Biomimicry technique of creating technical advancements by mimicking natural phenomena is known as this method focuses at biological systems in order to create solutions for issues or challenges that affect humans. Notable examples include the Japanese bullet train, which was designed to reduce noise and enhance speed by modeling its design after the beak of a kingfisher, and airplanes that replicate the hook-and-loop mechanism of burrs. By emulating biological designs, scientists and engineers create sustainable and efficient technologies. The intersection of natural and synthetic materials holds potential for innovative developments in various fields, leveraging unique properties such as strength, toughness, and wear resistance found in natural materials like shells, bones and enamel. The developments of materials with improved properties are influenced by the study of microstructures that are found in nature, such as composites inspired by nacre. Understanding and reproducing these features it becomes easier by different methods such as Extended Finite Element Method (XFEM), simulations and Molecular Dynamics (MD). Developments in bioinspired materials, especially for the applications that required resistance to blasts, shows how biomimicry can be used to develop robust defenses. The performance and design of composite structures are further improved via optimization techniques which are essential in modern engineering. This combination of artificial innovation and natural inspiration is about to transform material science and engineering, producing cutting-edge technologies with never-before-seen performance and adaptability. This study examines optimization and simulation methods that are critical to the development of bioinspired materials.