward in time. Using this new initial configuration, the stress and strain over the new mesh can be easily calculated. After presenting the necessary steps to reconstruct the initial configuration, we show that this relatively simple transfer technique adds stability to finite element simulations and reduces the spatial error and the strain error across the domain. The novel transfer technique presented in this paper is easy to implement and provides a simple strategy to add stability to simulations undergoing large deformations.
