Quarterly of Applied Mathematics · 1965 · 44 citations · 3 references
EngineeringMechanical EngineeringComputational MechanicsDifferential EquationsRheologyBoundary ConditionsPlate AnalysisPlate MotionPlate TheoryViscoelastic BehaviorViscoelastic PropertiesAnisotropic Plate AnalysisAnisotropic Plate TheoryEuler EquationsEuler Equations Of MotionEuler-lagrange EquationsPlate Wave PropagationTractionViscoelastic Plate Theory
The Euler equations for (6) constitute the complete system of equations of an anisotropic plate. It is noted that the term PfM in the stress equation of motion given by ( This automatically takes care of the traction boundary conditions in the interior of the plate, while the integral over Au in (6) yields the displacement boundary conditions in the interior of the plate. In fact, (6) yields in a simple manner all conditions at the edge as well as in the interior of the plate for equations of all orders.
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A note on uniqueness in classical elastodynamics
Morton E. Gurtin, Eli Sternberg · Quarterly of Applied Mathematics · 1961 · 27 citations · Full text