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/

Zendy Plus

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

Zendy Tools

Zendy Open

An extension of the two-step staggered time discretization of linearelastodynamics in stress-velocity form to systems involving internal variablessubjected to a possibly non-linear dissipative evolution is proposed. Theoriginal scheme is thus enhanced by another step for the internal variableswhich, in general, is implicit, although even this step might be explicit if nospatial gradients of the internal variables are involved. Using an abstractBanach-space formulation, a-priori estimates and convergence are proved under aCFL condition. The developed three-step scheme finds applications in variousproblems of continuum mechanics at small strain. Here, we consider inparticular plasticity, viscoelasticity (creep), diffusion in poroelastic media,and damage.

Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables