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

doi:10.1007/s10483-015-1955-9

Abstract

Abstract: According to the well-known models for rubberlike elasticity with strainstiffening 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 uniaxial 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.

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

2010 MSC Number:

Lidan YU, Tianfu JIN, Zhengnan YIN, Heng XIAO. Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial data. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 883-894.

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