Hierarchic Modeling of Plates

Abstract

The problem of partial differential equations on a special domain omega typically the thin domain is usually simplified by various dimensional reduction techniques. The aim is to approximately solve the 3 dimensional problem by a two dimensional formulation. This approach is widely applied in the connections with plates and shells. Today many plates and shells theories (models) are used in practice. The principles of derivation of these models can be divided into 3 groups: (1) Physical derivation; (2) Asymptotic analysis; and (3) Numerical hierarchical approaches.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA232754

Entities

People

  • Ivo Babuška
  • Liying Li

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Boundary Layer
  • Boundary Value Problems
  • Computational Science
  • Computer Science
  • Differential Equations
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Materials
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Physical Sciences
  • Theorems
  • Three Dimensional

Readers

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