On thin Timoshenko inclusions in elastic bodies with defects

被引：0
作者：
Alexander Khludnev
机构：
[1] Lavrentyev Institute of Hydrodynamics of RAS,
[2] and Novosibirsk State University,undefined
来源：
Archive of Applied Mechanics | 2019年 / 89卷
关键词：
Thin inclusion; Timoshenko beam; Defect; Crack; Delamination; Non-penetration boundary condition; Variational inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper concerns an analysis of equilibrium problems for elastic bodies with elastic Timoshenko inclusion in the presence of defects. Defects are characterized by a positive damage parameter. This parameter is responsible for a connection between defect faces. Asymptotic properties of solutions are investigated with respect to the damage parameters as well as with respect to a rigidity parameter of the inclusions. Limit models are investigated; in particular, different equivalent problem formulations are proposed.
引用
收藏
页码：1691 / 1704
页数：13
相关论文
共 45 条
  • [1] Almi S(2017)Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening ESAIM: COCV 23 791-826
  • [2] Dal Maso G(2013)Fracture models as gamma-limits of damage models Commun. Pure Appl. Anal. 12 1657-1686
  • [3] Iurlano F(2017)Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies Math. Mech. Solids 22 737-750
  • [4] Faella L(2014)Crack solutions and weight functions for plane problems in three-dimensional quasicrystals Arch. Appl. Mech. 84 1103-1115
  • [5] Khludnev AM(2006)Junction in a thin multidomain for a forth order problem Math. Models Methods Appl. Sci. 16 1887-1918
  • [6] Popova TS(2011)A model of joined beams as limit of a 2D plate J. Elast. 103 205-233
  • [7] Gao Y(2016)On delaminated thin Timoshenko inclusions inside elastic bodies Math. Methods Appl. Sci. 39 4980-4993
  • [8] Ricoeur A(2015)On Timoshenko thin elastic inclusions inside elastic bodies Math. Mech. Solids 20 495-511
  • [9] Zhang L-L(2018)On modeling elastic bodies with defects Siberian Electronic Math. Reports. 15 153-166
  • [10] Yang L-Z(2013)Shape control of thin rigid inclusions and cracks in elastic bodies Arch. Appl. Mech. 83 1493-1509
12345