Well-posedness of a thermo-elasto-plastic problem with phase transitions in TRIP steels under mixed boundary conditions

DOI10.1002/ZAMM.201300287zbMath1335.74014OpenAlexW1521971890MaRDI QIDQ2803454

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Publication date: 4 May 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201300287

zbMATH Keywords

phase transitionsexistence and uniquenesscoupled partial differential equationsheat treatmentthermo-elasticitythermo-mechanicssteelTRIPmaterial behaviorcoupling of TRIP and plasticitydistortion engineering

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Kinematics of deformation (74A05) Phase transformations in solids (74N99) Applications of boundary value problems involving ordinary differential equations (34B60) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Existence and uniqueness of a problem in thermo-elasto-plasticity with phase transitions in TRIP steels under mixed boundary conditions

Cites Work

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• A constitutive model for the formation of martensite in austenitic steels under large strain plasticity
• Thermo-mechanically coupled model of diffusionless phase transformation in austenitic steel
• Macro modelling and homogenization for transformation induced plasticity of a low-alloy steel
• A theoretical and numerical approach to the plastic behaviour of steels during phase transformations. I: Derivation of general relations. II: Study of classical plasticity for ideal-plastic phases
• A mathematical model for induction hardening including mechanical effects
• Material behavior of steel - modeling of complex phenomena and thermodynamic consistency
• New investigations on transformation induced plasticity and its interaction with classical plasticity
• Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account
• Irreversible Phase Transitions in Steel
• Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
• Dimensional analysis of a model problem in thermoelasto-plasticity for cylindrical bodies under heating and cooling
• An analysis of phase transition models
• A mathematical model for the phase transitions in eutectoid carbon steel
• A thermoelastic contact problem with a phase transition
• Nonlinear problems in inelastic deformation theory

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