Original title: Numerical implementation of incremental minimization principle for materials with multiple rate-independent dissipative mechanisms
Authors: Frost, Miroslav ; Moskovka, Alexej ; Sedlák, Petr ; Valdman, Jan
Document type: Papers
Conference/Event: Computational mechanics 2023 /38./, Srní (CZ), 20231023
Year: 2023
Language: eng
Abstract: The incremental energy minimization approach is a compact variational formulation of the evolutionary boundary value problem for constitutive models of materials with a rate-independent response. Although it can be easily applied to many conventional models, its main advantages arise when applied to models with multiple strongly coupled dissipation mechanisms, where the direct construction of the coupled yield conditions and flow rules may be challenging. However, this usually requires a more complex numerical treatment of the resulting sequence of time-incremental boundary value problems resolved via the finite element method. This contribution presents, compares and discusses two genuine minimization approaches - the staggered solution procedure relying on alternating minimization and the monolithic approach employing global minimization - for an advanced constitutive model of shape memory alloys.
Keywords: constitutive modeling; numerical implementation; variational approach
Project no.: GA22-20181S (CEP), GF21-06569K (CEP)
Funding provider: GA ČR, GA ČR
Host item entry: Computational mechanics 2023. Proceedings of computational mechanics 2023, ISBN 978-80-261-1177-1

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://compmech.kme.zcu.cz/download/proceedings/CM2023_Conference_Proceedings.pdf
Original record: https://hdl.handle.net/11104/0349462

Permalink: http://www.nusl.cz/ntk/nusl-538540


The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers