๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Singular solutions and Green's method in micropolar theory of elasticity

โœ Scribed by Khan, S. M. ;Dhaliwal, R. S. ;Chowdhury, K. L.

Book ID
104747851
Publisher
Springer
Year
1972
Tongue
English
Weight
635 KB
Volume
25
Category
Article
ISSN
0003-6994

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โœฆ Synopsis

The matrices of fundamental solutions are constructed for a concentrated force as well as a concentrated couple varying harmonically in time and acting in an unbounded micropolar elastic continuum. These solutions are then used to obtain solutions for some other loading singularities. Integral representations, for the displacement and the rotation vectors are obtained by making use of the basic singular solutions. The formal solutions to two fundamental boundary value problems are expressed in terms of integrals which include given surface and body data and Green's functions.

๐Ÿ“œ SIMILAR VOLUMES

Singular loadings in elasticity problems
Singular loadings in elasticity problems and singular solutions of the corresponding integral equations
โœ N. I. Ioakimidis ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 395 KB

The method of singular integral equations is an efficient method for the formulation and numerical solution of plane and antiplane, static and dynamic, isotropic and anisotropic elasticity problems. Here we consider three cases of singular loadings of the elastic medium: by a force, by a moment and