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

We derive Griffith functionals in the framework of linearized elasticity fromnonlinear and frame indifferent energies in brittle fracture viaGamma-convergence. The convergence is given in terms of rescaled displacementfields measuring the distance of deformations from piecewise rigid motions. Theconfigurations of the limiting model consist of partitions of the material,corresponding piecewise rigid deformations and displacement fields which aredefined separately on each component of the cracked body. Apart from thelinearized Griffith energy the limiting functional comprises also thesegmentation energy which is necessary to disconnect the parts of the specimen.

A derivation of linearized Griffith energies from nonlinear models