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Bounded elastic potentials for rubberlike materials with strain‐stiffening effects
Author(s) -
Jin Tianfu,
Yu Lidan,
Yin Zhengnan,
Xiao Heng
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400109
Subject(s) - stiffening , elastic energy , bounded function , elasticity (physics) , strain (injury) , materials science , strain energy , limit (mathematics) , shear (geology) , composite material , structural engineering , mechanics , mathematical analysis , mathematics , physics , finite element method , thermodynamics , engineering , medicine
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.