Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

DOI10.17516/1997-1397-2021-14-6-756-767OpenAlexW3216296797MaRDI QIDQ5071419

Pavel Krejči, Ján Eliaš, Victor A. Kovtunenko, Lenka Siváková, Erich Bauer, Giselle Antunes Monteiro

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu961

zbMATH Keywords

hysteresismodelingwell-posednessplasticitynumerical simulationhypoplasticityrate-independent systemcyclic behaviour

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Plastic materials, materials of stress-rate and internal-variable type (74Cxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (1)

Stress-controlled ratchetting in hypoplasticity: a study of periodically proportional loading cycles

Cites Work

• Mathematical modeling in mechanics of granular materials. With a foreword by Holm, Altenbach
• An outline of hypoplasticity
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• Maximum norm well-posedness of nonlinear kinmatic hardening models
• On proportional deformation paths in hypoplasticity
• On a class of non-dissipative materials that are not hyperelastic
• Wellposedness of kinematic hardening models in elastoplasticity
• Mechanics of Solid Materials
• Modified Model for Proportional Loading and Unloading of Hypoplastic Materials
• Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks
• Remarks on hypo-elasticity
• Recent Developments in the Mathematical Theory of Plasticity
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