Bounded elastic potentials for rubberlike materials with strain‐stiffening effects. Issue 11 (25th August 2014)

• Record Type: Journal Article
• Authors: Jin, Tianfu; Yu, Lidan; Yin, Zhengnan; Xiao, Heng
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 95:Issue 11(2015)
• Page Start: 1230
• Page End: 1242
• Publication Date: 2014-08-25
• Subjects: Rubberlike materials -- large strain -- elastic potentials -- strain‐stiffening effect -- bounded strain energy -- explicit approach; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201400109
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract : Well‐known models for rubberlike elasticity with strain‐stiffening effects provide good predictions for unlimitedly, rapidly growing stress in a process of approaching a very large strain limit. According to such models, however, unbounded elastic strain energy would be generated as the strain limit is approached. To resolve this issue, a new, explicit approach is proposed to obtain multi‐axial elastic potentials based on uniaxial data and shear data. Then, a strain‐stiffening elastic potential is given to always yield bounded strain energy. Good agreement is achieved with a number of test data. Abstract : Well‐known models for rubberlike elasticity with strain‐stiffening effects provide good predictions for unlimitedly, rapidly growing stress in a process of approaching a very large strain limit. According to such models, however, unbounded elastic strain energy would be generated as the strain limit is approached. To resolve this issue, a new, explicit approach is proposed to obtain multi‐axial elastic potentials based on uniaxial data and shear data. Then, a strain‐stiffening elastic potential is given to always yield bounded strain energy. Good agreement is achieved with a number of test data.