Variationally-based Quasicontinuum Method for Elasto-Plastic Lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00235104" target="_blank" >RIV/68407700:21110/15:00235104 - isvavai.cz</a>
Result on the web
<a href="http://congress.cimne.com/complas2015/admin/files/fileabstract/a886.pdf" target="_blank" >http://congress.cimne.com/complas2015/admin/files/fileabstract/a886.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Variationally-based Quasicontinuum Method for Elasto-Plastic Lattices
Original language description
In this contribution, the virtual-power-based QuasiContinuum (QC) method is reformulated from a variational point of view, by employing the energy-based variational framework for rate-independent processes. It is shown that the QC method with dissipativeinteractions can be expressed as a minimization problem of a properly built energy potential, providing solutions equivalent to those of the virtual-power-based QC formulation. The theoretical considerations are demonstrated on one simple example. For it we verify energy consistency, quantify relative errors in energies, and discuss errors in internal variables obtained for different meshes and two summation rules.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
JN - Civil engineering
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA14-00420S" target="_blank" >GA14-00420S: Quasicontinuum methods for discrete dissipative systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů