The effective approach to the inhomogeneous media dynamics modeling

被引:0
作者
Kalinchuk, V. V. [1 ]
Belyankova, T. I. [1 ]
Tosecky, A. [1 ]
机构
[1] Russian Acad Sci, South Ctr, Rostov Na Donu, Russia
来源
Structural Dynamics - EURODYN 2005, Vols 1-3 | 2005年
关键词
D O I
暂无
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The problem of mathematical modeling of dynamic processes in media with properties continuously varying on depth was considered repeatedly. When studying a contact problem for an inhomogeneous layer on depth the point-to-point scheme of numerical construction of the medium Green function has been offered and incarnated (Anan'ev et al. 1983). This approach is based on reduction of the boundary problem to system of Cauchy initial problems concerning medium point displacement and their derivatives. The assumption of sufficient smoothness of the functions describing the law of variation of medium mechanical parameters was essential. Such approach has been used in (Kalinchuk et al. 1989, Kalinchuk and Belyankova 2002) when researching on the dynamics of various types of inhomogeneous medium. In the present work another approach is offered. It is based on the use of medium point stresses as the natural combination of medium point displacement derivatives instead of the derivatives themselves. This allows essential expanding a class of functions describing the law of variation of mechanical parameters of the inhomogeneous medium, in particular, to considering disconnected functions (stratified media).
引用
收藏
页码:2199 / 2204
页数:6
相关论文
共 7 条
  • [1] ANANEV IV, 1983, PMM-J APPL MATH MEC+, V47, P408, DOI 10.1016/0021-8928(83)90071-0
  • [2] Babeshko V. A., 1984, GEN FACTORIZATION ME
  • [3] On the solution to a class of the mixed problems for a layered half-space
    Babeshko, VA
    Belyankova, TI
    Kalinchuk, VV
    [J]. DOKLADY PHYSICS, 2001, 46 (10) : 732 - 735
  • [4] Belyankova T. I., 1998, Mechanics of Solids, V33, P76
  • [5] Kalinchuk V. V., 2002, Dynamic Contact Problems for Prestressed Bodies
  • [6] KALINCHUK VV, 1989, PMM-J APPL MATH MEC+, V53, P235
  • [7] KALINCHUK VV, 2002, STRUCT DYN EURODYN20, V2, P1309