๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A linear finite element approach to the solution of the variational inequalities arising in contact problems of structural dynamics

โœ Scribed by D. Talaslidis; P. D. Panagiotopoulos

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
783 KB
Volume
18
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

The present paper deals with the theoretical and numerical treatment of dynamic unilateral problems. The governing equations are formulated as an equivalent variational inequality expressing D' Alembert's principle in its inequality form. The discretization with respect to time and space leads to a static nonlinear programming problem which is solved by an appropriate algorithm. Some properties of dynamic unilateral problems are outlined and the influence of several parameters on the solution is investigated by means of numerical examples.

๐Ÿ“œ SIMILAR VOLUMES

A direct approach to the finite element
A direct approach to the finite element solution of elliptic optimal control problems
โœ Dan Givoli ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 384 KB ๐Ÿ‘ 3 views

A general framework is developed for the finite element solution of optimal control problems governed by elliptic nonlinear partial differential equations. Typical applications are steady-state problems in nonlinear continuum mechanics, where a certain property of the solution (a function of displac

Existence Theorems of Solutions for Gene
Existence Theorems of Solutions for Generalized Quasi-variational Inequalities, a Minimax Theorem, and a Section Theorem in the Spaces without Linear Structure
โœ Xian Wu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

In this paper, by using particular techniques, two existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure are established; and finally, a new coincidence theorem in locally convex spaces is obtai