Modeling plasticity problems is particularly relevant in nonlinear solid mechanics since plasticity can have a major influence on the behavior of a mechanical structure. One difficulty is that the plastic deformations are generally assumed to be incompressible, leading to volume-locking problems if (low-order) H1 -conforming finite elements are used. Mixed methods avoid these problems, but need additional globally coupled unknowns to enforce the incompressibility of the plastic deformations.

Plasticity / Cicuttin, M.; Ern, A.; Pignet, N. (SPRINGERBRIEFS IN MATHEMATICS). - In: Hybrid High-Order Methods. A Primer with Applications to Solid Mechanics[s.l] : Springer Science and Business Media B.V., 2021. - ISBN 978-3-030-81476-2. - pp. 97-107 [10.1007/978-3-030-81477-9_7]

Plasticity

Cicuttin M.;
2021

Abstract

Modeling plasticity problems is particularly relevant in nonlinear solid mechanics since plasticity can have a major influence on the behavior of a mechanical structure. One difficulty is that the plastic deformations are generally assumed to be incompressible, leading to volume-locking problems if (low-order) H1 -conforming finite elements are used. Mixed methods avoid these problems, but need additional globally coupled unknowns to enforce the incompressibility of the plastic deformations.
2021
978-3-030-81476-2
978-3-030-81477-9
Hybrid High-Order Methods. A Primer with Applications to Solid Mechanics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2979186