Strain gradient elasticity within the symmetric BEM formulation
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 norm...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2014-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1239 |
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| author | S. Terravecchia T. Panzeca C. Polizzotto |
| author_facet | S. Terravecchia T. Panzeca C. Polizzotto |
| author_sort | S. Terravecchia |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-550f9f19fedd491e9f203dad677b764d |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-550f9f19fedd491e9f203dad677b764d2025-01-03T01:03:07ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932014-07-01829Strain gradient elasticity within the symmetric BEM formulationS. Terravecchia0T. Panzeca1C. Polizzotto2University of PalermoUniversity of PalermoUniversity of PalermoThe 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.https://www.fracturae.com/index.php/fis/article/view/1239Symmetric Galerkin BEM |
| spellingShingle | S. Terravecchia T. Panzeca C. Polizzotto Strain gradient elasticity within the symmetric BEM formulation Fracture and Structural Integrity Symmetric Galerkin BEM |
| title | Strain gradient elasticity within the symmetric BEM formulation |
| title_full | Strain gradient elasticity within the symmetric BEM formulation |
| title_fullStr | Strain gradient elasticity within the symmetric BEM formulation |
| title_full_unstemmed | Strain gradient elasticity within the symmetric BEM formulation |
| title_short | Strain gradient elasticity within the symmetric BEM formulation |
| title_sort | strain gradient elasticity within the symmetric bem formulation |
| topic | Symmetric Galerkin BEM |
| url | https://www.fracturae.com/index.php/fis/article/view/1239 |
| work_keys_str_mv | AT sterravecchia straingradientelasticitywithinthesymmetricbemformulation AT tpanzeca straingradientelasticitywithinthesymmetricbemformulation AT cpolizzotto straingradientelasticitywithinthesymmetricbemformulation |