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Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107146
Abstract: Abstract We establish new recurrence and multiple recurrence results for a rather large family F of non-polynomial functions which contains tempered functions and (non-polynomial) functions from a Hardy field with polynomial growth. In particular, we…
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Keywords:
non polynomial;
recurrence;
single multiple;
along non ... See more keywords
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Published in 2021 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2021.106635
Abstract: Abstract In this paper, the geometrically nonlinear bending analysis of multilayered composite plates is carried out through a rigorous comparative study employing Green-Lagrange and von Karman nonlinearity. The responses are analyzed for various transverse loads…
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Keywords:
geometrically nonlinear;
analysis multilayered;
multilayered composite;
polynomial shear ... See more keywords
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Published in 2017 at "Composite Structures"
DOI: 10.1016/j.compstruct.2017.09.029
Abstract: Abstract In the present work, a new non-polynomial shear deformation theory having four variables is developed and assessed for hygro-thermo-mechanical response of laminated composite plates. An inverse hyperbolic function of thickness coordinate is used in…
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Keywords:
deformation theory;
new non;
non polynomial;
shear deformation ... See more keywords
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Published in 2021 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.113533
Abstract: Abstract In the present article, the couple stress models in the non-polynomial framework are developed and employed to examine the structural response characteristics of composite micro-plates. The length scale effects in the micro-laminates are considered…
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Keywords:
micro plates;
composite micro;
couple stress;
micro ... See more keywords
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Published in 2020 at "Engineering Structures"
DOI: 10.1016/j.engstruct.2019.109678
Abstract: Abstract This paper presents Best Theory Diagrams (BTDs) constructed from non-polynomial terms to identify best shell theories for bending analysis of cross-ply single skin and sandwich shell panels. This structure presents a constant radii of…
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Keywords:
non polynomial;
single skin;
ply single;
skin sandwich ... See more keywords
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Published in 2019 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2018.1553259
Abstract: Abstract In the current work, a higher order non-polynomial theory based upon nonlinear distribution of transverse shear stresses along the plate thickness is employed to apprehend the geometrically nonlinear free vibration of laminated composite plates.…
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Keywords:
nonlinear free;
non polynomial;
geometrically nonlinear;
higher order ... See more keywords
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Published in 2021 at "Entropy"
DOI: 10.3390/e23121624
Abstract: We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use…
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Keywords:
non linear;
polynomial non;
simple equations;
non linearity ... See more keywords