Stress, Strain, and Mechanotransduction in Cells

[+] Author and Article Information
J. D. Humphrey

Biomedical Engineering Program, Texas A&M University, College Station, TX 77843-3120

J Biomech Eng 123(6), 638-641 (Aug 06, 2001) (4 pages) doi:10.1115/1.1406131 History: Received January 26, 2001; Revised August 06, 2001
Copyright © 2000 by ASME
Topics: Stress , Mechanisms , Force
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Grahic Jump Location
Schema of the basic concept of the Cauchy stress t, which transforms an outward unit normal vector n into a traction vector (defined as df/da). In particular, note that the stress at a point is the mean t that transforms all T(n) on all oriented surfaces nda within the representative volume element, which we mathematically shrink to a point in a limiting process. Similarly, strain tensors represent the mean associated with the transformation of all dX into all dx within representative volume elements dV and dv as they shrink to a point.



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