Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects

TIAN Yan-ping; FU Yi-ming

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TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.

Citation:

TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.

Citation:

TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.

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Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects

College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China

Received Date: 2007-09-05
Rev Recd Date: 2008-06-17
Publish Date: 2008-07-15

Abstract

Abstract

Based on the elasto-plastic mechanics and continuum damage theory,a yield criterion which is related to the spherical tensor of stress was proposed to describe the mixed hardening of damaged orthotropic materials,and the dimensionless form of which is isomorphic with the Mises criterion for isotropic materials.Furthermore,the incremental elasto-plastic damage constitutive equations and damage evolution equations were established.Based on the classical nonlinear plate theory, the incremental nonlinear equilibrium equations of orthotropic thin plates including damage effect were obtained,and the equations were solved by the finite difference method and iteration method.In the numerical examples,the effects of damage evolution and initial deflection on the elasto-plastic postbuckling of orthotropic plates are discussed in detail.
- orthotropic plates,
- elasto-plastic damage,
- elasto-plastic postbuckling,
- mixed hardening,
- incremental theory

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References(17)

References

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