Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements—Part 1: Formulation

[+] Author and Article Information
T. Nishioka, S. N. Atluri

Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, Ga. 30332

J. Appl. Mech 47(3), 570-576 (Sep 01, 1980) (7 pages) doi:10.1115/1.3153733 History: Received November 01, 1979; Revised February 01, 1980; Online July 21, 2009


An efficient numerical (finite-element) method is presented for the dynamic analysis of rapidly propagating cracks in finite bodies, of arbitrary shape, wherein linear-elastic material behavior and two-dimensional conditions prevail. Procedures to embed analytical asymptotic solutions for singularities in stresses/strains near the propagating crack-tip, to account for the spatial movement of these singularities along with the crack-tip, and to directly compute the dynamic stress-intensity factor, are presented. Numerical solutions of several problems and pertinent discussions are presented in Part 2 of this paper.

Copyright © 1980 by ASME
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