A multiscale method for linear elasticity reducing Poisson locking
2016 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 310, 156-171 p.Article in journal (Refereed) Published
We propose a generalized finite element method for linear elasticity equations with highly varying and oscillating coefficients. The method is formulated in the framework of localized orthogonal decomposition techniques introduced by Målqvist and Peterseim (2014). Assuming only L∞-coefficients we prove linear convergence in the H1-norm, also for materials with large Lamé parameter λ. The theoretical a priori error estimate is confirmed by numerical examples.
Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 310, 156-171 p.
Generalized finite element, Linear elasticity, LOD, Multiscale, Poisson locking, Elasticity, Locks (fasteners), Generalized finite element methods, Generalized finite elements, Linear elasticity equations, Orthogonal decomposition techniques, Priori error estimate, Finite element method
IdentifiersURN: urn:nbn:se:kth:diva-195298DOI: 10.1016/j.cma.2016.06.034ISI: 000384859400008ScopusID: 2-s2.0-84979601507OAI: oai:DiVA.org:kth-195298DiVA: diva2:1045809
QC 201611102016-11-102016-11-022016-11-11Bibliographically approved