Multifield finite strain plasticity: theory and numerics

Lewandowski, K. , Barbera, D., Blackwell, P., Roohi, A. H., Athanasiadis, I., McBride, A. , Steinmann, P. , Pearce, C. and Kaczmarczyk, Ł. (2023) Multifield finite strain plasticity: theory and numerics. Computer Methods in Applied Mechanics and Engineering, 414, 116101. (doi: 10.1016/j.cma.2023.116101)

Abstract

Motivated by the inability of classical computational plasticity to fully exploit modern scientific computing, a multifield formulation for finite strain plasticity is presented. This avoids a local integration of the elastoplastic model. In the multifield approach, the balance of linear momentum, the flow relation and the Karush–Kuhn–Tucker constraints are collectively cast in a variational format. In addition to the deformation, both the plastic strain and the consistency parameter are global degrees of freedom in the resulting spatially discrete problem. The ensuing proliferation of global degrees of freedom in the multifield approach is addressed by exploiting the block sparse structure of the algebraic system together with a tailored block matrix solver which can utilise emerging hardware architectures. A series of numerical problems demonstrate the validity, capability and efficiency of the proposed approach.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Athanasiadis, Dr Ignatios and Barbera, Dr Daniele and Lewandowski, Dr Karol and McBride, Professor Andrew and Kaczmarczyk, Professor Lukasz and Steinmann, Professor Paul and Pearce, Professor Chris
• Authors: Lewandowski, K., Barbera, D., Blackwell, P., Roohi, A. H., Athanasiadis, I., McBride, A., Steinmann, P., Pearce, C., and Kaczmarczyk, Ł.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computer Methods in Applied Mechanics and Engineering
• Publisher: Elsevier
• ISSN: 0045-7825
• ISSN (Online): 1879-2138
• Published Online: 12 June 2023
• Copyright Holders: Copyright © 2023 The Authors
• First Published: First published in Computer Methods in Applied Mechanics and Engineering 414: 116101
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
307302		Predictive modelling for incremental cold flow forming	Christopher Pearce	Engineering and Physical Sciences Research Council (EPSRC)	EP/T008415/1	ENG - Infrastructure & Environment