Senjanović, Ivo and Vladimir, Nikola and Hadžić, Neven
(2014)
*Modified Mindlin plate theory and shear locking-free finite element formulation.*
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*Modified Mindlin plate theory and shear locking-free finite element formulation.*
Mechanics Research Communications, 55.
pp. 95-104.
ISSN 0093-6413.
Vrsta rada: ["eprint_fieldopt_article_type_article" not defined].
Kvartili JCR: Q2 (2014).
Točan broj autora: 3.

## Abstract

The basic equations of the Mindlin theory are specified as starting point for its modification in which total deflection and rotations are split into pure bending deflection and shear deflection with bending angles of rotation, and in-plane shear angles. The equilibrium equations of the former displacement field are split into one partial differential equation for flexural vibrations. In the latter case two differential equations for in-plane shear vibrations are obtained, which are similar to the well-known membrane equations. Rectangular shear locking-free finite element for flexural vibrations is developed. For in-plane shear vibrations ordinary membrane finite elements can be used. Application of the modified Mindlin theory is illustrated in a case of simply supported square plate. Problems are solved analytically and by FEM and the obtained results are compared with the relevant ones available in the literature.

Item Type: | Article (["eprint_fieldopt_article_type_article" not defined]) |
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Keywords (Croatian): | Displacement field; Equilibrium equation; Flexural vibrations; Locking-free finite elements; Membrane equations; Shear deflections; Shear vibrations; Shear-locking; Bending (forming); Finite element method; Mindlin plates; Partial differential equations; Locks (fasteners) |

Subjects: | TECHNICAL SCIENCE > Shipbuilding TECHNICAL SCIENCE > Mechanical Engineering |

Divisions: | 600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design 600 Department of Naval Engineering and Marine Technology > 650 Chair of Marine Machinery and System Design |

Indexed in Web of Science: | Yes |

Indexed in Current Contents: | Yes |

Quartiles: | Q2 (2014) |

Date Deposited: | 27 May 2015 11:48 |

Last Modified: | 08 Dec 2017 13:26 |

URI: | http://repozitorij.fsb.hr/id/eprint/4270 |

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