The modified generalized Tresca yield condition with application to mode I perfectly plastic crack problems

Generalized Newton Methods for Crack Problems with Non-penetration Condition

A class of semismooth Newton methods for unilaterally constrained variational problems modelling cracks under a non-penetration condition are introduced and investigated. On the continuous level, a penalization technique is applied which allows to argue generalized differentiability of the nonlinear mapping associated to its first order optimality characterization. It is shown that the correspo...

Plastic Analysis of Mixed Mode Plane Stress Crack Problems

Two parameters are identified for characterizing the deformation in the plastic zone near the tip of a crack when mixed mode conditions prevail. Details of the near-tip stress and strain distributions are presented f or hardening materials in which a diffus e plastic zone occurs under plane stress conditions. For small scale yielding the two near-tip parameters are related to the two elastic s ...

On Plane Waves for Mode-I Crack Problem in Generalized Thermoelasticity

A general model of the equations of generalized thermoelasticity   for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is   homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...

Crack Tip Constraint for Anisotropic Sheet Metal Plate Subjected to Mode-I Fracture

On the ground of manufacturing, sheet metal parts play a key role as they cover about half of the production processes. Sheet metals are commonly obtained from rolling and forming processes which causes misalignment of micro structure resulting obvious anisotropic characteristics and micro cracks. Presence of micro cracks poses serious attention, when stresses at the tip reach to the critical v...

Determination of the Plastic Yield Condition as a Variational Problem.