Tokyo University of Science


2021.05.24 Monday

New Optimization Approach Helps Design Lighter Carbon Fiber Composite Materials

New design approach for manufacturing carbon fibers with optimized orientation and thickness achieves weight reduction in fiber reinforced plastics

Carbon fibers, due to their superior strength and lightness, are popular in aerospace engineering applications. While much effort goes into improving the strength of carbon fiber composites, such as fiber-reinforced plastic, only fiber orientation optimization is considered. Now, researchers from Tokyo University of Science have adopted a new design method that optimizes both fiber thickness and orientation, achieving weight reduction in reinforced plastic and opening doors to lighter aircrafts and automobiles.

Carbon is vital to the existence of all living organisms, since it forms the basis of all organic molecules that, in turn, form the basis of all living beings. While that alone is pretty impressive, it has recently found surprisingly novel applications in disciplines such as aerospace and civil engineering with the development of carbon fibers that are stronger, stiffer, and lighter than steel. Consequently, carbon fibers have taken over steel in high-performance products like aircrafts, racecars, and sports equipment.

Carbon fibers are usually combined with other materials to form a composite. One such composite material is the carbon fiber reinforced plastic (CFRP), which is well-known for its tensile strength, rigidity, and high strength-to-weight ratio. Owing to its high demand, researchers have carried out several studies to improve the strength of CFRPs, and most of these have focused on a particular technique called "fiber-steered design," which optimizes fiber orientation to enhance strength.

However, the fiber-steered design approach is not without its drawbacks. "Fiber-steered design only optimizes orientation and keeps the thickness of the fibers fixed, preventing full utilization of the mechanical properties of CFRP. A weight reduction approach, which allows optimization of fiber thickness as well, has been rarely considered," explains Dr. Ryosuke Matsuzaki from Tokyo University of Science (TUS), Japan, whose research is focused on composite materials.

Against this backdrop, Dr. Matsuzaki-along with his colleagues at TUS, Yuto Mori and Naoya Kumekawa-proposed a new design method for optimizing the fiber orientation and thickness simultaneously depending on the location in the composite structure, which allowed them to reduce the weight of the CFRP compared to that of a constant thickness linear lamination model without compromising its strength. Their findings can be read in a new study published in Composite Structures.

Their method consisted of three steps: the preparatory, iterative, and modification processes. In the preparatory process, an initial analysis was performed using the finite element method (FEM) to determine the number of layers, enabling a qualitative weight evaluation by a linear lamination model and a fiber-steered design with a thickness variation model. The iterative process was used to determine the fiber orientation by the principal stress direction and iteratively calculate the thickness using "maximum stress theory". Finally, the modification process was used to make modifications accounting for manufacturability by first creating a reference "base fiber bundle" in a region requiring strength improvement and then determining the final orientation and thickness by arranging the fiber bundles such that they spread on both sides of the reference bundle.

The method of simultaneous optimization led to a weight reduction greater than 5% while enabling higher load transfer efficiency than that achieved with fiber orientation alone.

The researchers are excited by these results and look forward to the future implementation of their method for further weight reduction of conventional CFRP parts. "Our design method goes beyond the conventional wisdom of composite design, making for lighter aircraft and automobiles, which can contribute to energy conservation and reduction of CO2 emissions," observes Dr. Matsuzaki.

Title of original paper  : Variable thickness design for composite materials using curvilinear fiber paths
Journal  : Composite Structures
DOI  : 10.1016/j.compstruct.2021.113723
About The Tokyo University of Science

Tokyo University of Science (TUS) is a well-known and respected university, and the largest science-specialized private research university in Japan, with four campuses in central Tokyo and its suburbs and in Hokkaido. Established in 1881, the university has continually contributed to Japan's development in science through inculcating the love for science in researchers, technicians, and educators.

With a mission of "Creating science and technology for the harmonious development of nature, human beings, and society", TUS has undertaken a wide range of research from basic to applied science. TUS has embraced a multidisciplinary approach to research and undertaken intensive study in some of today's most vital fields. TUS is a meritocracy where the best in science is recognized and nurtured. It is the only private university in Japan that has produced a Nobel Prize winner and the only private university in Asia to produce Nobel Prize winners within the natural sciences field.

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About Dr. Ryosuke Matsuzaki from Tokyo University of Science

Ryosuke Matsuzaki is an associate professor at the Department of Mechanical Engineering at Tokyo University of Science (TUS), Japan. He received his doctoral degree from Tokyo Institute of Technology Graduate School in 2007 and joined TUS as a junior associate professor in 2011. His research area is mechanics of materials, focusing on composite materials, smart materials and structure, and functional materials. He has published 161 papers with over 1900 citations and has co-authored 8 books. For more information, visit:

Funding information

This work was supported by Council for Science, Technology and Innovation (CSTI), Cross-ministerial Strategic Innovation Promotion Program (SIP), "Materials Integration" for Revolutionary Design System of Structural Materials (Funding agency: JST).


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