This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

About the Author

Prof. Dr.-Ing. habil. Dr. h. c. mult Holm Altenbach, Member of the International Association of Applied Mathematics and Mechanics, and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy. Employment history includes positions at Otto-von-Guericke-University Magdeburg and at Martin Luther University Halle-Wittenberg, both Germany. Graduated from Leningrad Polytechnic Institute in 1985 (diploma in Dynamics and Strength of Machines). Defended PhD in 1983, awarded Doctor of technical sciences in 1987, both at the same Institute.

Present position: Full Professor in Engineering Mechanics at the Otto-von-Guericke-University, Faculty of Mechanical Engineering, Institute of Mechanics (since 2011), acting director of the Institute of Mechanics since 2015

Areas of scientific interest:

• General theory of elastic and inelastic plates and shells.

• Creep and damage mechanics.

• Strength theories.

• Nano- and micromechanics.

Author/Co-author/Editor of 60 Books (textbooks/monographs/proceedings), appr. 380 scientific papers (among them 250 peer-reviewed) and 500 scientific lectures. Managing Editor (2004 to 2014) and Editor-in-Chief (2005 – to date) of the Journal of Applied Mathematics and Mechanics (ZAMM) – the oldest journal in Mechanics in Germany (founded by Richard von Mises in 1921), Advisory Editor of the journal “Continuum Mechanics and Thermodynamics” since 2011, Associate Editor of the journal “Mechanics of Composites” (Riga) since 2014, Co-Editor of the Springer Series “Advanced Structured Materials” since 2010.

Awards: 1992 Krupp-Award (Alexander von Humboldt-Foundation), 2000 Best paper of the year Journal of Strain Analysis for Engineering Design, 2003 Gold Medal of the Faculty ofMechanical Engineering, Politechnika Lubelska, Lublin, Poland, 2004 Semko-Medal of the National Technical University Kharkov, Ukraine, 2007 Doctor honoris causa, National Technical University Kharkov, Ukraine, 2011 Fellow of the Japanese Society for the Promotion of Science, 2014 Doctor honoris causa, University Constanta, Romania, 2016 Doctor honoris causa, Vekua-Institute, Tbilisi, Georgia, 2018 Alexander von Humboldt Award (Poland)

Prof. Dr. Science Dr. habil. Dr. h. c. Alexander K. Belyaev, Director of the Institute for Problems in Mechanical Engineering of Russian Academy of Science, Professor of Department of Mechanics and Control at Peter-the-Great St. Petersburg Polytechnic University, Professor of Department of Theoretical and Applied Mechanics at St. Petersburg State University.Habilitation (venia docendi) at Technical University of Vienna, Austria in 1997, Dr. Science (Mathematics and Mechanics) at St. Petersburg Technical University in 2001. HonoraryDoctorate (d.h.c.) of Johannes Kepler University, Linz, Austria in 2012, Foreign Member of the Austrian Academy of Sciences in 2016. Awarded Thomas A. Jaeger Prize (main prize) of the International Association for Structural Mechanics in Reactor Technology in 1993 and Michail A. Lavrentiev Award in Mathematics and Mechanics of the Russian Academy of Sciences in 2016.

Member of the Council of the European Mechanics Society (EUROMECH) 2013-2018, member of IUTAM since 2016.

Areas of scientific interest:

• High-frequency dynamics of solids and structures.

• Stability of machines and mechanisms.

• Mechatronics.

Author/coauthor of ca. 250 scientific papers, translator of seven classical monographs of the leading Russian scientists into English for Springer-Verlag. Member of the Editorial Boards of the Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), since 2004; International Journal Acta Mechanica, since 2002, International Journal of Structural Control and Health Monitoring, since 2012; International Journal “Mechanics of Advanced Materials and Modern Processes” since 2013.

Prof. Dr. hab. Victor A. Eremeyev, Member of American Mathematical Society and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy. Employment history includes positions at Rostov State University/South Federal University and Southern Scientific Center of Russian Academy of Science, Rostov on Don, Russia; at Martin Luther University Halle-Wittenberg and Otto-von-Guericke-University Magdeburg, Germany; at Rzeszow University of Technology, Rzesz�w, Poland. Graduated Rostov State University at 1985 (diploma in Mechanics). Defended PhD in Rostov State University in 1990 (title: The stability of two-phase nonlinear thermo-elastic bodies). Awarded Dr. hab. (Doctor of science of Physics & Mathematics) at Instituteof Problems of Mechanical Engineering of Russian Academy of Science, Saint-Petersburg (title: Mechanics of two-phase bodies with microstructure under finite deformations).

