Numerical analysis of dielectrics in powerful electrical fields
Abstract
The limiting analysis problem for dielectrics in nonhomogeneous powerful electrical fields is considered. In the framework of this problem the external charges for which the appropriate electrostatical variational problem has no solution are calculated, that solution is treated as a beginning of the electrical puncture of dielectric. From the mathematical point of view the limiting analysis problem is non-correct and needs a relaxation. This is achieved using a partial relaxation based on a special discontinuous finite-element approximation.
Keywords
References
[1] I. A. Brigadnov. Existence theorems for boundary value problems of hyperelasticity. Sbornik: Mathematics, 187(1): 1- 14, 1996.[2] I. A. Brigadnov. Numerical methods in non-linear elasticity. In: J.-A. Desideri, P. Le Tallec, E. Onate, J. Periaux, E. Stein, eds., Numerical Methods in Engineering'96, 158- 163. John Wiley & Sons Ltd, Chichester, 1996.
[3] I. A. Brigadnov. Discontinuous solutions and their finite element approximation in non-linear elasticity. In: R. Van Keer, B. Verhegghe, M. Hogge, E. Noldus, eds., Advanced Computational Methods in Engineering '98, 141-148, Maastricht, Shaker Publishing B.V., 1998.
[4] I. A. Brigadnov. Conditions of absence of electrostatical boundary-value problem solution as the puncture conditions of dielectrics. Technical Physics, to appear, 2000.
[5] Ph.G. Ciarlet. The Finite Element Method for Elliptic Problems. North-Holland Publ. Co., Amsterdam, 1980.
Published
Mar 2, 2023
How to Cite
BRIGADNOV, Igor A..
Numerical analysis of dielectrics in powerful electrical fields.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 8, n. 2-3, p. 227-234, mar. 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1166>. Date accessed: 23 dec. 2024.
Issue
Section
Articles
This work is licensed under a Creative Commons Attribution 4.0 International License.