Non-convex rate dependent strain gradient crystal plasticity and deformation patterning

Yalçinkaya T., Brekelmans W., Geers M.

International Journal of Solids and Structures, cilt.49, sa.18, ss.2625-2636, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 18
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.ijsolstr.2012.05.029
  • Dergi Adı: International Journal of Solids and Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2625-2636
  • Anahtar Kelimeler: Dislocation-microstructure, Patterning, Non-convexity, Strain gradient, Crystal plasticity, Localization, DISLOCATION-STRUCTURES, MICROSTRUCTURE EVOLUTION, TEM OBSERVATIONS, PATH CHANGES, ENERGY, MODEL, STEEL, EQUILIBRIUM, BEHAVIOR, STRESS
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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. © 2012 Elsevier Ltd. All rights reserved.