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Quaternionic representation of the 3D elastic and thermoelastic boundary problems

✍ Scribed by Alexander Tsalik

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
359 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper contains new representations of the 3D elasticity and thermoelasticity problems, expressed in terms of regular quaternion functions, which in 3D and 4D have properties analogous to those of complex analytical functions in 2D. The known and some new results, described in the paper, are used to formulate boundary 3D problems, related to the theory. The formulae obtained are very similar to those given by Muskhelishvili for 2D boundary problems. The obtained representations can be used for development of a 3D boundary element method in numerical analysis.

πŸ“œ SIMILAR VOLUMES

Initial-boundary value problems for non-
Initial-boundary value problems for non-linear equations of generalized thermoelasticity and elasticity
✍ Andrzej ChrzΔ™szczyk πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 561 KB

## Abstract We formulate a local existence theorem for the initial‐boundary value problems of generalized thermoelasticity and classical elasticity. We present a unified approach to such boundary conditions as, for example, the boundary condition of traction, pressure or place combined with the bou