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A state space approach to elasticity
Journal article

A state space approach to elasticity

Leon Y. Bahar
Journal of the Franklin Institute, v 299(1)
1975

Abstract

The two-dimensional, plane stress problem of linear elasticity is analyzed within a state space framework. The medium considered is homogeneous and isotropic. Vlasov's mixed formulation of elasticity is used throughout. The field equations are derived in closed form, thus avoiding Vlasov's intermediate infinite series solution. Finally, all the properties of the transfer matrix are shown to follow directly from embedding the problem into a state space setting.

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