Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 8, No. 29 (2014)

Strain gradient elasticity within the symmetric BEM formulation

Author and affiliation details
DOI
10.3221/IGF-ESIS.29.07
Pages
pages 61-73
Published
Published inVol. 8, No. 29 (2014)Go to the issue

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/ 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 elaborated within a more general paper [1], are reported.

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 0 days
  3. Published

How to cite

APA

Terravecchia, S., Panzeca, T., & Polizzotto, C. (2014). Strain gradient elasticity within the symmetric BEM formulation. Fracture and Structural Integrity, 8(29), pages 61–73. https://doi.org/10.3221/IGF-ESIS.29.07

IEEE

S. Terravecchia, T. Panzeca, and C. Polizzotto, “Strain gradient elasticity within the symmetric BEM formulation,” Fracture and Structural Integrity, vol. 8, no. 29, pp. pages 61–73, 2014, doi: 10.3221/IGF-ESIS.29.07.

MLA

Terravecchia, S., et al. “Strain gradient elasticity within the symmetric BEM formulation.” Fracture and Structural Integrity, vol. 8, no. 29, 2014, pp. pages 61–73. https://doi.org/10.3221/IGF-ESIS.29.07.

Chicago

Terravecchia, S., T. Panzeca, and C. Polizzotto. 2014. “Strain gradient elasticity within the symmetric BEM formulation.” Fracture and Structural Integrity 8 (29): pages 61–73. https://doi.org/10.3221/IGF-ESIS.29.07.

Harvard

Terravecchia, S., Panzeca, T. and Polizzotto, C. (2014) ‘Strain gradient elasticity within the symmetric BEM formulation’, Fracture and Structural Integrity, 8(29), pp. pages 61–73. doi: 10.3221/IGF-ESIS.29.07.

Vancouver

Terravecchia S, Panzeca T, Polizzotto C. Strain gradient elasticity within the symmetric BEM formulation. Fracture and Structural Integrity. 2014;8(29):pages 61-73. doi:10.3221/IGF-ESIS.29.07

BibTeX

@article{terravecchia2014, author = {Terravecchia, S. and Panzeca, T. and Polizzotto, C.}, title = {Strain gradient elasticity within the symmetric BEM formulation}, journal = {Fracture and Structural Integrity}, year = {2014}, volume = {8}, number = {29}, pages = {pages 61--73}, doi = {10.3221/IGF-ESIS.29.07}, url = {https://doi.org/10.3221/IGF-ESIS.29.07}, issn = {1971-8993} }

RIS

TY - JOUR AU - Terravecchia, S. AU - Panzeca, T. AU - Polizzotto, C. TI - Strain gradient elasticity within the symmetric BEM formulation JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2014 DA - 2014/07/09 VL - 8 IS - 29 SP - pages 61 EP - 73 DO - 10.3221/IGF-ESIS.29.07 UR - https://doi.org/10.3221/IGF-ESIS.29.07 SN - 1971-8993 ER -

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