Temperature and moisture effect on laminated rhombic hyperbolic paraboloid
Abhay Chaubey
abhaychaubey26@gmail.comDepartment of Civil Engineering; Koneru Lakshmaiah Education Foundation; (India)
https://orcid.org/0000-0003-4607-9765
Ajay Kumar
Department of Civil Engineering; National Institute of Technology Patna; (India)
https://orcid.org/0000-0003-0083-9052
Małgorzata Grzegorczyk-Franczak
Faculty of Civil Engineering and Architecture; Lublin University of Technology; (Poland)
https://orcid.org/0000-0002-6119-2902
Małgorzata Szafraniec
Faculty of Civil Engineering and Architecture; Lublin University of Technology; (Poland)
https://orcid.org/0000-0002-5862-9456
Abstract
The current work presents a hygrothermal analysis of laminated composite rhombic hyperbolic paraboloids. The cubic variation in displacement field together with cross curvature effects of the shell were used to solve the hygrothermal problem. Because of the parabolic variation of the transverse shear deformation, the shear correction factor was not necessary in this paper. In the mathematical model, the zero conditions of the transverse shear stress at the bottom and top of the shell were applied. The nine-noded curved isoparametric element with seven unknowns in each node was used to implement the present realistic mathematical model. The implementation of the finite element C0 (FE) of the present mathematical model was coded and performed in FORTRAN. The skew hyperbolic paraboloid on which the hygrothermal analysis was conducted had various temperatures, ply orientation, curvatures, moisture concentration, boundary conditions and thickness ratio. The paper shows that with the increase of the skew angle, the non-dimensional deflection decreases, and with the increase of moisture concentration, hygrothermal load and curvature ratio, the deflection increases. The results of the model presented in the paper were compared with other results published in the literature and were found to be consistent with them.
Keywords:
temperature, moisture concentration, laminated, skew angle, ply orientationReferences
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Authors
Abhay Chaubeyabhaychaubey26@gmail.com
Department of Civil Engineering; Koneru Lakshmaiah Education Foundation; India
https://orcid.org/0000-0003-4607-9765
Authors
Ajay KumarDepartment of Civil Engineering; National Institute of Technology Patna; India
https://orcid.org/0000-0003-0083-9052
Authors
Małgorzata Grzegorczyk-FranczakFaculty of Civil Engineering and Architecture; Lublin University of Technology; Poland
https://orcid.org/0000-0002-6119-2902
Authors
Małgorzata SzafraniecFaculty of Civil Engineering and Architecture; Lublin University of Technology; Poland
https://orcid.org/0000-0002-5862-9456
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