Multi-axial strain-stiffening elastic potentials with energy bounds:explicit approach based on uniaxial data

作     者：Lidan YU Tianfu JIN Zhengnan YIN Heng XIAO 

作者机构：Shanghai Institute of Applied Mathematics and MechanicsShanghai University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2015年第36卷第7期

页      面：883-894页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.11372172) the Start-up Fund from the 211-Project of the Education Committee of China(No.S.15-B002-09-032) the Research Innovation Fund of Shanghai University(No.S.10-0401-12-001) 

主　　题：rubberlike elasticity strain limit strain-stiffening effect energy bound,uniaxial data multi-axial potential 

摘      要：According to the well-known models for rubberlike elasticity with strain- stii^ening effects, the unbounded strain energy is generated with the unlimitedly growing stress when the stretch approaches certain limits. Toward a solution to this issue, an explicit approach is proposed to derive the multi-axial elastic potentials directly from the uniaxial potentials. Then, a new multi-axial potential is presented to characterize the strain-stiffening effect by prescribing suitable forms of uniaxia] potentials so that the strain energy is always bounded as the stress grows to infinity. Numerical examples show good agreement with a number of test data.