Microstructure models for composites with imperfect interface via the periodic unfolding method

被引:4
|
作者
Ene, Horia [1 ]
Timofte, Claudia [2 ]
机构
[1] Acad Romana, Inst Math, RO-70700 Bucharest, Romania
[2] Univ Bucharest, Fac Phys, Bucharest, Romania
关键词
homogenization; linear elasticity; imperfect contact; the periodic unfolding method; HOMOGENIZATION; ELASTICITY; BEHAVIOR; CONTACT; DOMAINS;
D O I
10.3233/ASY-141239
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the periodic unfolding method, we shall analyze the asymptotic behavior of the solution of a system of coupled partial differential equations appearing in the modeling of an elasticity problem in a periodic structure formed by two interwoven and connected components with imperfect contact at the interface. Our setting proves to be relevant for analyzing contact problems for multiphase composites with imperfect interfaces.
引用
收藏
页码:111 / 122
页数:12
相关论文
共 50 条
  • [21] Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method
    Aiyappan, Srinivasan
    Cardone, Giuseppe
    Perugia, Carmen
    Prakash, Ravi
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
  • [22] PERIODIC CONTROLS IN AN OSCILLATING DOMAIN: CONTROLS VIA UNFOLDING AND HOMOGENIZATION
    Nandakumaran, A. K.
    Prakash, Ravi
    Sardar, Bidhan Chandra
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (05) : 3245 - 3269
  • [23] THE PERIODIC UNFOLDING METHOD IN DOMAINS WITH HOLES
    Cioranescu, D.
    Damlamian, A.
    Donato, P.
    Griso, G.
    Zaki, R.
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (02) : 718 - 760
  • [24] Connections between different models describing imperfect interfaces in periodic fiber-reinforced composites
    Sevostianov, I.
    Rodriguez-Ramos, R.
    Guinovart-Diaz, R.
    Bravo-Castillero, J.
    Sabina, F. J.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2012, 49 (13) : 1518 - 1525
  • [25] Homogenization via unfolding in periodic layer with contact
    Griso, Georges
    Migunova, Anastasia
    Orlik, Julia
    ASYMPTOTIC ANALYSIS, 2016, 99 (1-2) : 23 - 52
  • [26] Homogenization and correctors for linear stochastic equations via the periodic unfolding methods
    Mohammed, Mogtaba
    STOCHASTICS AND DYNAMICS, 2019, 19 (05)
  • [27] HOMOGENIZATION OF A NON-PERIODIC OSCILLATING BOUNDARY VIA PERIODIC UNFOLDING
    Aiyappan, S.
    Pettersson, K.
    Sufian, A.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (01): : 31 - 47
  • [28] Determination of the effective thermal conductivity of composites under the influence of an imperfect interface using a variational asymptotic-based method
    Ali, N. Ahamed
    Pitchai, Pandi
    Guruprasad, P. J.
    ARCHIVE OF APPLIED MECHANICS, 2024, 94 (12) : 3597 - 3624
  • [29] Interface potential in composites with general imperfect transmission conditions
    M. Amar
    D. Andreucci
    C. Timofte
    Zeitschrift für angewandte Mathematik und Physik, 2023, 74
  • [30] The periodic unfolding method for the heat equation in perforated domains
    DONATO Patrizia
    YANG ZhanYing
    Science China(Mathematics), 2016, 59 (05) : 891 - 906