Parametrized multifield variational principles in elasticity: II. Hybrid functionals and the free formulation Journal Article uri icon

Overview

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.

publication date

  • February 1, 1989

has restriction

  • closed

Date in CU Experts

  • January 26, 2017 2:46 AM

Full Author List

  • Felippa CA

author count

  • 1

Other Profiles

International Standard Serial Number (ISSN)

  • 0748-8025

Electronic International Standard Serial Number (EISSN)

  • 1555-2047

Additional Document Info

start page

  • 89

end page

  • 98

volume

  • 5

issue

  • 2