Sixth Order Analyses of Closure in a Cracked-Elasto-Plastic Plate.

Abstract

The bending of a plate containing a centrally located, through crack is analyzed. Results are obtained numerically via a finite element analysis based on the assumptions of Mindlin sixth order plate theory, which admits three boundary conditions at any point and includes the effects of transverse shear. Elastic and elasto-plastic results are presented for two cases, one that includes the effects of closure and one that does not. The influence of closure on the local displacements, stress distributions, bending stress intensity factors, crack tip blunting, and the growth of the plastic enclave is demonstrated. The effect of thickness and the significance of transverse shear is also discussed. The results show that boundary conditions are critical to the modelling process, that the effects of closure are significant and must be included when demanded by the actual physical situation, and that the important issues regarding the plate bending problem have been identified and analyzed, so that issues regarding more detailed behavior may be addressed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA070466

Entities

People

  • Francis S. Heming

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Differential Equations
  • Equations
  • Extrapolation
  • Finite Element Analysis
  • Geometry
  • Integral Equations
  • Materials
  • Mathematical Analysis
  • Mechanics
  • Numerical Analysis
  • Plastic Explosives
  • Plastic Flow
  • Shear Modulus
  • Stress Strain Relations
  • Stresses
  • Three Dimensional

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.