University of Illinois Urbana-Champaign

Fracture criterion for orthotropic plates under influence of compression and shear

Wu, Edward M.

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https://hdl.handle.net/2142/112004

Description

Title
Fracture criterion for orthotropic plates under influence of compression and shear
Author(s)
Wu, Edward M.
Issue Date
1965-09
Keyword(s)
  • Fracture
  • Orthotropic Plates
  • Compression
  • Shear
Abstract
A theoretical and experimental investigation on the fracture criterion for orthotropic plates subjected to compression, where failure is characterized by rapid crack extension, is undertaken. Three mathematical models are presented to study the influence of the frictional tractions created between the crack surfaces by the compressive force and crack displacements. These models represent the three possible cases of relative displacement of the crack surfaces, they are: 1) the case where relative displacements exist over the entire crack surfaces, 2) the case where relative crack surface displacement does not exist, and 3) the case where relative displacements exist over a portion of the crack surface. Solutions to the boundary value problems for these models give the elastic stress distributions in closed forms. In particular, these solutions are specialized for the neighborhood of the crack tip and examined in the spirit of fracture mechanics. Parameters which characterize the intensity of the crack-tip stress distribution for the three models are isolated and defined as stress intensity factors. Experimental investigations using Scotch-ply unidirectional fiberglass reinforced plates are designed to observe the modes of failure, to explore the validity of the hypotheses formed in the analysis, and to select from the three proposed models the one which is most capable of representing the physical phenomena. The domain in compression where fracture mechanics is applicable is determined and a phenomenological criterion of fracture is obtained.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 283
  • 1966-0035
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112004
Sponsor(s)/Grant Number(s)
U.S. Bureau of Naval Weapons, Contract Now 65-0204-d
Copyright and License Information
Copyright 1965 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.