Reduced Variational Formulations in Free Boundary Continuum Mechanics

We present the material, spatial, and convective representations for elasticity and fluids with a free boundary from the Lagrangian reduction point of view, using the material and spatial symmetries of these systems. The associated constrained variational principles are formulated and the resulting equations of motion are deduced. In addition, we introduce general free boundary continua that contain both elasticity and free boundary hydrodynamics, extend for them various classical notions, and present the constrained variational principles and the equations of motion in the three representations.


Published in:
Journal Of Nonlinear Science, 22, 4, 463-497
Year:
2012
Publisher:
New York, Springer Verlag
ISSN:
0938-8974
Keywords:
Laboratories:




 Record created 2013-02-27, last modified 2018-09-13


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