Object

Title: The state equations for the first and second fundamental problems of elastodynamics for a cracked medium

Publication Details:

Լույս է տեսնում 1966 թվականից՝ տարին 4 անգամ։

Journal or Publication Title:

ՀՀ ԳԱԱ Տեղեկագիր: Մեխանիկա =Известия НАН РА “Механика”=Proceedings of NAS RA: Mechanics

Date of publication:

2008

Volume:

61

Number:

3

ISSN:

0002-3051

Official URL:


Coverage:

5-16

Abstract:

In our work we will derive the state equations the first and second fundamental dynamical problems in the frame of linear elasticity. In the first fundamental dynamical problem we will consider an infinite medium that contains a crack, on the lips of which, the stresses are considered to be known. The second fundamental problem has the same formulation, but in this case, the displacements on the crack lips are known. Beginning from the equations of motion, Hooke’s law and the compatibility equations we will derive the state equations for the above mentioned problems. The derivation of the equations will be based on the Muskhelishvili method of the Complex Potentials, the use of the Sohotsky – Plemely formulas and finally we will get two singular integral equations that are the state equations for the problems.

Place of publishing:

Երևան

Publisher:

National Academy of Sciences of Armenia

Date created:

2008

Format:

pdf

Identifier:

oai:arar.sci.am:169619

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Sep 24, 2024

In our library since:

Jun 22, 2020

Number of object content hits:

13

All available object's versions:

https://arar.sci.am/publication/186781

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