An adaptive variational Quasicontinuum methodology for lattice networks with localized damage

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00313822" target="_blank" >RIV/68407700:21110/17:00313822 - isvavai.cz</a>

Result on the web

<a href="http://arxiv.org/abs/1604.04754" target="_blank" >http://arxiv.org/abs/1604.04754</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5518" target="_blank" >10.1002/nme.5518</a>

Result language

angličtina

Original language name

An adaptive variational Quasicontinuum methodology for lattice networks with localized damage

Original language description

Lattice networks with dissipative interactions can be used to describe the mechanics of discrete mesostructures of materials such as 3D-printed structures and foams. This contribution deals with the crack initiation and propagation in such materials and focuses on an adaptive multiscale approach that captures the spatially evolving fracture. Lattice networks naturally incorporate non-locality, large deformations and dissipative mechanisms taking place inside fracture zones. Because the physically relevant length scales are significantly larger than those of individual interactions, discrete models are computationally expensive. The Quasicontinuum (QC) method is a multiscale approach specifically constructed for discrete models. This method reduces the computational cost by fully resolving the underlying lattice only in regions of interest, while coarsening elsewhere. In this contribution, the (variational) QC is applied to damageable lattices for engineering-scale predictions. To deal with the spatially evolving fracture zone, an adaptive scheme is proposed. Implications induced by the adaptive procedure are discussed from the energy-consistency point of view, and theoretical considerations are demonstrated on two examples. The first one serves as a proof of concept, illustrates the consistency of the adaptive schemes and presents errors in energies. The second one demonstrates the performance of the adaptive QC scheme for a more complex problem.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20302 - Applied mechanics

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)

Publication year

2017

Confidentiality

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

Name of the periodical

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

1097-0207

Volume of the periodical

112

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

174-200

UT code for WoS article

000410680100004

EID of the result in the Scopus database

2-s2.0-85016585949