eXtended variational quasicontinuum methodology for lattice networks with damage and crack propagation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00312057" target="_blank" >RIV/68407700:21110/17:00312057 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/17:00475349

Result on the web

<a href="http://arxiv.org/abs/1612.03876" target="_blank" >http://arxiv.org/abs/1612.03876</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cma.2017.03.042" target="_blank" >10.1016/j.cma.2017.03.042</a>

Result language

angličtina

Original language name

eXtended variational quasicontinuum methodology for lattice networks with damage and crack propagation

Original language description

Lattice networks with dissipative interactions are often employed to analyse materials with discrete micro- or meso-structures, or for a description of heterogeneous materials which can be modelled discretely. They are, however, computationally prohibitive for engineering-scale applications. The (variational) QuasiContinuum (QC) method is a concurrent multiscale approach that reduces their computational cost by fully resolving the (dissipative) lattice network in small regions of interest while coarsening elsewhere. When applied to damageable lattices, moving crack tips can be captured by adaptive mesh refinement schemes, whereas fully -resolved trails in crack wakes can be removed by mesh coarsening. In order to address crack propagation efficiently and accurately, we develop in this contribution the necessary generalizations of the variational QC methodology. First, a suitable definition of crack paths in discrete systems is introduced, which allows for their geometrical representation in terms of the signed distance function. Second, special function enrichments based on the partition of unity concept are adopted, in order to capture kinematics in the wakes of crack tips. Third, a summation rule that reflects the adopted enrichment functions with sufficient degree of accuracy is developed. Finally, as our standpoint is variational, we discuss implications of the mesh refinement and coarsening from an energy-consistency point of view. All theoretical considerations are demonstrated using two numerical examples for which the resulting reaction forces, energy evolutions, and crack paths are compared to those of the direct numerical simulations.

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

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

e-ISSN

1879-2138

Volume of the periodical

320

Issue of the periodical within the volume

June

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

24

Pages from-to

769-792

UT code for WoS article

000402212200030

EID of the result in the Scopus database

2-s2.0-85018567758