Formulation of the Large Deflection Shell Equations for Use in Finite Difference Structural Response Computer codes

Abstract

A formulation of the equations governing the large transient deformation of Kirchhoff shells especially suitable for use in finite difference structural response codes is presented. It is shown how these equations are employed in REPSIL, a computer code developed at the BRL for predicting the large deflection of thin elastoplastic shells subjected to blast and impulse loadings. The REPSIL formulation is compared with the somewhat similar formulations used by PETROS 1 and PETROS 2, two closely related codes developed by MIT.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0740742

Entities

People

  • Joseph M. Santiago

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Equations
  • Equations Of Motion
  • Geometry
  • Linear Momentum
  • Mechanics
  • Momentum
  • Numerical Analysis
  • Partial Differential Equations
  • Plastic Flow
  • Strain Hardening
  • Strain Rate
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)