Energy-based non-local plasticity models for deformation patterning, localization and fracture


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Lancioni G., YALÇINKAYA T. , Cocks A.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, cilt.471, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 471 Konu: 2180
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1098/rspa.2015.0275
  • Dergi Adı: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Özet

This paper analyses the effect of the form of the plastic energy potential on the (heterogeneous) distribution of the deformation field in a simple setting where the key physical aspects of the phenomenon could easily be extracted. This phenomenon is addressed through two different (rate-dependent and rate-independent) non-local plasticity models, by numerically solving two distinct one-dimensional problems, where the plastic energy potential has different non-convex contributions leading to patterning of the deformation field in a shear problem, and localization, resulting ultimately in fracture, in a tensile problem. Analytical and numerical solutions provided by the two models are analysed, and they are compared with experimental observations for certain cases.