Springer Recent Approaches in the Theory of Plates and Plate-Like Structures: 151 (Advanced Structured Materials, 151)

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.    From the Back Cover 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.    About the Author Prof. Dr.-Ing. habil. Dr. h.c. mult. Holm Altenbach is a member of the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy, and International Association of Applied Mathematics and Mechanics (GAMM). In 1996, he was appointed as a full professor (Engineering Mechanics) at the Martin Luther University Halle-Wittenberg, and since 2011, he has been a full professor at the Otto von Guericke University Magdeburg. He graduated from Leningrad Polytechnic Institute in 1980 (diploma with a distinction), defended his Ph.D. and obtained his postgraduate degree (habilitation) from the same university in 1983 and 1987, respectively. His areas of scientific interest are theory of plates and shells with applications, continuum mechanics and material modeling, generalized media, sandwiches and laminates. He is an Editor-in-Chief of the Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik (the oldest journal in mechanics in Germany) and of Springer’s Advanced Structured Materials series. He is a member of the editorial board of several journals: among them Continuum Mechanics and Thermodynamics, Technische Mechanik, Mechanics of Composite Materials, and Journal of Strain Analysis for Engineering Design. He was awarded the Polish Humboldt Prize in 2018. In November 2019, he was elected as a Foreign Member of the Russian Academy of Sciences and in May 2021 as a Foreign Member of the National Academy of Sciences of Ukraine. Professor Svetlana M. Bauer is professor at the Department of Theoretical and Applied Mechanics of the Faculty of Mathematics and Mechanics at Saint-Petersburg State University, Russia. She was graduated from Leningrad State University in 1975 and obtained the PhD (Physics & Mathematics, Mechanics of Solids) from Leningrad State University in 1980. In 2003, she got the D.Sc. degree (Physics & Mathematics, Mechanics of Solids) from Leningrad State University in 2003. She supervised of eight PhD theses and acted as author/co-author of 15 books and 200 journal and conference papers. Her research interests are asymptotic methods, theory of thin-walled structures, biomechanics, mechanics of solids, nano-mechanics, and models of plates and shells in ophthalmology. Prof. Dr. hab. Victor A. Eremeyev is a member of American Mathematical Society; the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy; and Polish Society of Theoretical and Applied Mechanics. Employment history includes positions at Rostov State University/South Federal University, Don State Technical University, and Southern Scientific Center of Russian Academy of Science, Rostov on Don, at Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Russia; at Martin Luther University Halle-Wittenberg and Otto von Guericke University Magdeburg, Germany; at Rzeszow University of Technology, Rzeszów; and Gdańsk University of Technology, Gdańsk, Poland. He is graduated from Rostov State University at 1985 (diploma in Mechanics with