Numerical Methods of Solution of Contact Problems in Layered Media

被引：2
作者：
Fabrikant, V. I. [1 ]
机构：
[1] Archambault Jail, 167 932D,242 Montee Gagnon, Ste Anne Des Plaines, PQ J0N 1H0, Canada
来源：
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS | 2011年 / 12卷 / 02期
关键词：
Contact problems; layeredmedia; numerical methods; integral equations; transversely isotropic body; asymptotic solution;
D O I：
10.1080/15502287.2010.548005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
It is shown that we can design numerical methods and create software that would be universally applicable for all kinds of interfaces and for any number of layers. In addition, accurate results are presented for various layer configurations and interfaces, which can serve as benchmarks for developers of new methods.
引用
收藏
页码：84 / 95
页数：12
相关论文
共 50 条
[41]   Convergence of a contact-Neumann iteration for the solution of two-body contact problems [J].
Eck, C ;
Wohlmuth, B .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2003, 13 (08) :1103-1118
[42]   Analytical solution for the advection-dispersion transport equation in layered media [J].
Perez Guerrero, J. S. ;
Pimentel, L. C. G. ;
Skaggs, T. H. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 56 (1-2) :274-282
[43]   Numerical Problems in the Solution of Markov Models for RAID Systems [J].
Shooman, Andrew M. ;
Shooman, Martin L. .
2022 68TH ANNUAL RELIABILITY AND MAINTAINABILITY SYMPOSIUM (RAMS 2022), 2022,
[44]   Fictitious domain approach for numerical solution of elliptic problems [J].
Myslinski, A ;
Zochowski, A .
CONTROL AND CYBERNETICS, 2000, 29 (01) :305-323
[45]   Finite-element solution of contact problems in elasticity theory [J].
Marina N.L. .
Russian Engineering Research, 2015, 35 (04) :277-281
[46]   Solution of contact problems on the basis of a refined theory of plates and shells [J].
Volchkov, Yu. M. ;
Vajeva, D. V. .
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2008, 49 (05) :846-852
[47]   Solution of contact problems on the basis of a refined theory of plates and shells [J].
Yu. M. Volchkov ;
D. V. Vajeva .
Journal of Applied Mechanics and Technical Physics, 2008, 49 :846-852
[48]   On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method [J].
Gfrerer, Helmut ;
Outrata, Jiri V. ;
Valdman, Jan .
LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2021), 2022, 13127 :515-523
[49]   Solution of contact problems for a transversely isotropic elastic layer bonded to an elastic half-space [J].
Fabrikant, V. I. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2009, 223 (11) :2487-2499
[50]   Fractional boundary value problems: Analysis and numerical methods [J].
Neville J. Ford ;
M. Luísa Morgado .
Fractional Calculus and Applied Analysis, 2011, 14 :554-567
12345