Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (5): 550-558.doi: 10.3969/j.issn.1007-2861.2013.07.034

• Civil Engineering • Previous Articles     Next Articles

Elastic Bodies with Different Modules in Tension and Compression

ZHAO Hui-ling1, YE Zhi-ming1,2   

  1. 1. Department of Civil Engineering, Shanghai University, Shanghai 200072, China; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2013-05-29 Online:2014-10-30 Published:2014-10-30

Abstract: Elastic bodies having different modules in tension and compression exhibit nonlinear behaviors. The constitutive equations of an elastic body with different modules depend on the material itself, and also on the stress and strain state of each point in the body. Recent achievements of research on the constitutive equations are presented. Also discussed are the improvements in the finite element method (FEM) employed to solve different module problems. Analytical methods of the elastic body with different modules are introduced. Problems to be solved next are outlined.

Key words: analytical method, constitutive equation, different module, elasticity theory, finite element method (FEM)

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