Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI

被引：0
|
作者：
Alexandros Markopoulos
Petr Beremlijski
Oldřich Vlach
Marie Sadowská
机构：
[1] Safran Aircraft Engines,Department of Applied Mathematics
[2] VSB-Technical University of Ostrava,IT4Innovations National Supercomputing Center
[3] VSB-Technical University of Ostrava,undefined
来源：
Applications of Mathematics | 2023年 / 68卷
关键词：
shape optimization; nonsmooth optimization; contact problem; Coulomb’s friction; TFETI method; 65K10; 74M10; 65K05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper deals with the numerical solution of 3D shape optimization problems in frictional contact mechanics. Mathematical modelling of the Coulomb friction problem leads to an implicit variational inequality which can be written as a fixed point problem. Furthermore, it is known that the discretized problem is uniquely solvable for small coefficients of friction. Since the considered problem is nonsmooth, we exploit the generalized Mordukhovich’s differential calculus to compute the needed subgradient information.
引用
收藏
页码：405 / 424
页数：19
相关论文
共 50 条
  • [21] Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution
    Jaroslav Haslinger
    Tomáš Ligurský
    Applications of Mathematics, 2009, 54 : 391 - 416
  • [22] An algorithm for solving 3D contact problems with friction
    Kucera, R
    Haslinger, J
    Dostál, Z
    ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 217 - 220
  • [23] Some test examples of 2D and 3D contact problems involving Coulomb friction and large slip
    Feng, ZQ
    MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (4-8) : 469 - 477
  • [24] A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law
    Zhang, HW
    He, SY
    Li, XS
    Wriggers, P
    COMPUTATIONAL MECHANICS, 2004, 34 (01) : 1 - 14
  • [25] A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law
    H. W. Zhang
    S. Y. He
    X. S. Li
    P. Wriggers
    Computational Mechanics, 2004, 34 : 1 - 14
  • [26] Duality Method for Solving 3D Contact Problems with Friction
    R. V. Namm
    G. I. Tsoy
    Computational Mathematics and Mathematical Physics, 2023, 63 : 1350 - 1361
  • [27] Duality Method for Solving 3D Contact Problems with Friction
    Namm, R. V.
    Tsoy, G. I.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (07) : 1350 - 1361
  • [28] Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
    Dostal, Z.
    Kozubek, T.
    Vondrak, V.
    Brzobohaty, T.
    Markopoulos, A.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 82 (11) : 1384 - 1405
  • [29] Approximation and numerical realization of 2D contact problems with Coulomb friction and a solution-dependent coefficient of friction
    Haslinger, J.
    Vlach, O.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (02) : 421 - 436
  • [30] T-FETI Based Algorithm for 3D Contact Problems with Orthotropic Friction
    Haslinger, Jaroslav
    Kucera, Radek
    RECENT ADVANCES IN CONTACT MECHANICS, 2013, 56 : 131 - 149
12345