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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Chernikov, Dmitry Olesya, I. Zhupanska |
| Copyright Year | 2014 |
| Abstract | This paper will present a numerical method for solving fully coupled dynamic problems of the mechanical behavior of electrically conductive composite plates in the presence of an electromagnetic field. The mechanical behavior of electrically conductive materials in the presence of an electromagnetic field is described by the system of nonlinear partial differential equations (PDEs), including equations of motion and Maxwell’s equations that are coupled through the Lorentz ponderomotive force. In the case of thin plates, the system of governing equations is reduced to the two-dimensional (2D) time-dependent nonlinear mixed system of hyperbolic and parabolic PDEs. This paper discusses a numerical solution method for this system, which consists of a sequential application of the Newmark finite difference time integration scheme, spatial (with respect to one coordinate) integration scheme, method of lines (MOL), quasilinearization, and a finite difference spatial integration of the obtained two-point boundary-value problem. The final solution is obtained by the application of the superposition method followed by orthonormalization. |
| File Format | |
| ISBN | 9780791846421 |
| DOI | 10.1115/IMECE2014-37377 |
| Volume Number | Volume 1: Advances in Aerospace Technology |
| Conference Proceedings | ASME 2014 International Mechanical Engineering Congress and Exposition |
| Language | English |
| Publisher Date | 2014-11-14 |
| Publisher Place | Montreal, Quebec, Canada |
| Access Restriction | Subscribed |
| Subject Keyword | Mechanical behavior Composite materials Numerical analysis Partial differential equations Dynamic analysis Plates (structures) Boundary-value problems Electromagnetic fields Equations of motion |
| Content Type | Text |
| Resource Type | Article |
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