Novel Composite Design: Unveiling the Strengths of Tapered Laminates


Tapered composite laminates are specialized materials used in engineering and material science, particularly in the aerospace and automotive industries. They are made by layering composite materials in a way that the thickness of the laminate changes, or tapers, over its length. These laminates are composed of layers of composite materials, which are typically fiber-reinforced polymers. The fibers in these composites can be made from materials like carbon, glass, or aramid, and are embedded in a polymer matrix. The key feature of tapered laminates is that the number of layers (or the thickness of individual layers) changes along the length or width of the component, creating a tapered effect. The manufacturing of tapered composite laminates involves laying up the composite layers in a mold or on a tool surface, with the layers arranged to achieve the desired taper. This process can be done manually or using automated methods like automated tape laying (ATL) or automated fiber placement (AFP). The tapering of the laminate allows for tailored mechanical properties. By adjusting the thickness and orientation of the layers, engineers can optimize the strength, stiffness, and weight of the component for specific applications. This customization is particularly valuable in applications where weight savings are critical, and where the load conditions vary along the component’s length. Tapered composite laminates are widely used in aerospace for components like wings, fuselage sections, and tail surfaces. They are also used in wind turbine blades, automotive components, and sports equipment. In aerospace, the tapering allows for efficient load distribution and weight reduction, which are critical for performance and fuel efficiency. The main advantages of these materials are their high strength-to-weight ratio, customizability, and the ability to create structures that are strong where needed while reducing unnecessary weight. This leads to more efficient designs in terms of both performance and materials usage. However, designing and manufacturing tapered composite laminates can be complex. It requires precise control of the layering process and understanding of how changes in thickness affect the overall mechanical properties of the component. The study conducted by Professor Paul Weaver and his team at the University of Limerick in Irelands represents a significant leap in the design and analysis of composite structures. The focus on tapered composite laminates is timely and relevant, given the growing demand for lightweight and efficient structures in various engineering domains such as aerospace, wind energy, and construction.

Weaver’s study addresses this challenge by introducing a new manufacturing methodology that allows for the creation of tapered composite laminates without layer terminations, thereby mitigating stress concentration effects. This advancement in manufacturing technology is pivotal as it opens up new possibilities in the design and utilization of composite materials.

The authors developed an analytical method to predict the transverse stresses in composite laminated beams with orthotropic tapered layers. This method, based on Timoshenko beam theory, represents a substantial improvement over Classical Laminate Theory (CLT), which has been shown to underestimate the transverse stress magnitudes in such structures. The methodology introduced by Weaver and his team incorporates the effects of taper into the lamina constitutive relation, followed by the application of Cauchy stress equilibrium. This approach allows for a more accurate prediction of stress distributions in composite beams, particularly in cases where the layers are tapered.

The study’s findings highlight several key aspects of the mechanical behavior of tapered composite beams. Firstly, it notes that transverse stresses are discontinuous at oblique layer interfaces where the elastic properties of adjacent layers differ. This is a crucial insight, as it challenges the traditional understanding of stress distributions in composite materials. Secondly, the research shows that the maximum transverse stress magnitudes and their cross-sectional locations are not intuitively obvious and require detailed stress analysis for accurate determination. This finding underscores the complexity of stress distributions in tapered composite beams and the necessity of advanced analytical methods for their analysis.

Additionally, the authors reveal that bending moments in tapered composite beams induce shear stresses due to the taper effect, further complicating the stress analysis. This phenomenon is particularly relevant in the design of structures where bending is a predominant load condition, such as in wind turbine blades and aircraft wings. The ability to predict these shear stresses accurately is crucial for the safe and efficient design of such structures. The validation of the analytical method against 2D and 3D solid-like finite element analyses is another testament to the robustness of this new approach. The good agreement between the analytical predictions and finite element analyses for both symmetrical and non-symmetrical laminates provide confidence in the applicability of the method. Moreover, the satisfactory results obtained for taper angles up to 8° indicate the method’s reliability within practical limits. From a practical standpoint, the developed analytical method offers several advantages. It obviates the need for detailed modelling in commercial finite element software, thus reducing computational time and effort. This efficiency is particularly beneficial in the early stages of design, where rapid and accurate predictions are essential for decision-making. However, the study does caution that the accuracy of the method decreases with increasing taper angle, material anisotropy, and mechanical responses in the width direction. Therefore, while the method is a powerful tool, its limitations must be considered in practical applications.

According to the authors further developments could extend this methodology to include thin-walled cross-sections, functionally graded materials, and variable angle tow laminates. Such extensions would further broaden the applicability of the method and enhance our ability to design and analyze a wider range of composite structures. In conclusion, the research led by Professor Paul Weaver marks an important advancement in the field of composite material engineering. The development of an accurate and efficient analytical method for predicting the stress distributions in tapered composite laminates addresses a long-standing challenge in the field. This methodology not only enhances our understanding of the mechanical behavior of these materials but also provides practical tools for their design and analysis. The implications of this research are far-reaching, with potential applications in a variety of engineering fields where lightweight and efficient structures are paramount.


About the author

Professor Paul Weaver

University of Limerick, Ireland

Paul is an authority in the field of structural mechanics for composite materials, a pioneer in the emerging field of morphing composite structures, and an expert in the structural mechanics of buckling and postbuckling of optimized composite structures.  He has also contributed to the development of a novel manufacturing technology for composites (Continuous Tow Shearing).

Paul is the Bernal Chair of Composite Materials and their Structures at the University of Limerick; SFI Research Professor; Professor of Lightweight Structures at the University of Bristol; Director of Advanced Composites Centre for Innovation and Science (ACCIS) Centre for Doctoral Training; Director of the Vestas Wind Systems Preferred Partnership in Composites; Director of the Offshore Renewable Energy (ORE) Catapult’s Wind Blade Research Hub and a current Royal Society Wolfson Merit Award holder.  He serves the Royal Aeronautical Society’s Materials and Structures panel and is an associate editor of the AIAA Journal whilst also serving the editorial board of Composite Structures.


M.M.S. Vilar, P. Khaneh Masjedi, D.A. Hadjiloizi, Paul M. Weaver, Analytical interlaminar stresses of composite laminated beams with orthotropic tapered layers, Composite Structures, Volume 319, 2023, 117063,

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