1951•Journal of Applied MechanicsRequires access

Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates

R. D. Mindlin

Abstract

Abstract A two-dimensional theory of flexural motions of isotropic, elastic plates is deduced from the three-dimensional equations of elasticity. The theory includes the effects of rotatory inertia and shear in the same manner as Timoshenko’s one-dimensional theory of bars. Velocities of straight-crested waves are computed and found to agree with those obtained from the three-dimensional theory. A uniqueness theorem reveals that three edge conditions are required.

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Key concepts: Isotropy, Elasticity (physics), Uniqueness, Shear (geology), Inertia, Classical mechanics, Flexural strength, Physics