Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review
Abstract
:1. Introduction
1.1. Laminated Composite Structures
1.2. Practical Application’s
2. Methodology
2.1. Data Collection and Search Approach
2.2. Bibliometric Assessment
2.3. Qualitative Assessment
3. Bibliometric Analysis of Results
3.1. Summary of the Obtained Information
3.2. Analysis of Journals
3.3. Analysis of Keywords Co-Occurrence
3.4. Analysis of Co-Authorship Analysis
3.5. Contributing Countries Analysis
4. Qualitative Assessment of Science Mapping Results
4.1. Historical Progress of Laminated Composite Plate Theories
4.1.1. Classical Lamination Plate Theory (CLPT)
4.1.2. First-Order Shear Deformation Theory (FSDT)
4.1.3. Higher-Order Shear Deformation Theory (HSDT)
4.2. Assessments of Various Methods to Model Laminated Composite Plates
4.2.1. Progress on Analytical and Numerical Models for Different Plates
- The mixed variational technique;
- The successive approximations method;
- An expansion method based on asymptotic analysis;
- Symbolic integrations technique;
- Initial functions technique.
- The semi-inverse technique;
- The technique of trigonometric functions;
- The expansion based on Fourier series.
4.2.2. Methods for Solution
Elasticity Solutions
Power, Trigonometric, and Fourier Series Approaches
Rayleigh–Ritz and Galerkin Methods
Variational Methods
Differential Quadrature Methods (DQMs)
Carrera Unified Formulation (CUF)
Recent Analytical Methods
Finite Element Analysis
Meshless Techniques
Boundary Element Method
Recent Numerical Methods
Artificial Intelligence Based on Artificial Neural Network Approaches
5. Conclusions
- Achieve global engineering methods that are more efficient and cost-effective, especially in the fields of composite materials and finite element modelling.
- Conduct experimental studies to validate theoretical findings.
- Apply advanced methodologies such as computational simulations or machine learning to analyze complex systems under various boundary conditions.
- Employ statistical techniques to quantify the significance of different factors and their interactions.
- Conduct pilot-scale and full-scale studies to evaluate the feasibility of laminated composite plate applications.
- Perform sensitivity analysis to assess the sensitivity of models or systems to changes in boundary conditions.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
K | Shear correction factor |
ESL | Equivalent single-layer |
MLT | Multi-layer theory |
ZZ | Zigzag |
SDT | Shear deformation theory |
CLPT | Classical lamination plate theory |
FSDT | First-order shear deformation theory |
HSDT | Higher-order shear deformation theory |
LWT | Layer-wise lamination theory |
FEM | Finite element method |
DOF | Degree of freedom |
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Based on Elimination of Thickness Coordinate Z | Based upon Field Variable | Based upon Choice of Variable Description |
---|---|---|
Continuum | Stress | |
Asymptotic | Displacement | ESL |
Axiomatic | Mixed | MLT |
Document Type | Number of Documents |
---|---|
Article | 6257 |
Book | 14 |
Book Chapter | 74 |
Conference Paper | 1628 |
Conference Review | 156 |
Data Paper | 1 |
Editorial | 2 |
Erratum | 7 |
Letter | 5 |
Note | 3 |
Report | 7 |
Retracted | 2 |
Review | 64 |
Short Survey | 1 |
Theory | ESL | LWT | ZZ |
---|---|---|---|
Historical Period | Developed in the mid-20th century. | Developed in the late 20th century as an improvement over ESL. | Developed in the late 20th century as a mesh-free numerical method. |
Model formulation | ESL is based on the equivalent single-layer theory, which simplifies the analysis of laminated composite plates by representing them as equivalent single-layer plates. | LWT accounts for the layer-wise variation in material properties and shear stresses. | It is an advancement of ESL and LWT models that superimposes an FSDT or HSDT with a zigzag function. |
Suitable Usage | Suitable for analyzing laminated composite plates with simple geometries, uniform material properties, and moderate loading conditions. It provides accurate solutions for displacement and stress fields in thin to moderately thick plates. | Suitable for analyzing laminated composite plates with complex layer configurations, non-uniform material properties, and large deformations. It provides accurate solutions for both thin and thick laminates, including those subjected to high shear loads. | Suitable for analyzing laminated composite plates with arbitrary geometries, complex loading conditions, and large deformations. It offers the flexibility to model material and geometric nonlinearities, making it applicable to a wide range of practical engineering problems. |
Shear Effect Consideration | Shear effects based on thickness to smaller dimension ratio which may lead to less accurate predictions of shear stresses and interlaminar effects, especially in thick laminates. | Includes shear effects, providing more accurate predictions of shear stresses and interlaminar effects compared to ESL. | Includes shear effects, allowing for accurate predictions of shear stresses and interlaminar effects in laminated composite plates. |
Theory | CLPT | FSDT | HSDT |
---|---|---|---|
Historical Period | Approximately 1850–1950 | Approximately 1950–1980 | Approximately 1980–present |
Model name | Kirchhoff–Love plate theory | Ressiner–Mindlin plate theory | Extension of Ressiner–Mindlin plate theory. |
Suitable Usage | Suitable for thin plates with thickness-to-width ratio less than 1/10 [51,52]. | Suitable for thick plates with thickness-to-width ratio more than 1/10 [51,52]. | This theory is utilized for analyzing thicker laminated anisotropic composite plates where FSDT is not accurate enough [51,52]. |
Shear Effect Consideration | Neglects shear effects | Includes shear effects | Includes shear effects |
CLPT | FSDT | HSDT |
---|---|---|
Authors Name | Contribution |
---|---|
Reissner [54] and Mindlin [78] | Using K for laminate transverse shear in FSDT is an extension of Reissner and Mindlin’s theories for isotropic homogeneous plates. |
Whitney [51,56] and Kaneko [95] | Discussed how to introduce K. |
Stephen and Hutchinson [96] | Was the first to include a dependence on the cross-sectional aspect ratio. |
Isaksson et al. [97] | Derived K for a corrugated board sandwich panel based on equilibrium stress. |
Tanov et al. [98] | Utilized FEM to determine K. |
Puchegger et al. [99] | Obtained K experimentally for validation. |
Hadavinia et al. [100] | Derived the shear correction factor based using the energy equivalence method. |
Theory | Polynomial HSDT | Non-Polynomial HSDT |
---|---|---|
Computational merits | Involves simpler mathematical expressions. | Requires more complex formulations. |
Accuracy | Offers less accuracy in capturing the complex deformation behavior of laminated composite plates. | Offers higher accuracy in capturing the complex deformation behavior of laminated composite plates. |
Thickness functions | Utilizes simpler thickness functions, such as linear or quadratic variations, which may not adequately capture the true variation in thickness of laminated composite plates. | Allows for more flexible thickness functions, enabling a better representation of the actual thickness distribution in the plate. |
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© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
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Odeh, A.; Al-Shugaa, M.A.; Al-Gahtani, H.J.; Mukhtar, F. Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review. Buildings 2024, 14, 1574. https://doi.org/10.3390/buildings14061574
Odeh A, Al-Shugaa MA, Al-Gahtani HJ, Mukhtar F. Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review. Buildings. 2024; 14(6):1574. https://doi.org/10.3390/buildings14061574
Chicago/Turabian StyleOdeh, Ali, Madyan A. Al-Shugaa, Husain J. Al-Gahtani, and Faisal Mukhtar. 2024. "Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review" Buildings 14, no. 6: 1574. https://doi.org/10.3390/buildings14061574