A Continuum Damage Model for Fracture of Brittle Solids Under Dynamic Loading

[+] Author and Article Information
E. P. Fahrenthold

Department of Mechanical Engineering, University of Texas, Austin, TX 78712

J. Appl. Mech 58(4), 904-909 (Dec 01, 1991) (6 pages) doi:10.1115/1.2897704 History: Received December 28, 1989; Revised August 17, 1990; Online March 31, 2008


A continuum damage mechanics description of elastic-brittle fracture provides an appropriate constitutive model for impact simulations involving ceramic, rock, or similar materials. For an orthotropically damaged solid, a complementary energy function may be derived from a mesomechanical description of three orthogonal arrays of coalescing cracks. Damage evolution equations suggested by dynamic fracture test measurements may be expressed in terms of tensor power functions which generalize classical one-dimensional analyses. Measured Weibull strength distributions may be employed to account for flaw size distribution effects on the damage accumulation rate. The resulting model avoids the introduction of effective stress assumptions or the use of specialized material property coefficients obtained from nonstandard mechanical tests.

Copyright © 1991 by The American Society of Mechanical Engineers
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