Elasto-plastic postbuckling of damaged orthotropic plates

Abstract

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

Postbuckling response of composite laminated plates with evolving damage

“…The CDM approach was implemented in the finite element model based on the first-order (Robbins et al., 2005a) and layerwise (Robbins et al., 2005b) shear deformation theories to investigate the static response of laminated plates. The elasto-plastic postbuckling response of orthotropic plates is studied by Tian and Fu (2008) using classical plate theory and continuum damage based on damage flow rule. They used stress tensor as the conjugate force to damage, which is thermodynamically inconsistent (Hayakawa et al., 1998).…”

Stress field of orthotropic cylinder subjected to axial compression

“…Analytical expressions for displacement and stresses were obtained. Based on the elasto-plastic mechanics and the continuum damage theory, Tian and Fu [5] proposed a yield criterion that relates to the spherical tensor of stress and discussed an elastoplastic buckling problem of an orthotropic thin plate. Jeffery et al [6] simulated biological soft tissue by the orthotropic hyper-elastic constitutive law.…”