Analytical solutions of boundary-value problems of elasticity for confocal elliptic ring and its parts

被引：3

作者：

Zirakashvili, N. ^{[1
]}

机构：

[1] Iv Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 2 Univ St, Tbilisi, Georgia

来源：

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING | 2018年 / 40卷 / 08期

关键词：

Elasticity; Boundary-value problem; Separation variables; Superposition; Confocal elliptic ring;

D O I：

10.1007/s40430-018-1307-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The work considers the method used to present the solutions of the boundary-value problems of elasticity for a confocal elliptic ring and its parts by using the analytical (exact) solutions of an ellipse and its corresponding internal and external problems. The analytical solutions are obtained by the method of separation of variables. The numerical results of the concrete problems are obtained, and corresponding graphs are constructed.

引用

页数：19

共 50 条

[31] NEUMANN SERIES REPRESENTATION FOR SOLUTIONS TO BOUNDARY-VALUE PROBLEMS IN DYNAMIC ELASTICITY
AHNER, JF
HSIAO, GC
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1975, 33 (01) : 73 - 80
[32] NUMBER OF BOUNDED POSITIVE SOLUTIONS OF THE EXTERIOR ELLIPTIC BOUNDARY-VALUE PROBLEMS
OGATA, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (01) : 17 - 34
[33] COEFFICIENTS IN ASYMPTOTICS OF SOLUTIONS OF ELLIPTIC BOUNDARY-VALUE PROBLEMS NEAR EDGE
MAZYA, VG
PLAMENEVSKII, BA
[J]. DOKLADY AKADEMII NAUK SSSR, 1976, 229 (01): : 33 - 36
[34] ENCLOSURE OF SOLUTIONS OF WEAKLY NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS AND THEIR COMPUTATION
VOLLER, RL
[J]. COMPUTING, 1989, 42 (2-3) : 245 - 258
[35] EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO GENERAL ELLIPTIC BOUNDARY-VALUE PROBLEMS
FREEMAN, RS
SCHECHTER, M
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 15 (02) : 213 - 246
[36] Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
Carl, Siegfried
Heikkila, Seppo
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
[37] Regularity results for solutions of linear elliptic degenerate boundary-value problems
A. El Baraka
M. Masrour
[J]. Arabian Journal of Mathematics, 2020, 9 : 545 - 566
[38] Multiple positive solutions for a class of quasilinear elliptic boundary-value problems
Perera, Kanishka
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[39] ELLIPTIC BOUNDARY-VALUE PROBLEMS ON CORNER DOMAINS - SMOOTHNESS AND ASYMPTOTICS OF SOLUTIONS
DAUGE, M
[J]. LECTURE NOTES IN MATHEMATICS, 1988, 1341 : 1 - &
[40] Regularity results for solutions of linear elliptic degenerate boundary-value problems
El Baraka, A.
Masrour, M.
[J]. ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) : 545 - 566

← 1 2 3 4 5 →