Inverse Boundary Value Problem of the Plane Theory of Elasticity

被引：1

作者：

Shirokova, E. A. ^{[1
]}

机构：

[1] Kazan Fed Univ, 18 Kremlyovskaya Str, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2020年 / 64卷 / 05期

关键词：

inverse boundary value problem; plane theory of elasticity; linear system; eigenvalue; UNIT DISK;

D O I：

10.3103/S1066369X20050072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There is given the formulation and the solution of the inverse boundary value problem of the plane theory of elasticity in this paper. The solution is reduced to finding the Taylor coefficients for the function which maps the unit dick onto the unknown domain.

引用

页码：66 / 73

页数：8

共 50 条

[1] Inverse Boundary Value Problem of the Plane Theory of Elasticity
E. A. Shirokova
[J]. Russian Mathematics, 2020, 64 : 66 - 73
[2] INVERSE BIPERIODIC PROBLEM OF PLANE THEORY OF ELASTICITY
IVANOV, GM
KOSMODAM.OS
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1972, (09): : 826 - &
[3] A nonuniqueness theorem for an inverse boundary value problem in elasticity
Nakamura, G
Tanuma, K
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (02) : 602 - 610
[4] On the inverse boundary value problem for linear isotropic elasticity
Eskin, G
Ralston, J
[J]. INVERSE PROBLEMS, 2002, 18 (03) : 907 - 921
[5] A plane periodic boundary-value problem of elasticity theory for a half-plane with curvilinear edge
Savruk, M. P.
Kazberuk, A.
[J]. MATERIALS SCIENCE, 2008, 44 (04) : 461 - 470
[6] A plane periodic boundary-value problem of elasticity theory for a half-plane with curvilinear edge
M. P. Savruk
A. Kazberuk
[J]. Materials Science, 2008, 44 : 461 - 470
[7] THE 2ND BOUNDARY-VALUE PROBLEM OF THE PLANE ELASTICITY THEORY FOR A WEDGE
DOBRUSHKIN, VA
[J]. DOKLADY AKADEMII NAUK SSSR, 1984, 279 (01): : 77 - 79
[8] INTEGRAL-EQUATION OF INVERSE PROBLEM OF PLANE THEORY OF ELASTICITY
VIGDERGAUZ, SB
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1976, 40 (03): : 518 - 522
[9] Global uniqueness for an inverse boundary value problem arising in elasticity
Gen Nakamura
Gunther Uhlmann
[J]. Inventiones mathematicae, 2003, 152 : 205 - 207
[10] Regularized boundary element solution for an inverse boundary value problem in linear elasticity
Marin, L
Lesnic, D
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (11): : 817 - 825

← 1 2 3 4 5 →