Existence for dynamic contact of a stochastic viscoelastic Gao beam

DOI10.1016/j.nonrwa.2014.09.010zbMath1326.74099OpenAlexW1976250455MaRDI QIDQ475038

Meir Shillor, Ji Li, Kenneth L. jun. Kuttler

Publication date: 25 November 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.09.010

zbMATH Keywords

strong solutionsstochastic partial differential equationsIto formulanonlinear Gao beamstochastic contact condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35)

Related Items (7)

Exact solution of a thick beam on Pasternak subsoil in finite element calculations ⋮ Modeling, analysis and simulations of a dynamic thermoviscoelastic rod-beam system ⋮ Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation ⋮ An extended 2D Gao beam model ⋮ Dynamic contact problem with moderate displacement and time‐dependent normal ⋮ Dynamic frictional thermoviscoelastic Gao beams ⋮ Vibrations of a Gao beam subjected to a moving mass

Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory
• Analysis and simulations of a nonlinear elastic dynamic beam
• Duality principles in nonconvex systems. Theory, methods and applications
• Vibrations of a nonlinear dynamic beam between two stops
• A concise course on stochastic partial differential equations
• Generalized stochastic evolution equations
• Equations stochastiques du type Navier-Stokes
• Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
• Quasistatic viscoelastic contact with friction and wear diffusion
• Stochastic Equations in Infinite Dimensions

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