In this paper, one of the variants of the smoothed finite element method, α-FEM is adopted for hyperelastic material with large deformation and contact nonlinearity in two dimensions. The salient feature of the α-FEM is that it is stable and this is accomplished by using the scale factor α ∈ [0, 1] to combine the compatible finite element method and the node-based smoothed finite element method. The framework is implemented in the commercial software, Abaqus using the user element feature, UEL. The efficacy and robustness of the proposed work is demonstrated by several benchmark problems in both linear and nonlinear elasticity with and without contacts. The developed UEL and the associated files can be downloaded from https://github.com/nsundar/alphaFEM.

中文翻译：

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无摩擦接触和包括大变形的摩擦接触的α-有限元法

在本文中，平滑有限元方法的一种变体，α-FEM适用于具有大变形和二维接触非线性的超弹性材料。的显着特点α-FEM 是稳定的，这是通过使用比例因子来实现的α ∈ [0, 1]将兼容的有限元法和基于节点的平滑有限元法相结合。该框架是在商业软件 Abaqus 中使用用户元素功能 UEL 实现的。所提出的工作的有效性和稳健性通过在有和没有接触的线性和非线性弹性方面的几个基准问题得到证明。开发的 UEL 和相关文件可以从https://github.com/nsundar/alphaFEM.