Dynamic Stiffness of Cracked Interfaces

[+] Author and Article Information
Dimitrios A. Sotiropoulos

Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, IL 60208

J. Appl. Mech 57(2), 476-478 (Jun 01, 1990) (3 pages) doi:10.1115/1.2892017 History: Received March 30, 1988; Revised December 06, 1988; Online March 31, 2008


Quantitative relationships are derived between the dynamic macromechanical stiffness and microparameters of planar interfaces containing distributed cracks. The derivation is based on the solution of the problem of elastic wave reflection by a plane with a continuous distribution of springs to model the cracked interface at the macrolevel. The dynamic spring stiffness is then, through averaging, related to crack-opening volumes and other microparameters. For linear springs and periodic crack distributions, numerical examples are presented for plain strain. The stiffness is shown to strongly depend on frequency.

Copyright © 1990 by The American Society of Mechanical Engineers
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