University of Illinois Urbana-Champaign

Application of fracture mechanics to orthotropic plates

Wu, Edward M.

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https://hdl.handle.net/2142/111967

Description

Title
Application of fracture mechanics to orthotropic plates
Author(s)
Wu, Edward M.
Issue Date
1963-06
Keyword(s)
  • Fracture Mechanics
  • Orthotropic Plates
Abstract
The Griffith-Irwin (or linear-elastic) fracture concept was used to investigate the feasibility of the application of fracture mechanics to orthotropic plates. The problem of an infinite plate containing a single crack orientated in the direction of one of the planes of elastic symmetry of the plate subjected to arbitrary plane loading was examined. Two analytical crack tip stress analyses for this case were presented, and unlike the isotropic case, the stress distributions were observed to be dependent on the material constants. However, as in the isotropic case the crack tip stress singularity was observed to be r-1/2 and stress intensity factors k1 = σ√a and k2 = τ√a for loading symmetric and skew-symmetrical to the crack respectively could be used. Further, the existence of a functional relation between k1 and k2 was proposed. Results of the experimental investigation using balsa wood plates indicated that the critical stress intensity factors k1c and k2c were constants for tension and pure shear. Moreover, under combined tension and shear, k1c and k2c were found to be related by the function 〖(k_1/k_1c )〗^1 + 〖(k_2/k_2c )〗^2 = 1 which satisfied the physical considerations.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 248
  • 1967-0544
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/111967
Sponsor(s)/Grant Number(s)
U.S. Naval Research Laboratory, Contract No. Nonr 2947 (02) (x), NRL Project 62 R05 19A
Copyright and License Information
Copyright 1963 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.