New three‐dimensional finite elements with embedded strong discontinuities to model solids at failure | Zendy

Zhang Xiaoxuan | Zendy; Linder Christian | Zendy

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New three‐dimensional finite elements with embedded strong discontinuities to model solids at failure

Author(s) -

Zhang Xiaoxuan,

Linder Christian

Publication year - 2012

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201210057

Subject(s) - classification of discontinuities , interpolation (computer graphics) , displacement (psychology) , tracking (education) , class (philosophy) , work (physics) , development (topology) , algorithm , computer science , linear interpolation , structural engineering , mathematics , engineering , mathematical analysis , mechanical engineering , artificial intelligence , motion (physics) , psychology , pedagogy , polynomial , psychotherapist

This work focuses on the development of new finite elements which can capture strong discontinuities in three‐dimensional failure problems. The displacement jumps in the solid are approximated by a linear interpolation obtained by enforcing a new class of enhanced separation modes to exactly be satisfied by the formulation. Efforts are also put towards the development of a proper crack propagation tracking algorithm needed for the complicated crack surfaces appearing in realistic 3D failure simulations, based on a combination of the global tracking algorithm and the marching cubes algorithm. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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