A CLASS OF 3D PROBLEMS FOR LAYERED PLATES

被引:0
|
作者
Aghalovyan, L. A. [1 ]
Tagvoryan, V. V. [1 ]
机构
[1] Natl Acad Sci, Inst Mech, Yerevan, Armenia
关键词
layered plate; incomplete contact; separation; nonclassical problem; asymptotic solution;
D O I
10.1007/s11029-019-9778-4
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A class of 3D problems of elasticity theory for a layered package of orthotropic plates, which, in particular, models the behavior of the lithospheric plates of Earth during the preearthquake stage, is considered. The case of separation between some layers of the package is explored. Using the asymptotic method for solving singularly perturbed differential equations, a solution of the internal 3D problem is found. The cases where the solution becomes mathematically exact are indicated, and exact solutions for a four-layer package of plates are given.
引用
收藏
页码:719 / 732
页数:14
相关论文
共 50 条
  • [1] A Class of 3D Problems for Layered Plates
    L. A. Aghalovyan
    V. V. Tagvoryan
    Mechanics of Composite Materials, 2019, 54 : 719 - 732
  • [2] Calculating 3D stresses in layered composite plates and shells
    K. Rohwer
    R. Rolfes
    Mechanics of Composite Materials, 1998, 34 : 355 - 362
  • [3] Calculating 3D stresses in layered composite plates and shells
    Rohwer, K
    Rolfes, R
    MECHANICS OF COMPOSITE MATERIALS, 1998, 34 (04) : 355 - 362
  • [4] Boundary element analysis of 3D crack problems in layered materials
    Xiao, Hongtian
    Yue, Zhongqi
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2003, 20 (06): : 721 - 724
  • [5] On Forced 3D Vibrations of Two Layered Plates under Periodic Tangential Impacts
    Aghalovyan, L. A.
    Aghalovyan, M. L.
    MECHANICS OF COMPOSITE MATERIALS, 2023, 59 (2) : 393 - 402
  • [6] On Forced 3D Vibrations of Two Layered Plates under Periodic Tangential Impacts
    L. A. Aghalovyan
    M. L. Aghalovyan
    Mechanics of Composite Materials, 2023, 59 : 393 - 402
  • [7] 3D elasticity solutions for equilibrium problems of transversely isotropic FGM plates with holes
    B. Yang
    W. Q. Chen
    H. J. Ding
    Acta Mechanica, 2015, 226 : 1571 - 1590
  • [8] 3D elasticity solutions for equilibrium problems of transversely isotropic FGM plates with holes
    Yang, B.
    Chen, W. Q.
    Ding, H. J.
    ACTA MECHANICA, 2015, 226 (05) : 1571 - 1590
  • [9] On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells
    Aghalovyan, Lenser A.
    SHELL AND MEMBRANE THEORIES IN MECHANICS AND BIOLOGY: FROM MACRO- TO NANOSCALE STRUCTURES, 2015, : 1 - 23
  • [10] Extending Layered Models to 3D Motion
    Lao, Dong
    Sundaramoorthi, Ganesh
    COMPUTER VISION - ECCV 2018, PT X, 2018, 11214 : 441 - 457