A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates

J. L. Mantari; C. Guedes Soares

doi:10.1007/s00707-014-1192-3

A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates

J. L. Mantari
, C. Guedes Soares

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

26 Scopus citations

Abstract

A so far unavailable quasi-3D trigonometric shear deformation theory for the bending analysis of functionally graded plates is presented. This theory considers the thickness-stretching effect ((Formula presented.)) by modeling the displacement field with just four unknowns and rich trigonometric shear strain shape functions. The principle of virtual works is used to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, first-order shear deformation theory (FSDT), and other quasi-3D HSDTs. In conclusion, this theory is more accurate than the CPT and FSDT and behaves as well as quasi-3D HSDTs having much less number of unknowns.

Original language	English
Pages (from-to)	625-642
Number of pages	18
Journal	Acta Mechanica
Volume	226
Issue number	3
DOIs	https://doi.org/10.1007/s00707-014-1192-3
State	Published - Mar 2015
Externally published	Yes

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title = "A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates",

abstract = "A so far unavailable quasi-3D trigonometric shear deformation theory for the bending analysis of functionally graded plates is presented. This theory considers the thickness-stretching effect ((Formula presented.)) by modeling the displacement field with just four unknowns and rich trigonometric shear strain shape functions. The principle of virtual works is used to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, first-order shear deformation theory (FSDT), and other quasi-3D HSDTs. In conclusion, this theory is more accurate than the CPT and FSDT and behaves as well as quasi-3D HSDTs having much less number of unknowns.",

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

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doi = "10.1007/s00707-014-1192-3",

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T1 - A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates

AU - Mantari, J. L.

AU - Soares, C. Guedes

PY - 2015/3

Y1 - 2015/3

N2 - A so far unavailable quasi-3D trigonometric shear deformation theory for the bending analysis of functionally graded plates is presented. This theory considers the thickness-stretching effect ((Formula presented.)) by modeling the displacement field with just four unknowns and rich trigonometric shear strain shape functions. The principle of virtual works is used to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, first-order shear deformation theory (FSDT), and other quasi-3D HSDTs. In conclusion, this theory is more accurate than the CPT and FSDT and behaves as well as quasi-3D HSDTs having much less number of unknowns.

AB - A so far unavailable quasi-3D trigonometric shear deformation theory for the bending analysis of functionally graded plates is presented. This theory considers the thickness-stretching effect ((Formula presented.)) by modeling the displacement field with just four unknowns and rich trigonometric shear strain shape functions. The principle of virtual works is used to derive the governing equations and boundary conditions. Results from this theory are compared with the CPT, first-order shear deformation theory (FSDT), and other quasi-3D HSDTs. In conclusion, this theory is more accurate than the CPT and FSDT and behaves as well as quasi-3D HSDTs having much less number of unknowns.

UR - https://www.scopus.com/pages/publications/84924222058

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DO - 10.1007/s00707-014-1192-3

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VL - 226

SP - 625

EP - 642

JO - Acta Mechanica

JF - Acta Mechanica

IS - 3

ER -

A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates

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