Non-convex Rate Dependent Strain Gradient Crystal Plasticity and Deformation Patterning

A rate dependent strain gradient crystal plasticity framework is presented where the displacement and the plastic slip fields are considered as primary variables. These coupled fields are determined on a global level by solving simultaneously the linear momentum balance and the slip evolution equation, which is derived in a thermodynamically consistent manner. The formulation is based on the 1D theory presented in Yalcinkaya et al. (2011), where the patterning of plastic slip is obtained in a system with non-convex energetic hardening through a phenomenological double-well plastic potential. In the current multi-dimensional multi-slip analysis the non-convexity enters the framework through a latent hardening potential presented in Ortiz and Repettto (1999) where the microstructure evolution is obtained explicitly via a lamination procedure. The current study aims the implicit evolution of deformation patterns due to the incorporated physically based non-convex potential.

YALCINKAYA Tuncay;  BREKELMANS W.A.M.;  GEERS M.G.D.; 

2012-07-25

PERGAMON-ELSEVIER SCIENCE LTD

JRC72205

0020-7683,   

http://www.elsevier.com/locate/ijsolstr,    https://publications.jrc.ec.europa.eu/repository/handle/JRC72205,   

10.1016/j.ijsolstr.2012.05.029,