Investigation of strain localization in elastoplastic materials with transversely isotropic elasticity

Transversely isotropic materials are of primary interest in many engineering applications. In this paper, general description of the properties of strain localization is deduced for the elastoplastic materials with transversely isotropic elasticity which follow the non-associated plasticity and are subjected to tri-axial stress states. Then the explicit expressions for the direction of localized band and the corresponding hardening modulus at the onset of strain localization are obtained for plane strain condition. Furthermore, the effect of deviation from isotropic elasticity in the formulation of strain localization is discussed based on those yield criteria such as Tresca criterion and twin-shear criterion. In the end, the influences of yield criteria on the properties of strain localization are elucidated.