Combined effects of axial load and temperature on finite deformation of incompressible thermo-hyperelastic cylinder

doi:10.1007/s10483-019-2466-8

Abstract

Abstract:

A finite deformation problem is examined for a cylinder composed of a class of incompressible thermo-hyperelastic Mooney-Rivlin materials under an equal axial load at its two fixed ends and a temperature field at its lateral boundary. Firstly, a thermomechanical coupling term is taken into account in the strain energy density function, and a governing equation of the problem is obtained. Secondly, an implicit analytical solution is derived by using the incompressibility and the boundary conditions. Significantly, numerical examples show that the middle portion of the cylinder undergoes almost a uniform radial deformation. However, the deformation near the two ends varies remarkably along the axial direction for relatively large axial loads. In addition, the rising temperature can increase the deformation of structures, and its influence is linear approximately. Specially, in the case of tensile load, the jump increase of the axial deformation may occur.

Key words: spherical isotropism, elasticity, equilibrium, body forces, incompressible thermo-hyperelastic cylinder, fixed end, tensile instability, axial load, implicit analytical solution

2010 MSC Number:

74B20

Jie XU, Xuegang YUAN, Hongwu ZHANG, Zhentao ZHAO, Wei ZHAO. Combined effects of axial load and temperature on finite deformation of incompressible thermo-hyperelastic cylinder. Applied Mathematics and Mechanics (English Edition), 2019, 40(4): 499-514.

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