Fractal Theory in Cement-Based Materials: Investigations and Applications

Dear Colleagues,

Fractal theory is a useful tool to investigate the microstructures and properties of materials. The most used building materials are cement-based materials. Cement-based materials have a wide range of applications in construction and engineering, including normal concrete, UHPC (ultra-high-performance concrete), recycled concrete, repair materials and grouting materials. During the service of these materials, cracks and the deterioration of physical properties may occur due to various reasons, such as load action, environmental influence, material defects, etc. Fractal theory could be applied to study the micro and meso structure and physical properties of different types of cement-based materials. Therefore, it is of great significance to study the application of fractal theory in cement-based materials.

Fractal theory is a mathematical tool to describe natural phenomena with self-similarity and scale invariance, and its applications are wide-ranging, including materials science, biology, geology, and many other fields. In cement material science, fractal theory also provides new perspectives and methods.

In the microstructure of cement, fractal theory can be used to describe and predict its pore structure and interface structure. Cement is a multiphase material whose internal structure includes solid crystals, liquid matrices, and gas pores. The distribution and shape of these components are self-similar and can be studied and described using fractal theory. Through fractal analysis, we can better understand the relationship between the microstructure and properties of cement and provide a theoretical basis for the optimal design of materials.

Fractal theory also has applications in the hydration process of cement. The hydration of cement is a physicochemical process that involves changes in the solid–liquid interface and pore structure. In this process, fractal theory can help us understand and predict the formation and distribution of hydration products, thereby optimizing the performance of cement.

In addition, the durability of cement materials is also a key concern. Fractal theory is of great value in predicting and evaluating the durability of cement materials. For example, by analyzing the chloride ion diffusion process in cement mortar, fractal theory can be used to establish a mathematical model of the diffusion process, so as to more accurately predict the durability of the material.

Finally, fractal theory also plays an important role in the design of cement materials. By simulating and predicting the microstructure and properties of materials, we can better understand and control the preparation process of materials to optimize their properties and functions.

In summary, the application of fractal theory in cement materials plays an important role by providing us with new tools to understand and optimize material properties. An in-depth study of the fractal theory in cement-based materials can not only improve our understanding of the properties of these materials but can also provide important support for the optimal design and safe application of cement-based materials.

Dr. Junjie Wang
Dr. Yongliang Liu
Dr. Mulan Mu
Guest Editors

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• fractal theory
• cement-based materials
• crack shape
• tortuosity
• physical properties
• pore structure
• microstructure