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Erschienen in:
2014 | OriginalPaper | Buchkapitel
10. Elasticity, Variational Formulations
verfasst von : M. Reza Eslami
Erschienen in: Finite Elements Methods in Mechanics
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Abstract
The derivation of finite element equation of motion based on the variational formulation is presented in this chapter. The Hamilton principle for elastic continuum is derived and basic relations for the linear elasticity, the constitutive law, and the kinematical relations, are presented. Employing the linear shape functions for three displacement components, the elements of the mass, stiffness, and force matrices are derived. The two-dimensional plane stress and plane strain elasticity are discussed and the axisymmetric elasticity formulation follows.