Interface fracture in orthotropic composite plates using second-order shear deformation theory
A. Szekrényes
The second-order shear deformation theory is used in this study to calculate the stresses and the energy release rates in orthotropic composite plates. A novel double-plate system is utilized with the imposition of the proper kinematic constraints in the interface plane of a double-plate system. The governing equations of the system were derived and as a demonstrative example a simply-supported plate subjected to a point force was analyzed. Using Lévy plate formulation, the plate problem was solved by a state-space model, incorporating four different regions. The distribution of the stress resultants and the interlaminar stresses in the uncracked part were also determined. Moreover, the distributions of the mode-II and mode-III energy release rates along the crack front were calculated by the J-integral. The 3D finite element model of the plate was created providing reference data for the analytical model. The results show reasonably good agreement between the analytical and numerical results. Also, the present model eliminates the physical inconsistency of previous models and reveals that under mixed-mode II/III condition, the energy release rate is not contributed by the bending, twisting moments and shear forces at all.
International Journal of Damage Mechanics
Shear deformation
Energy release rate
Bending moments
Analytical models
interface constraint
J-integral
Laminated plate
mixed-mode II/III fracture
second-order plate theory
Szekrényes, A. (2013). Interface fracture in orthotropic composite plates using second-order shear deformation theory. International Journal of Damage Mechanics, 22(8), 1161-1185. https://doi.org/10.1177/1056789513478957
Interface fracture in orthotropic composite plates using second-order shear deformation theory. / Szekrényes, A.
In: International Journal of Damage Mechanics, Vol. 22, No. 8, 11.2013, p. 1161-1185.
Szekrényes, A 2013, 'Interface fracture in orthotropic composite plates using second-order shear deformation theory', International Journal of Damage Mechanics, vol. 22, no. 8, pp. 1161-1185. https://doi.org/10.1177/1056789513478957
Szekrényes A. Interface fracture in orthotropic composite plates using second-order shear deformation theory. International Journal of Damage Mechanics. 2013 Nov;22(8):1161-1185. https://doi.org/10.1177/1056789513478957
Szekrényes, A. / Interface fracture in orthotropic composite plates using second-order shear deformation theory. In: International Journal of Damage Mechanics. 2013 ; Vol. 22, No. 8. pp. 1161-1185.
@article{c2d220b3f8604261afee48b0ce167598,
title = "Interface fracture in orthotropic composite plates using second-order shear deformation theory",
abstract = "The second-order shear deformation theory is used in this study to calculate the stresses and the energy release rates in orthotropic composite plates. A novel double-plate system is utilized with the imposition of the proper kinematic constraints in the interface plane of a double-plate system. The governing equations of the system were derived and as a demonstrative example a simply-supported plate subjected to a point force was analyzed. Using L{\'e}vy plate formulation, the plate problem was solved by a state-space model, incorporating four different regions. The distribution of the stress resultants and the interlaminar stresses in the uncracked part were also determined. Moreover, the distributions of the mode-II and mode-III energy release rates along the crack front were calculated by the J-integral. The 3D finite element model of the plate was created providing reference data for the analytical model. The results show reasonably good agreement between the analytical and numerical results. Also, the present model eliminates the physical inconsistency of previous models and reveals that under mixed-mode II/III condition, the energy release rate is not contributed by the bending, twisting moments and shear forces at all.",
keywords = "delamination, interface constraint, J-integral, Laminated plate, mixed-mode II/III fracture, second-order plate theory",
author = "A. Szekr{\'e}nyes",
journal = "International Journal of Damage Mechanics",
publisher = "SAGE Publications Ltd",
T1 - Interface fracture in orthotropic composite plates using second-order shear deformation theory
AU - Szekrényes, A.
N2 - The second-order shear deformation theory is used in this study to calculate the stresses and the energy release rates in orthotropic composite plates. A novel double-plate system is utilized with the imposition of the proper kinematic constraints in the interface plane of a double-plate system. The governing equations of the system were derived and as a demonstrative example a simply-supported plate subjected to a point force was analyzed. Using Lévy plate formulation, the plate problem was solved by a state-space model, incorporating four different regions. The distribution of the stress resultants and the interlaminar stresses in the uncracked part were also determined. Moreover, the distributions of the mode-II and mode-III energy release rates along the crack front were calculated by the J-integral. The 3D finite element model of the plate was created providing reference data for the analytical model. The results show reasonably good agreement between the analytical and numerical results. Also, the present model eliminates the physical inconsistency of previous models and reveals that under mixed-mode II/III condition, the energy release rate is not contributed by the bending, twisting moments and shear forces at all.
AB - The second-order shear deformation theory is used in this study to calculate the stresses and the energy release rates in orthotropic composite plates. A novel double-plate system is utilized with the imposition of the proper kinematic constraints in the interface plane of a double-plate system. The governing equations of the system were derived and as a demonstrative example a simply-supported plate subjected to a point force was analyzed. Using Lévy plate formulation, the plate problem was solved by a state-space model, incorporating four different regions. The distribution of the stress resultants and the interlaminar stresses in the uncracked part were also determined. Moreover, the distributions of the mode-II and mode-III energy release rates along the crack front were calculated by the J-integral. The 3D finite element model of the plate was created providing reference data for the analytical model. The results show reasonably good agreement between the analytical and numerical results. Also, the present model eliminates the physical inconsistency of previous models and reveals that under mixed-mode II/III condition, the energy release rate is not contributed by the bending, twisting moments and shear forces at all.
KW - delamination
KW - interface constraint
KW - J-integral
KW - Laminated plate
KW - mixed-mode II/III fracture
KW - second-order plate theory
JO - International Journal of Damage Mechanics
JF - International Journal of Damage Mechanics