The corner element in classical elasticity and Cosserat elasticity

Lakes, Roderic S.

doi:10.2140/jomms.2021.16.225

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The corner element in classical elasticity and Cosserat elasticity

Roderic S. Lakes

Vol. 16 (2021), No. 2, 225–235

DOI: 10.2140/jomms.2021.16.225

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

Vol. 16, No. 2, 2021

Roderic S. Lakes

Abstract

Keywords

Milestones

Authors