Strain gradient elasticity within the symmetric BEM formulation
Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29
Abstract
The symmetric Galerkin Boundary Element Method is used to address a class of strain gradientelastic materials featured by a free energy function of the (classical) strain and of its (first) gradient. With respectto the classical elasticity, additional response variables intervene, such as the normal derivative of thedisplacements on the boundary, and the work-coniugate double tractions. The fundamental solutions - featuringa fourth order partial differential equations (PDEs) system - exhibit singularities which in 2D may be of theorder 1/ r 4 .New techniques are developed, which allow the elimination of most of the latter singularities.The present paper has to be intended as a research communication wherein some results, being elaboratedwithin a more general paper [1], are reported.
Authors and Affiliations
S. Terravecchia, T. Panzeca, C. Polizzotto
Keywords
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- EP ID EP147404
- DOI 10.3221/IGF-ESIS.29.07
- Views 68
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