Four-unknown quasi-3D shear deformation theory for advanced composite plates

J. L. Mantari; C. Guedes Soares

doi:10.1016/j.compstruct.2013.10.047

Four-unknown quasi-3D shear deformation theory for advanced composite plates

J. L. Mantari
, C. Guedes Soares

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

In this paper a 4-unknown quasi-3D shear deformation theory for the static analysis of advanced composite plates is presented. The beauty of this theory is that, in addition to including the thickness stretching effect (e_zz≠. 0), the displacement field is modeled with only 4 unknowns, which is even less than the first order shear deformation theory (FSDT). The principle of virtual work is employed to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, FSDT, and other quasi-3D HSDTs. As conclusion, this theory is as accurate as other quasi-3D HSDTs with higher number of unknowns and so it becomes more attractive due to smaller number of unknowns.

Original language	English
Pages (from-to)	231-239
Number of pages	9
Journal	Composite Structures
Volume	109
Issue number	1
DOIs	https://doi.org/10.1016/j.compstruct.2013.10.047
State	Published - Mar 2014
Externally published	Yes

Keywords

Bending analysis
Functionally graded materials
Higher order shear deformation theory
Stretching effect
Trigonometric plate theory

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10.1016/j.compstruct.2013.10.047

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title = "Four-unknown quasi-3D shear deformation theory for advanced composite plates",

abstract = "In this paper a 4-unknown quasi-3D shear deformation theory for the static analysis of advanced composite plates is presented. The beauty of this theory is that, in addition to including the thickness stretching effect (ezz≠. 0), the displacement field is modeled with only 4 unknowns, which is even less than the first order shear deformation theory (FSDT). The principle of virtual work is employed to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, FSDT, and other quasi-3D HSDTs. As conclusion, this theory is as accurate as other quasi-3D HSDTs with higher number of unknowns and so it becomes more attractive due to smaller number of unknowns.",

keywords = "Bending analysis, Functionally graded materials, Higher order shear deformation theory, Stretching effect, Trigonometric plate theory",

author = "Mantari, \{J. L.\} and \{Guedes Soares\}, C.",

note = "Funding Information: The first author has been financed by the Portuguese Foundation of Science and Technology under the Contract number SFRH/BPD/91210/2012. The first author would like to thank his wife (Lizbeth Cuba) for her understanding and also to Guillermo Vasquez for his strong support. ",

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doi = "10.1016/j.compstruct.2013.10.047",

language = "English",

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AU - Mantari, J. L.

AU - Guedes Soares, C.

N1 - Funding Information: The first author has been financed by the Portuguese Foundation of Science and Technology under the Contract number SFRH/BPD/91210/2012. The first author would like to thank his wife (Lizbeth Cuba) for her understanding and also to Guillermo Vasquez for his strong support.

PY - 2014/3

Y1 - 2014/3

N2 - In this paper a 4-unknown quasi-3D shear deformation theory for the static analysis of advanced composite plates is presented. The beauty of this theory is that, in addition to including the thickness stretching effect (ezz≠. 0), the displacement field is modeled with only 4 unknowns, which is even less than the first order shear deformation theory (FSDT). The principle of virtual work is employed to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, FSDT, and other quasi-3D HSDTs. As conclusion, this theory is as accurate as other quasi-3D HSDTs with higher number of unknowns and so it becomes more attractive due to smaller number of unknowns.

AB - In this paper a 4-unknown quasi-3D shear deformation theory for the static analysis of advanced composite plates is presented. The beauty of this theory is that, in addition to including the thickness stretching effect (ezz≠. 0), the displacement field is modeled with only 4 unknowns, which is even less than the first order shear deformation theory (FSDT). The principle of virtual work is employed to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, FSDT, and other quasi-3D HSDTs. As conclusion, this theory is as accurate as other quasi-3D HSDTs with higher number of unknowns and so it becomes more attractive due to smaller number of unknowns.

KW - Bending analysis

KW - Functionally graded materials

KW - Higher order shear deformation theory

KW - Stretching effect

KW - Trigonometric plate theory

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DO - 10.1016/j.compstruct.2013.10.047

M3 - Article

AN - SCOPUS:84890871640

SN - 0263-8223

VL - 109

SP - 231

EP - 239

JO - Composite Structures

JF - Composite Structures

IS - 1

ER -

Four-unknown quasi-3D shear deformation theory for advanced composite plates

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Keywords

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