TITLE

Strain gradient elasticity within the symmetric BEM formulation

AUTHOR(S)
Terravecchia, S.; Panzeca, T.; Polizzotto, C.
PUB. DATE
July 2014
SOURCE
Frattura e Integrita Strutturale;2014, Vol. 8, p61
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
ABSTRACT. The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient. With respect to the classical elasticity, additional response variables intervene, such as the normal derivative of the displacements on the boundary, and the work-coniugate double tractions. The fundamental solutions - featuring a fourth order partial differential equations (PDEs) system - exhibit singularities which in 2D may be of the order 1/r4. 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 elaborated within a more general paper [1], are reported.
ACCESSION #
97105876

 

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