On Membranes, Tension Fields, and the Human Skin

[+] Author and Article Information
D. A. Danielson

Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va.

J. Appl. Mech 42(1), 232-233 (Mar 01, 1975) (2 pages) doi:10.1115/1.3423530 History: Received December 01, 1974; Online July 12, 2010


In this Note we extend and simplify the theory of the deformation of human skin developed in two previous reports. We show that the equations of membranes constrained to slide over deformable mandrels can be written in terms of the unknown law of transformation between coordinate systems on the undeformed and deformed membranes. We also derive the precise equations of tension field theory for membranes undergoing arbitrarily large deformations.

Copyright © 1975 by ASME
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