English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

An important requirement in the standard finite element method (FEM) is thatall elements in the underlying mesh must be tangle-free i.e., the Jacobian mustbe positive throughout each element. To relax this requirement, anisoparametric tangled finite element method (i-TFEM) was recently proposed forlinear elasticity problems. It was demonstrated that i-TFEM leads to optimalconvergence even for severely tangled meshes. In this paper, i-TFEM isgeneralized to nonlinear elasticity. Specifically, a variational formulation isproposed that leads to local modification in the tangent stiffness matrixassociated with tangled elements, and an additional piece-wise compatibilityconstraint. i-TFEM reduces to standard FEM for tangle-free meshes. Theeffectiveness and convergence characteristics of i-TFEM are demonstratedthrough a series of numerical experiments, involving both compressible andin-compressible problems.

Isoparametric Tangled Finite Element Method for Nonlinear Elasticity