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|Title:||Non-convex Rate Dependent Strain Gradient Crystal Plasticity and Deformation Patterning|
|Authors:||YALCINKAYA TUNCAY; BREKELMANS W.a.m.; GEERS M.g.d.|
|Citation:||INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES vol. 49 no. 18 p. 2625-2636|
|Publisher:||PERGAMON-ELSEVIER SCIENCE LTD|
|Type:||Articles in periodicals and books|
|Abstract:||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.|
|JRC Directorate:||Energy, Transport and Climate|
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