A new phase field model for material fatigue in an oscillating elastoplastic beam

DOI10.3934/dcds.2015.35.2465zbMath1338.74095arXiv1312.2891OpenAlexW2963137472MaRDI QIDQ255623

Jana Kopfová, Michela Eleuteri, Pavel Krejči

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2891

zbMATH Keywords

phase transitionelastoplastic beammaterial fatiguePrandtl-Ishlinskii operatorthermo-elasto-plasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Anelastic fracture and damage (74R20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Problems involving hysteresis in solids (74N30) Equations with nonlinear hysteresis operators (47J40)

Related Items (8)

Elasto-plastic contact problems with heat exchange and fatigue ⋮ Realization of arbitrary hysteresis by a low-dimensional gradient flow ⋮ Dynamics of Discrete Time Systems with a Hysteresis Stop Operator ⋮ Analysis of an operator-differential model for magnetostrictive energy harvesting ⋮ On a new model for fatigue and phase transition in an oscillating elastoplastic plate ⋮ On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator ⋮ Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions ⋮ Fatigue and phase transition in an oscillating elastoplastic beam

Cites Work

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• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Mechanics of Solid Materials
• Elastic–ideally plastic beams and Prandtl–Ishlinskii hysteresis operators

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