Abstract

Because of extensive industrial applications of polymers, several continuum and material science studies have focused on the polymers' viscohyperelasticity characterization. Although finite element methods have powerful ability in simulating complex materials' mechanical behavior, involve high computational costs. Therefore in this article mechanical responses of polymeric viscohyperelastic materials are studied by examining simultaneous extension and torsion of a cylinder thorough proposing new semi-analytical solutions. A comparison between the results of this method and finite element ones reveals the efficiency of proposed solutions in viscohyperelastic materials' parameter calibration and geometrical parameters' change on time-dependent large deformations, under combined loading conditions.

摘要

由于聚合物的广泛工业应用，一些连续体和材料科学研究都集中在聚合物的粘超弹性表征上。虽然有限元方法在模拟复杂材料的力学行为方面具有强大的能力，但计算成本很高。因此，在本文中，通过检查圆柱体的同时拉伸和扭转，研究了聚合物粘超弹性材料的机械响应，并提出了新的半解析解。将该方法的结果与有限元方法的结果进行比较，揭示了在组合加载条件下，所提出的解决方案在粘超弹性材料参数校准和几何参数随时间相关的大变形变化方面的效率。