Intrinsic formulations of the nonlinear Kirchhoff-Love-von Kármán plate theory
We use a special duality by perturbation in optimization to find two different bi-duals problems of the non-linear Kirchhoff-Love-von Kármán plate theory. The first gives exactly the intrinsic approach developed by P. G. Ciarlet, the second gives an intrinsic approach implied by a J.J. Telega complementary energy
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- [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
- [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
- [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]