Wave Diffraction by a Crack: Finite Element Simulations

by Wilton W. King, Assoc. Prof. of Engrg. Sci. and Mechanics; Georgia Inst. of Tech., Atlanta, Ga., and Consultant, Lockheed-Georgia Co., Marietta, Ga.,
John F. Malluck, Sr. Aircraft Struct. Engr.; Lockheed-Georgia Co., Marietta, Ga.,

Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 4, Pg. 601-610

Document Type: Journal Paper


The two-dimensional problem of a plane longitudinal stress wave diffracted by a straight crack is simulated by the finite element method. Time-dependent stress-intensity factors are computed with the aid of a crack-tip singularity element. Numerical results are obtained from two finite-element models using both consistent-mass and lumped-mass matrices and two different sizes of time step in the time-integration algorithm. The problem is simulated by application of two different superposition schemes. In one case the finite element model is loaded on a boundary remote from the crack; in the other case the model is excited through loading of the crack face. Computed stress-intensity factors are in good agreement with an existing analytical solution.

Subject Headings: Wave diffraction | Finite element method | Cracking | Stress analysis | Stress waves | Load factors | Long waves | Two-dimensional models

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