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 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第7期883-894,共12页应用数学和力学（英文版）

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)

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.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.

关 键 词：rubberlike elasticity strain limit strain-stiffening effect energy bound uniaxial data multi-axial potential 

分 类 号：O343[理学—固体力学] TU452[理学—力学]