Three problems in the mechanics of continua in polyhedra
Journal Article
·
· Journal of Mathematical Sciences
The following problems are considered: the problem of the electromagnetic oscillations of a hollow resonator with an ideally conductive boundary; the steady-state Stokes equations under conditions of slippery walls; the problem of elasticity theory under the boundary condition of a rigid contact. Formally, in polyhedral domains these three problems coincide. It is shown that in a meaningful sense such a coincidence is realized only in convex polyhedra. Related effects are discussed.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 210019
- Journal Information:
- Journal of Mathematical Sciences, Vol. 77, Issue 3; Other Information: PBD: 25 Nov 1995; TN: Translated from Zapiski Nauchnykh Seminarov POMI; 200, 27-37(1992)
- Country of Publication:
- United States
- Language:
- English
Similar Records
An angular biasing method using arbitrary convex polyhedra for Monte Carlo radiation transport calculations
Numerical solution of three-dimensional problem of free vibrations of composite laminated anisotropic shells of revolution
Deformations of polyhedra and polygons by the unitary group
Journal Article
·
Tue Jan 02 00:00:00 EST 2018
· Annals of Nuclear Energy (Oxford)
·
OSTI ID:210019
Numerical solution of three-dimensional problem of free vibrations of composite laminated anisotropic shells of revolution
Journal Article
·
Sun Mar 01 00:00:00 EST 1992
· Mechanics of Composite Materials
·
OSTI ID:210019
Deformations of polyhedra and polygons by the unitary group
Journal Article
·
Sun Dec 15 00:00:00 EST 2013
· Journal of Mathematical Physics
·
OSTI ID:210019