Truncation and indirect incremental methods in Hencky’s perfect plasticity

0482479 - ÚGN 2018 RIV SG eng C - Conference Paper (international conference)
Sysala, Stanislav - Haslinger, Jaroslav
Truncation and indirect incremental methods in Hencky’s perfect plasticity.
Mathematical Modelling in Solid Mechanics. Singapore: Springer Verlag, 2017 - (Sofonea, M.; dell'Isola, F.; Steigmann, D.), s. 265-284. Book series, 69. ISBN 978-981103763-4. ISSN 1869-8433.
[International conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016. Perpignan (FR), 30.05.2016-03.06.2016]
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : computable bounds * deformation theory of perfect plasticity * von Mises and Drucker–Prager yield criteria
OECD category: Applied mathematics
https://link.springer.com/chapter/10.1007/978-981-10-3764-1_17#citeas

The contribution is concerned with reliable and computable bounds of the limit (or safety) load in the deformation theory of perfect plasticity. We consider truncation and indirect incremental methods of limit analysis which can be interpreted as penalization techniques. Further, convergence for higher order finite elements is shown. The efficiency of the proposed approaches is illustrated on numerical experiments with the von Mises and Drucker–Prager yield criteria.
Permanent Link: http://hdl.handle.net/11104/0277911