Viacheslav Bogdanov – författare

This book covers research from modern directions in solid mechanics, in particular, in the fields of mechanics of composite materials, fracture mechanics, strength of materials and structures, thermo-viscoelasticity and plasticity, mechanics of shell structures, contact mechanics, theory of wave propagation, dynamics of mechanical and hydromechanical systems.

The book presents some new results in the main research directions in mechanics on which the institutions of the National Academy of Sciences of Ukraine are focused. In addition to these studies, the results of joint scientific projects of the academic institutions with universities and research institutions of Ukraine are presented.

The work is dedicated to the 145th anniversary of Stepan Prokopovich Timoshenko, the world-famous scientist in the field of mechanics, the founder of the Institute of Mechanics of the National Academy of Sciences of Ukraine, one of the founders of the National Academy of Sciences ofUkraine and academic teacher with world-wide reputation with great influence on engineering education.

This book examines new approaches for the estimation of errors in approximate theories. Numerical and analytical methods in mechanics often require the establishment of a set of basic equations, and various approaches exist to create approximate theories from them. The problem is that nobody knows the boundaries of the estimation of errors in approximate theories.

This book presents new approaches to overcome this problem and to provide the reader with suitable methods for the relevant field, including a representation of different scientific schools and different countries. These new methods are helping to solve many problems not only in analytical Mechanics but also in Physics, Mathematics, and Civil Engineering.

The intricate interplay between food, energy, water, societal dynamics, and the environment constitutes the bedrock of contemporary global challenges. In recent decades, this convergence has emerged as a focal point for scientific inquiry, policy formulation, and societal discourse. This book seeks to meticulously unravel the complexities inherent in this nexus, shedding profound light on the interconnected risks, vulnerabilities, and transformative opportunities that define our quest for sustainability in the twenty-first century. The materials of this book were prepared mainly by authors working on the joint project between the International Institute for Applied Systems Analysis (IIASA) and the National Academy of Sciences (NAS) of Ukraine “Integrated robust modeling and management of food-energy-water-land use nexus for sustainable development”, and on the project “Comprehensive analysis of robust preventive and adaptive measures of food, energy, water, and social management in the context of systemic risks and consequences of COVID-19” (0122U000552) of the NAS of Ukraine. Members of the System Analysis Committee of the NAS of Ukraine were also involved in the preparation of book chapters. The authors dedicate this book to the memory of the Academician of NAS of Ukraine, Professor Yuri Ermoliev, who died in October 2022 and made a fundamental contribution to stochastic optimization as a basic tool for quantitative risk management. This book largely follows his ideas about risk management and its applications.