OBTAINING MULTI-AXIAL ELASTIC POTENTIALS FOR RUBBER-LIKE MATERIALS VIA AN EXPLICIT,EXACT APPROACH BASED ON SPLINE INTERPOLATION

作     者：Hao Li Yuyu Zhang Xiaoming Wang Zhengnan Yin Heng Xiao 

作者机构：Shanghai Institute of Applied Mathematics and Mechanics & Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai University 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2014年第27卷第5期

页      面：441-453页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

基　　金：supported by the fund for innovative research from Shanghai University(No.A10-0401-12-001) the startup fund from the 211-project of the Education Committee of China through Shanghai University(No.A15-B002-09-032) 

主　　题：elastomers elastic potentials logarithmic strain invariants benchmark tests splineinterpolation exact matching 

摘      要：An explicit, exact approach is proposed to obtain multi-axial elastic potentials for isotropic rubber-like materials undergoing large incompressible deformations. By means of two direct, explicit procedures, this approach reduces the problem of determining multi-axial poten- tials to that of determining one-dimensional elastic potentials. To this end, two one-dimensional potentials for uniaxial case and simple shear case are respectively determined via spline inter- polation and, then, the two potentials are extended to generate a multi-axial elastic potential using a novel method based on certain logarithmic invariants. Eventually, each of the multi-axial potentials will exactly match the finite strain data from four benchmark tests.