Abstract
AbstractA one‐parameter family of d‐generalized hybrid/mixed variational principles for linear elasticity is constructed following a domain subdivision. The family includes the d‐generalized Hellinger‐Reissner and potential energy principles as special cases. The parametrized principle is discretized by independently varied internal displacements, stresses and boundary displacements. The resulting finite element equations are studied following a physically motivated decomposition of the stress and internal displacement fields. The free formulation of Bergan and Nygård is shown to be a special case of this element type, and is obtained by assuming a constant internal stress field. The parameter appears as a scale factor of the higher‐order stiffness.
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