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

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2015-08-08

Author

Lancioni, Giovanni
Yalçınkaya, Tuncay
Cocks, Alan

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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.

Subject Keywords

General Engineering, General Physics and Astronomy, General Mathematics

URI

https://hdl.handle.net/11511/41013

Journal

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

DOI

https://doi.org/10.1098/rspa.2015.0275

Collections

Department of Aerospace Engineering, Article

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Citation Formats

G. Lancioni, T. Yalçınkaya, and A. Cocks, “Energy-based non-local plasticity models for deformation patterning, localization and fracture,” PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41013.