๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The integral equation formulation of mixed finite time-dependent elastic problems

โœ Scribed by M.G. El Sheikh

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
657 KB
Volume
24
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper establishes through a concrete example that the integral equation formulation of time-dependent mixed boundary value problems can be extended for problems in the theory of elasticity. To this end, the method applied to the resulting integral equation is the one begun by Cherski [1] and evolved by F_~khardt and El Sheikh [2] still further to solve initial mixed boundary value problems. New relationships between the fundamental coefficients characterizing the technique are obtained. These simplify the procedures and reveal more of the nature of the method.

๐Ÿ“œ SIMILAR VOLUMES

Mixed finite element solution of time-de
Mixed finite element solution of time-dependent problems
โœ J.A. Teixeira de Freitas ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 543 KB

A mixed formulation of the finite element method is used to establish a higher-order incremental method for the solution of secondorder/hyperbolic problems. The displacement, the velocity and, optionally, the acceleration fields are approximated independently in time using hierarchical bases. The ti

Integral equation solution of the cracke
Integral equation solution of the cracked finite elastic disc
โœ E.N. Theotokoglou ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 600 KB

The problem of the finite disc weakened by a crack is considered and reduced to a singular integral equation for an arbitrary crack location. Two kinds of loading are considered. An internal pressure within the crack, and two in-plane concentrated forces applied on the disc. Appropriate numerical pr