Abstract

A novel analytical approach to investigate the finite bending of hyperelastic laminated beams is presented. Two different nonlinear material models are taken into account, which are the compressible Mooney-Rivlin for rubberlike mediums and the Saint Venant-Kirchhoff for less deformable materials. The anticlastic bending is included in the formulation and the analytical expression of the transverse radius of curvature is presented. The stress analysis is performed in each layer separately, by considering the actual stored energy function of the constituents, in both Lagrangian and Eulerian frameworks. The finite bending of a sandwich beam is investigated in terms of stresses and stretches.

摘要

提出了一种新的分析方法来研究超弹性层合梁的有限弯曲。考虑了两种不同的非线性材料模型，即用于橡胶状介质的可压缩 Mooney-Rivlin 和用于不易变形材料的 Saint Venant-Kirchhoff。公式中包含了抗塑性弯曲，并给出了横向曲率半径的解析表达式。在拉格朗日和欧拉框架中，通过考虑成分的实际存储能量函数，分别在每一层中执行应力分析。在应力和拉伸方面研究了夹层梁的有限弯曲。