The Principle of Asymptotic Proportionality

[+] Author and Article Information
H. C. M. Chan

Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA

J. Appl. Mech 57(1), 225-231 (Mar 01, 1990) (7 pages) doi:10.1115/1.2888308 History: Accepted April 12, 1988; Received April 12, 1988; Online March 31, 2008


The Principle of Asymptotic Proportionality, which is based on the Green’s function method for equilibrium problems, is proposed. Using this principle, the induced far-field variable due to any distribution of applied physical quantities can be approximated. This principle has been verified by considering the induced stresses due to applied tractions and dislocations in two-dimensional linear elastic media, and has been shown to be applicable to other physical phenomena such as electrostatics, gravitation, and electromagnetism.

Copyright © 1990 by The American Society of Mechanical Engineers
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