Restraining approach for the spurious kinematic modes in hybridequilibrium element

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The present paper proposes a rigorous approach for the elimination of spurious kinematic modes in hybridequilibrium elements, for three well known mesh patches.The approach is based on the identification of the dependentequations in the set of inter-element and boundary equilibrium equations of the sides involved in the spurious kinematic mode. Then the kinematic variables related to the dependentequations are reciprocally constrained and, by application of master slave elimination method, the set of inter-element equilibrium equations is reduced to full rank. The elasticsolutions produced by means of the proposed approach verify the homogeneous, the inter-element and the boundary equilibrium equations. Hybrid stress formulation is developed in a rigorous mathematical setting. The results of linear elastic analysis obtained by the proposed approach and byclassical displacement based method are compared for some structural examples.
Original languageEnglish
Pages (from-to)885-901
Number of pages17
JournalDefault journal
Volume52
Publication statusPublished - 2013

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Kinematics
Elimination
Patch
Mesh
Verify
Formulation

All Science Journal Classification (ASJC) codes

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Cite this

Restraining approach for the spurious kinematic modes in hybridequilibrium element. / Parrinello, Francesco.

In: Default journal, Vol. 52, 2013, p. 885-901.

Research output: Contribution to journalArticle

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