Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F22%3A00566662" target="_blank" >RIV/61388998:_____/22:00566662 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/22:00566662 RIV/68407700:21240/22:00364942
Result on the web
<a href="https://mdpi-res.com/d_attachment/mathematics/mathematics-10-04412/article_deploy/mathematics-10-04412.pdf?version=1669191552" target="_blank" >https://mdpi-res.com/d_attachment/mathematics/mathematics-10-04412/article_deploy/mathematics-10-04412.pdf?version=1669191552</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math10234412" target="_blank" >10.3390/math10234412</a>
Alternative languages
Result language
angličtina
Original language name
Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys
Original language description
The incremental energy minimization principle provides a compact variational formulation for evolutionary boundary problems based on constitutive models of rate-independent dissipative solids. In this work, we develop and implement a versatile computational tool for the resolution of these problems via the finite element method (FEM). The implementation is coded in the MATLAB programming language and benefits from vector operations, allowing all local energy contributions to be evaluated over all degrees of freedom at once. The monolithic solution scheme combined with gradient-based optimization methods is applied to the inherently nonlinear, non-smooth convex minimization problem. An advanced constitutive model for shape memory alloys, which features a strongly coupled rate-independent dissipation function and several constraints on internal variables, is implemented as a benchmark example. Numerical simulations demonstrate the capabilities of the computational tool, which is suited for the rapid development and testing of advanced constitutive laws of rate-independent dissipative solids.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
2227-7390
Volume of the periodical
10
Issue of the periodical within the volume
23
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
4412
UT code for WoS article
000896227200001
EID of the result in the Scopus database
2-s2.0-85143582510