Non-isothermal cyclic fatigue in an oscillating elastoplastic beam

DOI10.3934/CPAA.2013.12.2973zbMath1264.74244OpenAlexW2322918964MaRDI QIDQ1951465

Michela Eleuteri, Jana Kopfová, Pavel Krejči

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.2973

zbMATH Keywords

blow-upelastoplastic beammaterial fatiguePrandtl-Ishlinskii operatorthermo-elasto-plasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Anelastic fracture and damage (74R20) Problems involving hysteresis in solids (74N30)

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Elasto-plastic contact problems with heat exchange and fatigue ⋮ Fatigue accumulation in a thermo-visco-elastoplastic plate ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ Thermodynamical consistency -- a mystery or? ⋮ On a new model for fatigue and phase transition in an oscillating elastoplastic plate ⋮ Fatigue and phase transition in an oscillating elastoplastic beam ⋮ A new phase field model for material fatigue in an oscillating elastoplastic beam ⋮ On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

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