Vol. 16, No. 2, 2021

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The corner element in classical elasticity and Cosserat elasticity

Roderic S. Lakes

Vol. 16 (2021), No. 2, 225–235
Abstract

The corner element is considered in torsion of a square cross section bar. Understanding the corner element has a pedagogic role in mechanics of materials and elasticity and is also helpful in providing physical insight for generalized continuum theories such as Cosserat elasticity. Analysis of the corner element reveals the slope of the warp curve at the corner in a classical solid and approximates the slope of the warp curve in a Cosserat solid.

Keywords
Cosserat, elasticity, corner
Milestones
Received: 18 January 2021
Revised: 9 February 2021
Accepted: 13 February 2021
Published: 6 June 2021
Authors
Roderic S. Lakes
Department of Engineering Physics
University of Wisconsin–Madison
Madison, WI
United States