Orders of singularity at wedge apices: the computer algebra approach
We illustrate the possibilities of computer algebra systems in performing the necessary tedious and, manually, error-prone symbolic computations during the determination of the orders of singularity at wedge apices in plane elasticity. The cases of the first, second and mixed fundamental problems fo...
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| Γλώσσα: | English |
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Pergamon Press
2024
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| Διαθέσιμο Online: | https://hdl.handle.net/10889/26421 https://doi.org/10.1016/0013-7944(91)90014-R |
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nemertes-10889-264212024-01-22T05:04:24Z Orders of singularity at wedge apices: the computer algebra approach Ioakimidis, Nikolaos We illustrate the possibilities of computer algebra systems in performing the necessary tedious and, manually, error-prone symbolic computations during the determination of the orders of singularity at wedge apices in plane elasticity. The cases of the first, second and mixed fundamental problems for a simple wedge as well as the case of the first fundamental problem for a double wedge were used as examples of the approach (together with two special cases in crack problems). The rather elementary (yet powerful) computer algebra system DERIVE was used in the present formal computations. 2024-01-21T19:52:53Z 2024-01-21T19:52:53Z 1991 https://hdl.handle.net/10889/26421 https://doi.org/10.1016/0013-7944(91)90014-R en application/pdf Pergamon Press |
| institution |
UPatras |
| collection |
Nemertes |
| language |
English |
| description |
We illustrate the possibilities of computer algebra systems in performing the necessary tedious and, manually, error-prone symbolic computations during the determination of the orders of singularity at wedge apices in plane elasticity. The cases of the first, second and mixed fundamental problems for a simple wedge as well as the case of the first fundamental problem for a double wedge were used as examples of the approach (together with two special cases in crack problems). The rather elementary (yet powerful) computer algebra system DERIVE was used
in the present formal computations. |
| author |
Ioakimidis, Nikolaos |
| spellingShingle |
Ioakimidis, Nikolaos Orders of singularity at wedge apices: the computer algebra approach |
| author_facet |
Ioakimidis, Nikolaos |
| author_sort |
Ioakimidis, Nikolaos |
| title |
Orders of singularity at wedge apices: the computer algebra approach |
| title_short |
Orders of singularity at wedge apices: the computer algebra approach |
| title_full |
Orders of singularity at wedge apices: the computer algebra approach |
| title_fullStr |
Orders of singularity at wedge apices: the computer algebra approach |
| title_full_unstemmed |
Orders of singularity at wedge apices: the computer algebra approach |
| title_sort |
orders of singularity at wedge apices: the computer algebra approach |
| publisher |
Pergamon Press |
| publishDate |
2024 |
| url |
https://hdl.handle.net/10889/26421 https://doi.org/10.1016/0013-7944(91)90014-R |
| work_keys_str_mv |
AT ioakimidisnikolaos ordersofsingularityatwedgeapicesthecomputeralgebraapproach |
| _version_ |
1799945011314294784 |
