Study of a rheological model with a friction term and a cubic term: deterministic and stochastic cases

DOI10.1016/J.EUROMECHSOL.2005.05.001zbMath1073.74006OpenAlexW2014924990MaRDI QIDQ2565715

Frédéric Bernardin, Jérôme Bastien, Claude-Henri Lamarque

Publication date: 28 September 2005

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2005.05.001

zbMATH Keywords

identificationexistencediscrete mechanical systemshysteresis cycles

Mathematics Subject Classification ID

Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

A simple non-linear model for internal friction in modified concrete ⋮ Multi-scale energy exchanges between an elasto-plastic oscillator and a light nonsmooth system with external pre-stress ⋮ Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions ⋮ Theoretical study of a chain sliding on a fixed support ⋮ Multivalued stochastic differential equations with non-Lipschitz coefficients

Cites Work

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• On approximation of solutions of multidimensional SDE's with reflecting boundary conditions
• Multivalued stochastic differential equations: Convergence of a numerical scheme
• Study of some rheological models with a finite number of degrees of freedom
• Study of an elastoplastic model with an infinite number of internal degrees of freedom
• An ill-posed mechanical problem with friction
• Schéma numérique pour des inclusions différentielles avec terme maximal monotone

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