A central crack which propagates symmetrically in an orthotropic composite plate is investigated using the techniques of Fourier and Laplace transforms. The crack is located along one of the principal axes of the material. Complete contour integrations are carried out in the evaluation of the Laplace inversion integrals. For the crack tips running at a constant speed, exact expressions for the dynamic crack shape and the dynamic stress distribution with singularities in the crack plane are obtained in terms of anisotropic material constants and crack speed. The dynamic expressions are evaluated numerically by using graphite/epoxy and glass/ epoxy composites and an isotropic material as sample materials. The dynamic solution reduces to the static solution at zero crack speed. During crack propagation, the deviation between dynamic and static solutions is governed by dynamic correction factors which are nondimensional functions of the ratios among anisotropic material constants and the ratio of crack speed to shear-wave speed. Values of these dynamic factors are obtained for the sample composites at a large range of crack speed. The dynamic stress intensity factor vanishes at the corresponding Rayleigh wave speed.
Skip Nav Destination
Article navigation
December 1995
Technical Papers
Symmetrical Propagation of a Central Crack in Orthotropic Material
Y. M. Tsai
Y. M. Tsai
Department of Aerospace Engineering and Engineering Mechanics, Iowa State University, Ames, IA 50011
Search for other works by this author on:
Y. M. Tsai
Department of Aerospace Engineering and Engineering Mechanics, Iowa State University, Ames, IA 50011
J. Appl. Mech. Dec 1995, 62(4): 1047-1052 (6 pages)
Published Online: December 1, 1995
Article history
Received:
February 17, 1994
Revised:
August 3, 1994
Online:
October 30, 2007
Citation
Tsai, Y. M. (December 1, 1995). "Symmetrical Propagation of a Central Crack in Orthotropic Material." ASME. J. Appl. Mech. December 1995; 62(4): 1047–1052. https://doi.org/10.1115/1.2896041
Download citation file:
15
Views
Get Email Alerts
Cited By
Mechanics of a Tunable Bistable Metamaterial With Shape Memory Polymer
J. Appl. Mech (January 2025)
Phase Diagrams for Anticlastic and Synclastic Bending Curvatures of Hexagonal and Reentrant Honeycombs
J. Appl. Mech (January 2025)
Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models
J. Appl. Mech (January 2025)
Related Articles
Dynamic Behavior of an Orthotropic Material Containing a Central
Crack
J. Pressure Vessel Technol (May,1989)
Use of an Advanced Shear-Lag Model to Obtain the Optimum Internal Damping in Short-Fiber Composites
Appl. Mech. Rev (November,1989)
Calculation of the Response of a Composite Plate to Localized Dynamic Surface Loads Using a New Wave Number Integral Method
J. Appl. Mech (January,2005)
Buckling and Growth of Delamination in Thermoset and Thermoplastic Composites
J. Eng. Mater. Technol (January,1991)
Related Proceedings Papers
Related Chapters
Determination of Fracture Strength in Orthotropic Graphite-Epoxy Laminates
Composite Reliability
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
Prediction of Transverse Strength and Scatter in Test Data for Unidirectional Composites
Composite Reliability