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

doi:10.1007/s10483-019-2466-8

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (4): 499-514.doi: https://doi.org/10.1007/s10483-019-2466-8

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

Jie XU¹, Xuegang YUAN^1,2, Hongwu ZHANG¹, Zhentao ZHAO¹, Wei ZHAO²

1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, Liaoning Province, China;
2. School of Science, Dalian Minzu University, Dalian 116600, Liaoning Province, China

收稿日期:2018-04-26 修回日期:2018-08-04 出版日期:2019-04-01 发布日期:2019-04-01
通讯作者: Xuegang YUAN E-mail:yxg1971@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11672069, 11702059, 11232003, and 11672062), the Ph. D Programs Foundation of Ministry of Education of China (No. 20130041110050), the Natural Science Foundation of Liaoning Province of China (Nos. 20170540199 and 2014020137), and the Programme of Introducing Talents of Discipline to Universities (No. B08014)

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

Jie XU¹, Xuegang YUAN^1,2, Hongwu ZHANG¹, Zhentao ZHAO¹, Wei ZHAO²

1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, Liaoning Province, China;
2. School of Science, Dalian Minzu University, Dalian 116600, Liaoning Province, China

Received:2018-04-26 Revised:2018-08-04 Online:2019-04-01 Published:2019-04-01
Contact: Xuegang YUAN E-mail:yxg1971@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11672069, 11702059, 11232003, and 11672062), the Ph. D Programs Foundation of Ministry of Education of China (No. 20130041110050), the Natural Science Foundation of Liaoning Province of China (Nos. 20170540199 and 2014020137), and the Programme of Introducing Talents of Discipline to Universities (No. B08014)

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

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[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(4): 499-514.

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

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

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