|Title of host publication||Encyclopedia of Computational Mechanics Second Edition|
|Editors||Erwin Stein, René de Borst, Thomas Hughes|
|Place of Publication||Hoboken|
|Number of pages||34|
|Publication status||Published - 2017|
This article focuses on computational multiscale methods for the mechanical response of nonlinear heterogeneous materials. After a short historical note, a brief overview is given of some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.