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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Ioakimidis, Nikolaos
Γλώσσα:English
Έκδοση: Pergamon Press 2024
Διαθέσιμο Online:https://hdl.handle.net/10889/26421
https://doi.org/10.1016/0013-7944(91)90014-R
Περιγραφή
Περίληψη: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.