Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution
The problem of determining the electro-elastic fields around arbitrarily oriented planar cracks in an infinite piezoelectric space is considered. The cracks which are acted upon by a transient load are either electrically impermeable or permeable. A semi-analytic method based on the theory of expone...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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2011
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| Online Access: | https://hdl.handle.net/10356/94367 http://hdl.handle.net/10220/7284 |
| _version_ | 1811687925548580864 |
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| author | Ang, Whye Teong Athanasius, Louis Commillus |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Ang, Whye Teong Athanasius, Louis Commillus |
| author_sort | Ang, Whye Teong |
| collection | NTU |
| description | The problem of determining the electro-elastic fields around arbitrarily oriented planar cracks in an infinite piezoelectric space is considered. The cracks which are acted upon by a transient load are either electrically impermeable or permeable. A semi-analytic method based on the theory of exponential Fourier transformation is proposed for solving the problem in the Laplace transform domain. The Laplace transforms of the jumps in the displacements and electric potential across opposite crack faces are determined by solving a system of hypersingular integral equations. Once these displacement and electric potential jumps are obtained, the displacements and electric potential and other physical quantities of interest, such as the crack tip stress and electric displacement intensity factors, can be computed with the help of a suitable algorithm for inverting Laplace transforms. The stress and electric displacement intensity factors are computed for some specific cases of the problem. |
| first_indexed | 2024-10-01T05:24:03Z |
| format | Journal Article |
| id | ntu-10356/94367 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:24:03Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/943672023-03-04T17:18:25Z Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution Ang, Whye Teong Athanasius, Louis Commillus School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mathematics and analysis The problem of determining the electro-elastic fields around arbitrarily oriented planar cracks in an infinite piezoelectric space is considered. The cracks which are acted upon by a transient load are either electrically impermeable or permeable. A semi-analytic method based on the theory of exponential Fourier transformation is proposed for solving the problem in the Laplace transform domain. The Laplace transforms of the jumps in the displacements and electric potential across opposite crack faces are determined by solving a system of hypersingular integral equations. Once these displacement and electric potential jumps are obtained, the displacements and electric potential and other physical quantities of interest, such as the crack tip stress and electric displacement intensity factors, can be computed with the help of a suitable algorithm for inverting Laplace transforms. The stress and electric displacement intensity factors are computed for some specific cases of the problem. Accepted version 2011-10-17T04:03:04Z 2019-12-06T18:54:59Z 2011-10-17T04:03:04Z 2019-12-06T18:54:59Z 2011 2011 Journal Article Ang, W. T., & Athanasius, L. C. (2011). Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: a semi-analytic solution. European Journal of Mechanics - A/Solids, 30(4), 608-618. 0997-7538 https://hdl.handle.net/10356/94367 http://hdl.handle.net/10220/7284 10.1016/j.euromechsol.2011.03.003 en European journal of mechanics-A/solids © 2011 Elsevier Masson SAS This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Mechanics-A/Solids, © 2011 Elsevier Masson SAS. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: http://dx.doi.org/10.1016/j.euromechsol.2011.03.003 38 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mathematics and analysis Ang, Whye Teong Athanasius, Louis Commillus Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title | Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title_full | Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title_fullStr | Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title_full_unstemmed | Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title_short | Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution |
| title_sort | dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space a semi analytic solution |
| topic | DRNTU::Engineering::Mathematics and analysis |
| url | https://hdl.handle.net/10356/94367 http://hdl.handle.net/10220/7284 |
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