Theoretical and Computational Contact Micro Mechanics

This book covers the fundamental concepts, historical background, theoretical foundations, solution methodologies, computational algorithms, and engineering applications of contact micromechanics. It presents a unified computational framework built upon the theories of eigenstrains and contact mechanics, designed to investigate the contact behavior of engineering materials across a wide range of industrial applications. Detailed discussions are provided on the mathematical formulations of physical contact problems and the development of computational methods--particularly those based on the fast Fourier transform (FFT)--along with multi-field solution strategies. In addition, alternative mechanics approaches for addressing similar problems are presented for comparison and broader knowledge extension. This book serves as a valuable resource for engineers and researchers, offering both a solid foundation for learning and a platform for practical application and innovation.