Hierarchical hp Modeling and Locking Resolution in Laminated Plates and Shells.

Abstract

(1) Non-conforming hp methods were developed for joining subdomains with non-matching boundary meshes on the interface. In particular, the mortar finite element method was shown to be optimal and stable. This work was done in conjunction with implementation in the commercial code MSC-NASTRAN. (2) hp finite element methods that are robust in the presence of locking and boundary layers were developed. These were applied to plates, shells, non-linear elasticity and non-Newtonian fluid flow. (3) Analysis of hp space enrichment methods was carried out for non-linear contact problems. (4) An investigation into the finite element approximation of spectra and non-compact operators was initiated. The theory is needed for an hp approximation of solution to nonlinear buckling problems.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1998
Accession Number
ADA342683

Entities

People

  • Christoph Schwab
  • Manil Suri

Organizations

  • University of Maryland, Baltimore

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Buckling
  • Computational Fluid Dynamics
  • Computational Science
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Integral Equations
  • Layers
  • Mathematics
  • Mechanics
  • Three Dimensional
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.

Technology Areas

  • Space