A convex modular modelling (CMM) framework for developing thermodynamically consistent constitutive models
Suryasentana, Stephen K. and Houlsby, Guy T. (2021) A convex modular modelling (CMM) framework for developing thermodynamically consistent constitutive models. Computers and Geotechnics. 104506. ISSN 0266-352X (https://doi.org/10.1016/j.compgeo.2021.104506)
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Abstract
This paper presents a theoretical framework termed the convex modular modelling (CMM) framework, which provides a convenient and expedient approach for constructing thermodynamically consistent constitutive models. This paper demonstrates how the CMM framework can be used to build increasingly complex constitutive models by mixing and matching re-usable components from a library of convex base functions in a systematic manner. It also describes the use of the modified LogSumExp (MLSE) function as a general and smooth approximation to the pointwise maximum function for any yield function (e.g. the Mohr-Coulomb/Tresca yield function). The MLSE function is then used to develop several new yield functions such as a convex and smooth approximation of the Matsuoka-Nakai yield function, a generalised polygonal yield function and a 'Reuleaux triangle'-shaped yield function. As CMM is simple to use, it potentially offers a more accessible path for constitutive modellers to take advantage of the hyperplasticity framework to develop robust constitutive models.
ORCID iDs
Suryasentana, Stephen K. ORCID: https://orcid.org/0000-0001-5460-5089 and Houlsby, Guy T.;-
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Item type: Article ID code: 78738 Dates: DateEvent16 November 2021Published16 November 2021Published Online10 October 2021AcceptedSubjects: Technology > Engineering (General). Civil engineering (General)
Science > Mathematics > Electronic computers. Computer scienceDepartment: Faculty of Engineering > Civil and Environmental Engineering Depositing user: Pure Administrator Date deposited: 30 Nov 2021 16:00 Last modified: 29 Aug 2024 00:57 URI: https://strathprints.strath.ac.uk/id/eprint/78738