Correct traction boundary conditions in the indeterminate couple stress model

2015/04/02 by Patrizio Neff, Ionel-Dumitrel Ghiba, Ionel‐Dumitrel Ghiba +7
Engineering · Materials Science · Mathematics · Physics and Astronomy · #74A30 #74A35 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.AP #math.MP #msc:74A30 #msc:74A35

paper · pdf · doi:10.48550/arxiv.1504.00448

arxiv created 2015/04/02 · openalex publication_date 2015/04/02 · arxiv updated 2015/04/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the Grioli-Koiter-Mindlin-Toupin indeterminatecouple stress model. The main aim is to show that the traction boundary conditions were not yet completely deduced. As it turns out, and to our own surprise, restricting the boundary condition framework from the strain gradient models to the couple stress model does not reduce to Mindlin's set of accepted boundary conditions. We present therefore, for the first time the complete, consistent set of traction boundary conditions.

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