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A state space finite element for laminated composite plates

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A state space finite element for laminated composite plates. / Sheng, H Y ; Ye, J Q .
In: Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 37-38, 16.08.2002, p. 4259-4276.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Sheng, HY & Ye, JQ 2002, 'A state space finite element for laminated composite plates', Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 37-38, pp. 4259-4276. https://doi.org/10.1016/S0045-7825(02)00379-1

APA

Sheng, H. Y., & Ye, J. Q. (2002). A state space finite element for laminated composite plates. Computer Methods in Applied Mechanics and Engineering, 191(37-38), 4259-4276. https://doi.org/10.1016/S0045-7825(02)00379-1

Vancouver

Sheng HY, Ye JQ. A state space finite element for laminated composite plates. Computer Methods in Applied Mechanics and Engineering. 2002 Aug 16;191(37-38):4259-4276. doi: 10.1016/S0045-7825(02)00379-1

Author

Sheng, H Y ; Ye, J Q . / A state space finite element for laminated composite plates. In: Computer Methods in Applied Mechanics and Engineering. 2002 ; Vol. 191, No. 37-38. pp. 4259-4276.

Bibtex

@article{8ad75b88612e4bc4b6d1ab31c78de40d,
title = "A state space finite element for laminated composite plates",
abstract = "This paper presents a semi-analytical finite element solution for the stress analysis of cross-ply laminated composite plates. The method is based on a mixed variational principle that includes the variations of both displacements and stresses. Finite element approximation is introduced only for the in-plane variations of displacements and stresses, while the through-thickness distributions of them are obtained by using the method of state equation. Numerical tests show that the results obtained approach the analytical three-dimensional solutions. Moreover, the use of the recursive formulation of the state equation leads to the solution of an algebra equation system whose order does not depend on the number of material layers of the laminate. Compared with the traditional finite element method, the new solution always provides continuous distributions of both displacements and transverse stresses across material interfaces. ",
keywords = "Laminated plate, Finite element , Three-dimensional elasticity , State equation , Mixed variational method , Interface stresses",
author = "Sheng, {H Y} and Ye, {J Q}",
year = "2002",
month = aug,
day = "16",
doi = "10.1016/S0045-7825(02)00379-1",
language = "English",
volume = "191",
pages = "4259--4276",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "37-38",

}

RIS

TY - JOUR

T1 - A state space finite element for laminated composite plates

AU - Sheng, H Y

AU - Ye, J Q

PY - 2002/8/16

Y1 - 2002/8/16

N2 - This paper presents a semi-analytical finite element solution for the stress analysis of cross-ply laminated composite plates. The method is based on a mixed variational principle that includes the variations of both displacements and stresses. Finite element approximation is introduced only for the in-plane variations of displacements and stresses, while the through-thickness distributions of them are obtained by using the method of state equation. Numerical tests show that the results obtained approach the analytical three-dimensional solutions. Moreover, the use of the recursive formulation of the state equation leads to the solution of an algebra equation system whose order does not depend on the number of material layers of the laminate. Compared with the traditional finite element method, the new solution always provides continuous distributions of both displacements and transverse stresses across material interfaces. 

AB - This paper presents a semi-analytical finite element solution for the stress analysis of cross-ply laminated composite plates. The method is based on a mixed variational principle that includes the variations of both displacements and stresses. Finite element approximation is introduced only for the in-plane variations of displacements and stresses, while the through-thickness distributions of them are obtained by using the method of state equation. Numerical tests show that the results obtained approach the analytical three-dimensional solutions. Moreover, the use of the recursive formulation of the state equation leads to the solution of an algebra equation system whose order does not depend on the number of material layers of the laminate. Compared with the traditional finite element method, the new solution always provides continuous distributions of both displacements and transverse stresses across material interfaces. 

KW - Laminated plate

KW - Finite element

KW - Three-dimensional elasticity

KW - State equation

KW - Mixed variational method

KW - Interface stresses

U2 - 10.1016/S0045-7825(02)00379-1

DO - 10.1016/S0045-7825(02)00379-1

M3 - Journal article

VL - 191

SP - 4259

EP - 4276

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

IS - 37-38

ER -