A Lagrangian formulation for continuous media |
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| Authors: | MG Marietta GW Swan |
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| Institution: | Mech. Engng. Dept., Washington State University, Pullman, Washington, U.S.A;Aerospace and Mech. Engng. Dept., University of Arizona, Tucson, Arizona, U.S.A |
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| Abstract: | The Lagrangian formulation for continuous media is derived from variational principles for perfectly general mechanical systems. The basic conservation laws for such systems are generated from first principles and these are all referred to general curvilinear coordinates. Specific results are catalogued for spherical and cylindrical coordinate systems. The equilibrium equations for isotropic, homogeneous, and incompressible elastic media are recovered as are some previous results of Bland. |
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