Non-isothermal cyclic fatigue in an oscillating elastoplastic beam with phase transition

被引:3
|
作者
Kopfova, Jana [1 ]
Sander, Petr [1 ,2 ]
机构
[1] Silesian Univ, Math Inst, Opava 74601, Czech Republic
[2] Acad Sci Czech Republic, Math Inst, CZ-11567 Prague 1, Czech Republic
关键词
Hysteresis; Prandtl-Ishlinskii operator; Plasticity; Fatigue; Phase transitions;
D O I
10.1016/j.physb.2013.09.037
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We propose a temperature dependent model for material fatigue accumulation, including phase transition in an oscillating elastoplastic beam. The full system of equations consists of the momentum and energy balance equations, equation for the phase transition, and an evolution equation for the Fatigue rate. The Fatigue rate is supposed to be proportional to the dissipation rate. Due to the phase transition, Fatigue rate can also decrease but only in the case of strong melting. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:31 / 33
页数:3
相关论文
共 50 条
  • [1] NON-ISOTHERMAL CYCLIC FATIGUE IN AN OSCILLATING ELASTOPLASTIC BEAM
    Eleuteri, Michela
    Kopfova, Jana
    Krejci, Pavel
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2973 - 2996
  • [2] FATIGUE AND PHASE TRANSITION IN AN OSCILLATING ELASTOPLASTIC BEAM
    Eleuteri, Michela
    Gavioli, Chiara
    Kopfova, Jana
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2020, 15
  • [3] On a new model for fatigue and phase transition in an oscillating elastoplastic plate
    Eleuteri, Michela
    Kopfova, Jana
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (05) : 1839 - 1874
  • [4] Elastoplastic analysis of non-isothermal consolidation
    Dept. of Mechanical Engineering, University of Petroleum, Beijing, China
    不详
    不详
    Int J Numer Anal Methods Geomech, 13 (1535-1557):
  • [5] An elastoplastic analysis of non-isothermal consolidation
    Zhang, H
    Bai, M
    Abousleiman, Y
    Roegiers, JC
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1999, 23 (13) : 1535 - 1557
  • [6] A NEW PHASE FIELD MODEL FOR MATERIAL FATIGUE IN AN OSCILLATING ELASTOPLASTIC BEAM
    Eleuteri, Michela
    Kopfova, Jana
    Krejci, Pavel
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (06) : 2465 - 2495
  • [7] PERIODIC SOLUTIONS FOR NON-ISOTHERMAL PHASE TRANSITION MODELS
    Kumazaki, Kota
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 891 - 902
  • [8] Non-isothermal phase transition models with Neumann boundary conditions
    Ito, A
    Kenmochi, N
    Kubo, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (7-8) : 977 - 996
  • [9] A Non-Isothermal Constitutive Model for Chemically Active Elastoplastic Rocks
    Roshan, Hamid
    Oeser, Markus
    ROCK MECHANICS AND ROCK ENGINEERING, 2012, 45 (03) : 361 - 374
  • [10] A Non-Isothermal Constitutive Model for Chemically Active Elastoplastic Rocks
    Hamid Roshan
    Markus Oeser
    Rock Mechanics and Rock Engineering, 2012, 45 : 361 - 374