Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals
Representations in a closed form are derived, using an extension to the method of dislocation layers, for the phonon and phason stress and electric displacement components in the deformation of one-dimensional piezoelectric quasicrystals by a nonuniformly loaded stack of parallel antiplane shear cra...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/4847837 |
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| author | G. E. Tupholme |
| author_facet | G. E. Tupholme |
| author_sort | G. E. Tupholme |
| collection | DOAJ |
| description | Representations in a closed form are derived, using an extension to the method of dislocation layers, for the phonon and phason stress and electric displacement components in the deformation of one-dimensional piezoelectric quasicrystals by a nonuniformly loaded stack of parallel antiplane shear cracks. Their dependence upon the polar angle in the region close to the tip of a crack is deduced, and the field intensity factors then follow. These exhibit that the phenomenon of crack shielding is dependent upon the relative spacing of the cracks. The analogous analyses, that have not been given previously, involving non-piezoelectric or non-quasicrystalline or simply elastic materials can be straightforwardly considered as special cases. Even when the loading is uniform and the crack is embedded in a purely elastic isotropic solid, no explicit representations have been available before for the components of the field at points other than directly ahead of a crack. Typical numerical results are graphically displayed. |
| format | Article |
| id | doaj-art-be25e0efe69d46e981ad85d76b1eceb0 |
| institution | OA Journals |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-be25e0efe69d46e981ad85d76b1eceb02025-08-20T02:18:35ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422018-01-01201810.1155/2018/48478374847837Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric QuasicrystalsG. E. Tupholme0School of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UKRepresentations in a closed form are derived, using an extension to the method of dislocation layers, for the phonon and phason stress and electric displacement components in the deformation of one-dimensional piezoelectric quasicrystals by a nonuniformly loaded stack of parallel antiplane shear cracks. Their dependence upon the polar angle in the region close to the tip of a crack is deduced, and the field intensity factors then follow. These exhibit that the phenomenon of crack shielding is dependent upon the relative spacing of the cracks. The analogous analyses, that have not been given previously, involving non-piezoelectric or non-quasicrystalline or simply elastic materials can be straightforwardly considered as special cases. Even when the loading is uniform and the crack is embedded in a purely elastic isotropic solid, no explicit representations have been available before for the components of the field at points other than directly ahead of a crack. Typical numerical results are graphically displayed.http://dx.doi.org/10.1155/2018/4847837 |
| spellingShingle | G. E. Tupholme Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals Advances in Materials Science and Engineering |
| title | Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals |
| title_full | Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals |
| title_fullStr | Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals |
| title_full_unstemmed | Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals |
| title_short | Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals |
| title_sort | nonuniformly loaded stack of antiplane shear cracks in one dimensional piezoelectric quasicrystals |
| url | http://dx.doi.org/10.1155/2018/4847837 |
| work_keys_str_mv | AT getupholme nonuniformlyloadedstackofantiplaneshearcracksinonedimensionalpiezoelectricquasicrystals |