Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/the-contact-problems-of-the-mathematical-theory-ofelasticity-for-sSX9fPe3mz
References (27)
-
N. Shavlakadze (1999)
On singularities of contact stress upon tension and bending of plates with elastic inclusionsProc. A. Razmadze Math. Inst., 120
-
W. Hackbusch (1995)
Singular Integral Equations -
G.A. Morar’, G. Ya (1970)
Popov, On a contact problem for a half-plane with an elastic finite fastenerPrikl. Mat. Mekh., 34
-
N. Shavlakadze (2003)
Bending of elastic anisotropic plate with elastic inclusionIzv. Ross. Acad. Nauk Mekh. Tverd. Tela, 6
-
V. Alexandrov, S. Mkhitaryan (1983)
Contact Problems for Bodies with Thin Covers and Layers -
N. Shavlakadze (2001)
The contact problem of bending of plate with thin fastenerIzv. Ross. Acad. Nauk Mekh. Tverd. Tela, 3
-
R. Bantsuri, N. Shavlakadze (2002)
The contact problem for an anisotropic wedge-shaped plate with an elastic fastening of variable stiffnessJournal of Applied Mathematics and Mechanics, 66
-
R. Bantsuri (1974)
A boundary-value problem of theory of analytical functionsSoobshch. Akad. Nauk GSSR, 73
-
L. Kantorovich, V. Krylov, C. Benster, G. Weiss (1960)
Approximate methods of higher analysis -
O. Onishchuk, G. Popov, J. Proshcherov (1984)
On some contact problems for reinforced platesPrikl. Mat. Mekh., 48
-
R. Bantsuri (1975)
The contact problem for an anisotropic wedge with an elastic fasteningDokl. Akad. Nauk SSSR, 222
-
N. Shavlakadze (2002)
Bending of an Elastic Anisotropic Plate with a Circular Opening Stiffened Over Finite AreasInternational Applied Mechanics, 38
-
O. Onishchuk, G. Popov (1980)
On some problems of bending of plates with cracks and thin inclusionsIzv. Akad. Nauk SSSR Mekh. Tverd. Tela, 4
-
M.M. Fridman (1941)
On some problems of bending of thin isotropic platesPrikl. Mat. Mekh., 5
-
B.M. Nuller (1972)
An elastic wedge stiffened on a finite section with a rod of variable cross-sectionIzv. AN SSSR Mekh. Tverd. Tela, 5
-
N. Shavlakadze (1999)
A Contact Problem of the Interaction of a Semi-Finite Inclusion with a PlateGeorgian Mathematical Journal, 6
-
N. Shavlakadze (2002)
Bending of an elastic anisotropic plate with a circular opening stiffened over finite areasPrikl. Mekh, 38
-
S. Lekhnitskii (1947)
Anisotropic Plates -
L. Magnaradze (1942)
On one integral equation of the aeroplane wing theorySoobshch. Acad. Nauk GSSR, 3
-
I. Vekua (1945)
On Prandtl integral differential equationsPrikl. Mat. Mekh., 9
-
N. Muskhelishvili, C. Gerretsen, M. Naimark, Normed Rings (1953)
Some basic problems of the mathematical theory of elasticity -
B. Nuller (1976)
The deformation of an elastic wedge-shaped plate supported by a rod of variable stiffness and a method of solving mixes problemsPrikl. Mat. Mekh., 40
-
I.M. Gelfand, G.E. Shilov (1958)
Generalized Functions and Operations over Them -
O. Onishchuk, G. Popov, P. Farshight (1986)
On singularities of contact stresses under bending of plates with thin inclusionsPrikl. Mat. Mekh., 50
-
R. Bantsuri, N. Shavlakadze (2002)
The contact problem for an anisotropic wedge-shaped plate with an elastic fastening of variable stiffnessPrikl. Mat. Mekh., 66
-
G. Popov (1983)
Concentration of Elastic Stresses Near Punches, Cuts, Thin Inclusions and Supports -
L. Kantorovich, G. Akilov (1977)
Functional Analysis
- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer Science + Business Media B.V.
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-007-9153-7
- Publisher site
- See Article on Publisher Site
Abstract
The contacts problem of the theory of elasticity and bending theory of plates for finite or infinite plates with an elastic inclusion of variable rigidity are considered. The problems are reduced to integral differential equation or to the system of integral differential equations with variable coefficient of singular operator. If such coefficient varies with power law we can manage to investigate the obtained equations, to get exact or approximate solutions and to establish behavior of unknown contact stresses at the ends of elastic inclusion.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Sep 7, 2007