On Some Mile-Stones in Scientific Life of Professor Alexander N. Guz

The article is prepared in occasion of awarding Professor A.N. Guz the ICCES Medal for Life-Time Achievements and corresponds to the lecture at the symposium to honor of A.N. Guz within the framework of ICCESS-12 (International Conference on Computational and Experimental Engineering and Sciences, Greece, Crete, April 30 – May 4, 2012). Four important mile-stones in scientific life of A.N. Guz are shown and discussed: the defence of doctor of sciences dissertation; the forming new scientific directions and scientific school; the directorship at SP Timoshenko Institute of Mechanics; the preparation of many monographs, which can be classified as the first ones in the world scientific literature

Some Fundamental Aspects of Mechanics of Nanocomposite Materials and Structural Members

This paper is devoted to formulation and analysis of fundamental aspects of mechanics of nanocomposite materials and structural members. These aspects most likely do not exhaust all of the possible fundamental characteristics of mechanics of nanocomposite materials and structural members, but, nevertheless, they permit to form the skeleton of direction of mechanics in hand. The proposed nine aspects are described and commented briefly

On Some Mile-Stones in Scientific Life of Professor Alexander N. Guz*

The article is prepared in occasion of awarding Professor A.N. Guz the ICCES Medal for Life-Time Achievements and corresponds to the lecture at the symposium to honor of A.N. Guz within the framework of ICCESS-12 (International Conference on Computational and Experimental Engineering and Sciences, Greece, Crete, April 30 – May 4, 2012). Four important mile-stones in scientific life of A.N. Guz are shown and discussed: the defence of doctor of sciences dissertation; the forming new scientific directions and scientific school; the directorship at SP Timoshenko Institute of Mechanics; the preparation of many monographs, which can be classified as the first ones in the world scientific literature

Nonlinear surface elastic waves in materials

This paper is devoted to analysis of the surface nonlinear elastic harmonic waves of four types (Rayleigh and Stoneley harmonic waves within the framework of plane strain state; Love and Mozhaev harmonic wave within the framework of anti-plane strain state). The nonlinear model is based on introducing the Murnaghan elastic potential, which includes both geometrical and physical nonlinearities. Each type of surface waves is discussed in four steps: statement of the problem, nonlinear wave equations, approximate solution (first two approximations), so-me conclusions. A nonlinear analysis of waves required many novelties: new variants of the Murnaghan potential, new nonlinear wave equations and new nonlinear boundary conditions. The nonlinear wave equations were solved by the method of successive approximations. A new approach to analyze the boundary conditions is offered. Some new nonlinear wave effects are observed theoretically: a wave picture is reached by the 2nd harmonic and becomes changing in time of propagation, the wave numbers become depending on the initial amplitude

Nonlinear elastic waves in materials

The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves