Special aspects of surface-related shell theories with application to contact problems

Research output: Contribution to book/conference proceedings/anthology/reportChapter in book/anthology/reportContributedpeer-review

Abstract

Fundamental relations of continuum mechanics are the starting-point for the derivation of a surface-related finite shell element. The variational principle of Hu-Washizu is stated and modified. In this formulation the stress tensor is eliminated from the functional with the aid of an orthogonality condition. This allows to introduce additional strain parameters to avoid or reduce locking phenomena respectively, whereby an expansion of the element stiffness matrix can be prevented. The continuum mechanical relationships are prepared for the utilization in the shell theory with a kinematical restriction. The chosen linear ansatz for the displacement field over the thickness is the only restriction of the body's motion. The contact conditions are introduced by following the continuum based formulation as suggested by Laursen and Simo [1]. This formulation is extended to handle adhesion and is used to model the interface behavior in layered structures.

Details

Original languageEnglish
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherW B SAUNDERS CO-ELSEVIER INC
Pages787-790
Number of pages4
ISBN (electronic)9780080529479
ISBN (print)9780080440460
Publication statusPublished - 2 Jun 2003
Peer-reviewedYes

Keywords

ASJC Scopus subject areas

Keywords

  • Contact problems, Surface-related shell theory, Thickness locking