Areas of scientific interest:

• General theory of elastic and inelastic shells and its applications. Cosserat shells and plates. Theory of plates and shells made of functionally graded material, foams, etc. Modelling of the phase transitions in shells and films.

• Theory of continuum media with microstructures such as micropolar fluids, Cosserat media, strain gradient elasticity, porous media, foams, nanostructures. Metamaterials.

• Nonlinear elasticity. Nonlinear mechanics of elastic and inelastic media with phase transformations. Mathematical modeling of shape memory alloys, martensite phase transitions.

• Nano- and micromechanics.

Scientific record: about 140 publications indexed by Scopus, 10 written and edited books in English, Russian and Spanish

Prof. Dr. hab. Krivtsov A.M., Member of Russian National Committee for Theoretical and Applied Mechanics, Member of the Academic council of the Institute of Applied Mathematics and Mechanics, Peter the Great St. Petersburg State Polytecnic University;Member of the Academic council of the Institute for Problems in Mechanical Engineering, Russian Academy of Sciences; Member of 2 committees for PhD and Doctoral degrees judgment; External expert for Russian Foundation of Basic Research; Scientific secretary of the Program for basic research of the Presidium of the Russian Academy of Sciences “Fundamental problems of mechanics of interactions in technical and natural systems, materials and mediums”; Scientific secretary of the Program for basic research of the Presidium of the Russian Academy of Sciences “Development of physical and chemical mechanics of surface phenomena as afundamental basis for the development of modern structures and technologies”; Co-Chairmen of annual international summer school-conference “Advanced Problems in Mechanics”; Member of editorial board of Journal of Mechanical Engineering Science; Scientific supervisor of International Master Degree Program “Mechanics and Mathematical modeling”, Peter the Great St. Petersburg State Polytechnic University.

Employment history includes positions head of the department "Theoretical mechanics" at the Peter the Great St.Petersburg Polytechnic University (SPbPU) and the Head of the laboratory "Discrete models in mechanics" at the Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, Saint-Petersburg.

Graduated from St. Petersburg Polytechnical Universty at 1990 (degree with a distinction). Received PhD from St. Petersburg Polytechnical Universty in 1995. Awarded Dr. hab. (Doctor of science of Physics & Mathematics)at the Institute of Problems of Mechanical Engineering of the Russian Academy of Science, Saint-Petersburg in 2002.

Areas of scientific interest:

• Discrete and continuum mechanics

• Particle and molecular dynamics

• Nanomechanics

• Geomechanics

• Computer methods in mechanics

• Multibody dynamics

• Nonlinear oscillations

• Astrophysics

Author/Co-author/Editor of 12 Books (textbooks/monographs/proceedings), appr. 256 scientific papers (among them 72 publications indexed by Scopus and WoS). Nearly 40 plenary lectures.

Awards: 2016 Corr. Member of Russian Academy of Sciences; 2015 Professor of Russian Academy of Sciences; 2015 Award of the Government of St. Petersburg for outstanding achievements in the field of higher and secondary vocational education; 2005 Russian Foundation for Basic Research award 05-01-14028 for publishing book “Deformation and fracture of solids with microstructure”; 2003 President of Russia award for young Doctors of Science and their groups; 1999 Royal Society of London / NATO Postdoctoral Fellowship award; 1998 Young Investigator Award from St. Petersburg Government; 1997 Young Investigator Award from St. Petersburg Government; 1996 Young Investigator Award from St. Petersburg Government; 1995 Young Investigator Award from St. Petersburg Government.

Prof. Dr. hab. Alexey V. Porubov, Member of Euromech, Russan Acoustcal Society and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy. Employment history includes positions at the Ioffe Physcal Technical Institute and the Institute of Problems of Mechanical Engineering, both of the Russian Academy of Science, Saint-Petersburg. Graduated from St. Petersburg Polytechnical Universty at 1987 (diploma in Mechanics). Received PhD from St. Petersburg Polytechnical Universty in 1996. Awarded Dr. hab. (Doctor of science of Physics & Mathematics) at the Institute of Problems of Mechanical Engineering of the Russian Academy of Science, Saint-Petersburg in 2007.

Areas of scientific interest:

• Nonlinear waves in solids and fluids.

• Nonlinear modelling of dynamic processes in dicrete and continuum media with microstructures.

• Analysis of partial nonlinear differential equations.

Scientific record: about 100 publications indexed by Scopus and WoS, 3 written and edited books in English and Russian.

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