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 no...
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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: | http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_7.pdf |
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| _version_ | 1850056523012636672 |
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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-53dac19becda4bcaa3fd29a8d09276a4 |
| institution | DOAJ |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-53dac19becda4bcaa3fd29a8d09276a42025-08-20T02:51:40ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932014-07-01829617310.3221/IGF-ESIS.29.07Strain gradient elasticity within the symmetric BEM formulationS. Terravecchia,T. PanzecaC. PolizzottoThe 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.http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_7.pdfStrain gradient elasticity; Symmetric Galerkin BEM. |
| spellingShingle | S. Terravecchia, T. Panzeca C. Polizzotto Strain gradient elasticity within the symmetric BEM formulation Fracture and Structural Integrity Strain gradient elasticity; 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 | Strain gradient elasticity; Symmetric Galerkin BEM. |
| url | http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_7.pdf |
| work_keys_str_mv | AT sterravecchia straingradientelasticitywithinthesymmetricbemformulation AT tpanzeca straingradientelasticitywithinthesymmetricbemformulation AT cpolizzotto straingradientelasticitywithinthesymmetricbemformulation |