Springer Modeling, Synthesis and Fracture of Advanced Materials for Industrial and Medical Applications: 136 (Advanced Structured Materials, 136)

This book gathers papers presented at the international workshop PMSDAM’19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines. From the Back Cover This book gathers papers presented at the international workshop PMSDAM’19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines. About the Author Prof. Dr.Sci. Sergei M. Aizikovich received his Ph.D. degree in Physics and Maths from Rostov State University, Rostov-on-Don, Russia, in 1980. He was in the Vorovich Research Institute of Mechanics and Applied Mathematics, South Federal University (former Rostov State University), Rostov-on-Don, Russia, where he started as a junior researcher and finally he was the head of Contact Interactions Lab. Since 2010, he is the head of Functionally Graded and Composite Materials Lab, a professor and a leading researcher at the Don State Technical University, Rostov-on-Don, Russia. Prof. Aizikovich has coauthored more than 150 scientific papers. He has published 3 monographs. Scientific interests of Prof. Aizikovich are contact problems for functionally graded coating–substrate system; analytical methods in contact and wear problems for functionally graded materials; determination of mechanical properties of the coating–substrate systems; and cracks in functionally graded materials, plates and shells based on graded foundations. In 2016, he had an honor to receive the Professor of the Year Award of Russian Professors Society. He has been the principal investigator of projects with the focus on numerical-analytical methods of calculating efficiency and reliability of welded joints under simultaneous thermal and mechanical impact, taking into account inhomogeneities and defects, mechanics of functionally graded coatings, elastic contact with and without friction, development of effective numerical-analytical methods for solution of the mode I crack problem in a functionally graded material, when its elastic properties arbitrarily vary and asymmetric with respect to the crack..  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.    Prof. Dr. hab. Victor Eremeyev is