Non-Linear Finite Element Analysis Using Strain-Space Plasticity Coupled With Damage

Abstract

The Thesis deals with Strain-Space Plasticity and its implementation in Nonlinear Finite Element frame-work coupled with damage. Conventional Stress-Space Plasticity, though very popular amongst commercial nonlinear FEM software package, has severe limitations especially in dealing with perfect-plasticity situations and also for softening behaviour. Strain-Space Plasticity, when fully evolved, has the potential to replace the Stress-space Plasticity. The thesis is a welcome addition in furthering the understanding of Strain-Space Plasticity and its illustration to analyze practical engineering problems. Continuum Damage Mechanics (CDM) is an evolving area of Solid Mechanics with great potential for application in failure and integrity analyses. Research activities have been initiated by several research groups world-wide, thus demonstrating its acceptance as an area of mechanics in its own right .This thesis further demonstrates coupling of Continuum Damage Mechanics with Strain-Space Plasticity. The thesis has been organized into 11 chapters with a good review of Plasticity (Stress-Space as well as Strain-Space), CDM, Stainless-steel Plasticity as well as Adhesive Plasticity. Main research contributions include: Formulation, FEM implementation and benchmarking of Strain Space Plasticity for Plane-Stress, Plane Strain, Axi-symmetric as well as 3-D case. Both isotropic and kinematic hardening models have been implemented. Further, these implementations have been extended by coupling with Damage. Special illustrations have been made to practical situations involving constitutive modeling of Stainless-steel and structural-adhesive.