弹性表面变形下提高有限元模型稳定性的一种简单的历史相关网格重划技术
A simple history dependent remeshing technique to increase finite element model stability in elastic surface deformations
摘要：
在本文中，我们提出并验证了一个简单的自适应表面重新网格化技术转移历史相关变量从一个旧的扭曲网格到一个新的网格在弹性表面变形的有限元模拟。这种技术使我们能够减少所产生的错误过度网格失真，同时保留有关的初始配置的网格和历史因变量的信息。这里提出的转移技术构造的初始配置的新的网格，通过考虑所产生的变形的元素的旧的网格和投影向后的时间。使用这个新的初始配置，可以很容易地计算新网格上的应力和应变。在提出重建初始配置的必要步骤后，我们表明，这种相对简单的转移技术增加了稳定性的有限元模拟，并减少了空间误差和应变误差跨域。本文提出的新的转移技术是易于实现，并提供了一个简单的策略，以增加稳定性的模拟经历大变形。
英文摘要：
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.
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