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- W1986920605 abstract "The method of generalized coordinates is extended to the analysis of continuous bodies for which the degrees of freedom are independent velocity distributions in the spatial coordinates. The corresponding Lagrange equations contain generalized convective terms as well as the usual generalized forces and masses. Since the existence of a potential is not assumed, the equations of motion can be applied to media with arbitrary (possible dissipative) constitutive laws. Material deformation is characterized by the rate of strain, which is taken as the symmetric part of the velocity gradient, making the approach valid for arbitrarily large deformations. As an example, infinitesimal Rayleigh–Taylor instability is considered by analytic methods. Then, large amplitude Rayleigh–Taylor instability is represented with a single-degree-of-freedom analysis that shows the development (by numerical integration) of the known spike-and-bubble configuration of the unstable interface. The infinitesimal stability of a plastically deforming solid and the growth of the instability to large amplitudes are also considered." @default.
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- W1986920605 date "1978-05-01" @default.
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- W1986920605 title "Method of generalized coordinates and an application to Rayleigh–Taylor instability" @default.
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- W1986920605 doi "https://doi.org/10.1063/1.862291" @default.
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