Title: Non-convex Rate Dependent Strain Gradient Crystal Plasticity and Deformation Patterning
Citation: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES vol. 49 no. 18 p. 2625-2636
Publication Year: 2012
JRC N°: JRC72205
ISSN: 0020-7683
URI: http://www.elsevier.com/locate/ijsolstr
DOI: 10.1016/j.ijsolstr.2012.05.029
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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