Numerical solutions of the Von Karman equations for a thin plate

Journal Article · Tue Apr 01 00:00:00 EST 1997 · International Journal of Modern Physics C

DOI:https://doi.org/10.1142/S0129183197000357· OSTI ID:482198

Da Silva, P P; Krauth, W ^[1]

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1. CNRS-Laboratoire de Physique Statistique de l`ENS, Paris (France)

In this paper, we present an algorithm for the solution of the von Karman equations of elasticity theory and related problems. Our method of successive reconditioning is able to avoid convergence problems at any ratio of the nonlinear stretching and the pure bending energies. We illustrate the power of the method by numerical calculations of pinched or compressed plates subject to fixed boundaries.

• Sponsoring Organization: USDOE
• OSTI ID: 482198
• Journal Information: International Journal of Modern Physics C, Vol. 8, Issue 2; Other Information: PBD: Apr 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
ELASTICITY
PARTIAL DIFFERENTIAL EQUATIONS
PLATES
FINITE ELEMENT METHOD
ALGORITHMS
DEFORMATION