Multilayer Modeling of Delaminated Bilayer Beams and Its Application to Fracture and Buckling Analysis
Publication: Journal of Aerospace Engineering
Volume 37, Issue 3
Abstract
A new beam element only having the translational displacement degrees of freedom is developed to analyze fracture and buckling behaviors of bilayer beams or columns with delamination using the multilayer modeling method. By comparing their degrees of freedom, it is found that the present beam element is equivalent to the conventional Timoshenko beam element. The upper and lower layers are both divided into one or several sublayers, which are modeled by the developed beam elements. The element stiffness matrix, load vector, and geometric stiffness matrix using the linear interpolation polynomial are derived by the principle of minimum potential energy. To illustrate the effectiveness, accuracy, and efficiency, both the fracture and buckling analyses are conducted. Four typical fracture specimens (i.e., homogeneous and asymmetric double cantilever beams, single leg bending, and asymmetric end-notched flexure specimens) are analyzed using the developed beam element, and the obtained energy release rate and its components using the virtual crack closure technique are compared with those of analytical and conventional two-dimensional (2D) finite element solutions. Further, buckling analysis of bilayer beam-columns with delamination is conducted, focusing on the effect of the number of sublayers. The results show that the developed beam element is capable of effectively and efficiently calculating the convergent stress intensity factor ratio, total energy release rate and its components, and critical buckling load of delaminated bilayer beams or columns with relatively few elements, but without introducing the interface continuity condition in comparison to the conventional modeling method.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like to acknowledge the partial financial support from the National Natural Science Foundation of China (Grant Nos. 52279129 and 11972224) to this study.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 37 • Issue 3 • May 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Aug 21, 2023
Accepted: Dec 4, 2023
Published online: Feb 27, 2024
Published in print: May 1, 2024
Discussion open until: Jul 27, 2024
ASCE Technical Topics:
- Beam columns
- Beams
- Buckling
- Columns
- Continuum mechanics
- Cracking
- Degrees of freedom
- Delaminating
- Displacement (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Fracture mechanics
- Materials engineering
- Materials processing
- Mathematical functions
- Mathematics
- Matrix (mathematics)
- Solid mechanics
- Stiffening
- Structural behavior
- Structural dynamics
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
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