A new locking-free finite element method based on more consistent version of Mindlin plate equation View Full Text


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Article Info

DATE

2014-07

AUTHORS

G. Falsone, D. Settineri, I. Elishakoff

ABSTRACT

A finite element (FE) approach is presented for the dynamic analysis of the Mindlin plates considering both shear deformation and rotary inertia effects. The model is based on the consistent version of the Mindlin equations, which neglects the higher-order time derivative contribution. The approach provides a new class of interdependent Hermite shape polynomials by the definition of a fictitious deflection that takes into account the effective interdependence between the generalized displacements in both the continuous and FE discretized schemes. This implies that the proposed approach is free-shear-locking and is characterized by a good accuracy even for low-order FEs. Several examples are considered whose results are compared with analogous ones proposed in the literature with other approaches. More... »

PAGES

967-983

References to SciGraph publications

  • 2009-11-06. An Equation Both More Consistent and Simpler Than the Bresse-Timoshenko Equation in ADVANCES IN MATHEMATICAL MODELING AND EXPERIMENTAL METHODS FOR MATERIALS AND STRUCTURES
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    http://scigraph.springernature.com/pub.10.1007/s00419-014-0842-1

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    http://dx.doi.org/10.1007/s00419-014-0842-1

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    https://app.dimensions.ai/details/publication/pub.1004261174


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