Optimal control of crack growth in elastic body with inclusions

被引:26
|
作者
Khludnev, Alexander [1 ]
机构
[1] Russian Acad Sci, MA Lavrentyev Hydrodynam Inst, Novosibirsk 630090, Russia
关键词
Crack; Nonlinear boundary condition; Optimal control; Derivative of energy functional; Rigid; Elastic inclusions; CONTACT;
D O I
10.1016/j.euromechsol.2009.10.010
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the paper, an optimal control problem of crack growth is considered, allowing to choose the most safe inclusions in elastic bodies from the standpoint of their influence on a crack propagation. (C) 2009 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:392 / 399
页数:8
相关论文
共 50 条
  • [1] Optimal Control of Parameters for Elastic Body with Thin Inclusions
    Khludnev, Alexander
    Esposito, Antonio Corbo
    Faella, Luisa
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 184 (01) : 293 - 314
  • [2] Optimal Control of Parameters for Elastic Body with Thin Inclusions
    Alexander Khludnev
    Antonio Corbo Esposito
    Luisa Faella
    Journal of Optimization Theory and Applications, 2020, 184 : 293 - 314
  • [3] Optimal Control of Rigidity Parameter of Elastic Inclusions in Composite Plate with a Crack
    Lazarev, Nyurgun
    Neustroeva, Natalia
    MATHEMATICS AND COMPUTING (ICMC 2018), 2018, 253 : 67 - 77
  • [4] On an optimal control problem for the shape of thin inclusions in elastic bodies
    Shcherbakov V.V.
    Journal of Applied and Industrial Mathematics, 2013, 7 (3) : 435 - 443
  • [5] Optimal control of cracks in elastic bodies with thin rigid inclusions
    Khludnev, Alexander M.
    Leugering, Guenter
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2011, 91 (02): : 125 - 137
  • [6] Optimal Control of Inclusion and Crack Shapes in Elastic Bodies
    Khludnev, A.
    Leugering, G.
    Specovius-Neugebauer, M.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (01) : 54 - 78
  • [7] Optimal Control of Inclusion and Crack Shapes in Elastic Bodies
    A. Khludnev
    G. Leugering
    M. Specovius-Neugebauer
    Journal of Optimization Theory and Applications, 2012, 155 : 54 - 78
  • [8] Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control
    Khludnev, Alexander
    Popova, Tatiana
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (01) : 253 - 262
  • [9] Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body
    Khludnev, A. M.
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2015, 79 (05): : 493 - 499
  • [10] Equilibrium of an Elastic Body with Closely Spaced Thin Inclusions
    Khludnev, A. M.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (10) : 1660 - 1672