Second Order Accurate Finite Difference Methods

Abstract

Existing second order accurate finite difference methods have been evaluated for application to finite deformation transient dynamic response problems in solids. A new second order accurate finite difference technique has been developed. This is a two-step technique that can be used with deformable Lagrangian meshes. The technique has been developed by using the concepts of contour differences and MacCormack methods. The second order techniques have been applied to study many problems including dynamic poynting effect problems, interaction of stress waves and cracks, beams, with nonstructured masses and stiffened shells.

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Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1984
Accession Number
ADA216822

Entities

People

  • S. Hanagud

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dynamic Response
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Hyperbolic Differential Equations
  • Materials
  • Mechanical Properties
  • Mechanics
  • Partial Differential Equations
  • Stress Waves
  • Stresses
  • Wave Equations
  • Waves

Readers

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