Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mechanica"
DOI: 10.1007/s00707-017-1890-8
Abstract: This paper deals with the exact calculation of natural frequencies of a plate with two opposite edges simply supported considering three versions of the Uflyand–Mindlin plate theory: the original Uflyand–Mindlin plate theory, the truncated version… read more here.
Keywords: mindlin plate; vibration analysis; plate theory; free vibration ... See more keywords
Elastic buckling of nanoplates based on general third-order shear deformable plate theory including both size effects and surface effects
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Mechanics and Materials in Design"
DOI: 10.1007/s10999-021-09545-x
Abstract: A unified plate model predicting the buckling behaviors is proposed by incorporating both surface and size effects into the general third-order plate theory (GTPT). From the minimum potential energy principle, the governing equations are implemented… read more here.
Keywords: order; size effects; plate theory; surface effects ... See more keywords
Differences between plate theory and lumped element model in electrostatic analysis of one-sided and two-sided CMUTs with circular microplates
Sign Up to like & getrecommendations! Published in 2020 at "Journal of The Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-020-02551-8
Abstract: An analytical study of capacitive micromachined ultrasonic transducers (CMUTs) with circular microplates has been carried out. The study comprises one-sided (single electrode back-plate) and two-sided (double electrode back-plate) systems, and derives universal correction factors for… read more here.
Keywords: one sided; theory; analysis; plate theory ... See more keywords
Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2021.113986
Abstract: Abstract It was reported both in experiments and computations using some classical plate theories that wrinkles can appear in a uniaxially stretched rectangular hyperelastic film with clamped–clamped boundaries and can be suppressed upon further tension.… read more here.
Keywords: finite strain; strain plate; consistent finite; plate theory ... See more keywords
An accurate higher order plate theory for vibrations of cross-laminated timber panels
Sign Up to like & getrecommendations! Published in 2020 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.112017
Abstract: Abstract In this contribution, bending vibrations of cross-laminated timber (CLT) panels are addressed. The focus is on the low to mid audio frequency range in view of the sound radiation properties of CLT. To this… read more here.
Keywords: vibrations cross; laminated timber; theory; plate theory ... See more keywords
Predication of the in-plane mechanical properties of continuous carbon fibre reinforced 3D printed polymer composites using classical laminated-plate theory
Sign Up to like & getrecommendations! Published in 2020 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.113226
Abstract: Abstract In this study in-plane mechanical properties of continuous carbon fibre reinforced thermoplastic polyamide composite manufactured using a Markforged Two 3D printing system was evaluated and compared against predicted values from classical laminated-plate theory. Strength,… read more here.
Keywords: fibre; classical laminated; plate theory; laminated plate ... See more keywords
Bending analysis of FG plates using a general third-order plate theory with modified couple stress effect and MLPG method
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.06.015
Abstract: Abstract Meshless local Petrov–Galerkin analysis of functionally graded plates based on a general third-order shear deformation plate theory with a modified couple stress effect is presented. Governing equations of problem are a fourth-order partial differential… read more here.
Keywords: order; analysis; plate theory; third order ... See more keywords
On a uniformly-valid asymptotic plate theory
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Non-Linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2019.02.011
Abstract: Abstract A uniformly-valid plate theory, independent of the magnitudes of applied loads, is derived based on the two-dimensional plate theory obtained from series expansions about the bottom surface of a plate. For five different magnitudes… read more here.
Keywords: plate theory; valid asymptotic; valid plate; uniformly valid ... See more keywords
An incremental plate theory for polymer gels in equilibrium
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics Research Communications"
DOI: 10.1016/j.mechrescom.2019.03.001
Abstract: Abstract Based on the finite-strain plate theory derived by one of the authors, an incremental plate theory for deformations superimposed on a general base state is formulated in this paper. The unknown functions of the… read more here.
Keywords: theory; plate theory; polymer gels; incremental plate ... See more keywords
Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: An analytical approach
Sign Up to like & getrecommendations! Published in 2017 at "Thin-walled Structures"
DOI: 10.1016/j.tws.2017.08.003
Abstract: Abstract In this paper, the free vibration analysis of rectangular plates composed of functionally graded materials with porosities is investigated based on a simple first-order shear deformation plate theory. The network of pores in assumed… read more here.
Keywords: plates porosities; functionally graded; plate theory; natural frequencies ... See more keywords
Development of the consistent second-order plate theory for transversely isotropic plates and its analytical assessment from the three-dimensional perspective
Sign Up to like & getrecommendations! Published in 2021 at "Thin-walled Structures"
DOI: 10.1016/j.tws.2021.107704
Abstract: Abstract In this paper, the consistent second-order plate theory is developed for transversely isotropic plates. It is validated against the three-dimensional elasticity theory using a well-known benchmark problem of a simply-supported rectangular plate subjected to… read more here.
Keywords: consistent second; plate theory; transversely isotropic; isotropic plates ... See more keywords