The book is devoted to the 70thbirthday of Prof. Sergey M. Aizikovich, which will celebrated on August 2nd2021. His scientific interests are related to the following topics: Mechanics of contact interactions, Functionally graded materials, Mechanics of fracture, Integral equations of mathematical physics, Inverse problems of the theory of elasticity, and Applications of elasticity to biological and medical problems of mechanics of materials. The papers, collected in the book, are contributions of authors from 10 countries.

This book presents the theoretical and experimental foundations of quasi-static deformation of elastoplastic and viscoplastic materials and structural elements made of them. Experimental studies of deformation and fracture of materials under complex loading under impulse influences are described and discussed. A short introduction of theoretical and numerical methods for studying the stress–strain state of elastoplastic structural elements under dynamic, impulse loading and their interaction with other media is given.

This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.