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RESEARCH PAPERS

Application of Numerical Mapping to the Muskhelishvili Method in Plane Elasticity

[+] Author and Article Information
V. L. Pisacane

The Johns Hopkins University, Applied Physics Laboratory, Silver Spring, Md.

L. E. Malvern

Department of Metallurgy, Mechanics, and Materials Science, Michigan State University, East Lansing, Mich.

J. Appl. Mech 30(3), 410-414 (Sep 01, 1963) (5 pages) doi:10.1115/1.3636570 History: Received November 26, 1962; Online September 16, 2011

Abstract

A procedure for treating plane-elasticity problems in simply connected regions, consisting of use of numerical mapping methods in order to apply the Muskhelishvili complex variable method, is demonstrated. This approach now makes the whole complex variable method susceptible to automatic solution on a digital computer. An example is considered for which the exact solution was known; a comparison to the finite-difference solution for this example is also made.

Copyright © 1963 by ASME
Topics: Elasticity , Computers
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