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A nonlinear plane strain finite element analysis for multilayer elastomeric bearings
Applied Mathematics and Computation ( IF 3.5 ) Pub Date : 2021-04-06 , DOI: 10.1016/j.amc.2021.126218
Yassin Masrar , Mohamed Ettaouil

The purpose of this paper is the prediction of the behaviour of multilayer elastomeric bearings by the finite element analysis. First, the finite element formulation of equilibrium equations of incompressible elasticity problem is presented. This approach is based on the modified potential energy taking into account the incompressibility. The linearized system obtained is solved by the Newton–Raphson iterative method with the total lagrangian formulation. A large plane strain element is developed for the analysis of elastomeric materials under large strain deformation. This element is then integrated into our software. After validating the plane strain element using examples with known exact solutions, an industrial case study made of laminated (metal-rubber) elastomeric component is examined. The stress distribution study is limited to the elastomeric layers, possible sources of crack appearance.



中文翻译:

多层弹性轴承的非线性平面应变有限元分析

本文的目的是通过有限元分析预测多层弹性轴承的性能。首先,提出了不可压缩弹性问题平衡方程的有限元公式。该方法基于修改后的势能,同时考虑了不可压缩性。通过牛顿-拉夫森迭代法用总的拉格朗日公式求解得到的线性化系统。开发了一种大的平面应变元件,用于分析大应变变形下的弹性体材料。然后将此元素集成到我们的软件中。在使用已知精确解的示例验证了平面应变元件之后,我们对由层压(金属-橡胶)弹性体组件制成的工业案例进行了研究。

更新日期:2021-04-06
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