0475349 20240103214152.320170619235959.9 85018567758 000402212200030 10.1016/j.cma.2017.03.042 24 s. P cav_un_epca*02564420045-78253201 (2017)769-792Elsevier Lattice networks Quasicontinuum method Damage Extended finite element method Multiscale modelling Variational formulation cav_un_auth*0347118 34 Rokoš O. CZ K cav_un_auth*0347119 33 Peerlings R. H. J. NL S cav_un_auth*0357917 Zeman Jan Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/AS/zeman-0475349.pdf cav_un_auth*0331681 GF16-34894L GA ČR CZ 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. JJ 20000 20500 20501 2018 RVO:67985556 http://hdl.handle.net/11104/0272345 S 2 Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics 3+4 Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics 3+4 Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|MECHANICS|ENGINEERING.MULTIDISCIPLINARY 4.499 1.388 11.1 0.0347 1.622 26508 2.883 3.422 484 Q1 95.789 96.2 Q1* Q1* 2.29 Q1 98.544 2017 85018567758 SCOPUS PUBMED 000402212200030 WOS cav_un_epca*0256442 Computer Methods in Applied Mechanics and Engineering 0045-7825 1879-2138 Roč. 320 č. 1 2017 769 792 Elsevier