Variationally-based Quasicontinuum Method for Elasto-Plastic Lattices

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

Variationally-based Quasicontinuum Method for Elasto-Plastic Lattices

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Variationally-based Quasicontinuum Method for Elasto-Plastic Lattices

Popis výsledku anglicky

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.

Druh

O - Ostatní výsledky

CEP obor

JN - Stavebnictví

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-00420S" target="_blank" >GA14-00420S: Kvazikontuální metody pro diskrétní disipativní soustavy</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů