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Foundations of mechanics of materials: Part 1

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Lingua:  English
This short course is intended as the small addendum to the imposing size classical books on the mechanics of materials.
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The presented short course is intended as the small addendum to the imposing size classical books on the mechanics of materials. The foundations of the nonlinear, linearized, and linear theories of elasticity, as well as the strength of materials, are offered. The chapters give in brief terms the information on fundamentals of mechanics of materials and have for an object to help him to systemize of his knowledge in the area of modern mechanics of materials, to understand the common background and interdependence of models and theories of the modern mechanics of materials.

About the Author

Doctor of Sciences, Professor, Member of the National Academy of Sciences of Ukraine Rushchitsky Jeremiah is working in mechanics of materials. He is head of department at the S.P.Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine in Kyiv, professor of the Physical-Mathematical Faculty of the Igor Sikorsky National Technical University of Ukraine in Kyiv, Member of the Centre of Micro- and Nanomechanics at the University of Aberdeen (Scotland). Author of 560 scientific publications including 18 books. Member of different international scientific societies.

  • Foreword
  1. Basic information on mechanics
  2. Basic information on mechanics of materials. Theory of elasticity. Short description of linear theory of elasticity
  3. Some additional fundamental facts from the linear theory of elasticity
  4. Short description of nonlinear theory of elasticity. Part 1
  5. Short description of nonlinear theory of elasticity. Part 2
  6. Short description of linearized theory of elasticity
  7. Short description of strength of materials
  8. Focus on composite materials. Different models of elastic deformation
  9. Focus on composite materials. Structural model of elastic mixtures
  10. Focus on new materials Nanomechanics of materials
  11. Focus on new materials. Mechanics of auxetic materials

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Jeremiah Rushchitsky

Prof. D.Sc. Jeremiah J. Rushchitsky

Head of the Department of Rheology at S.P.Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine;

Professor at Physical-Mathematical Faculty, National Technical University of Ukraine “KPI”, Kyiv;

Member of the Centre for Micro- and Nanomechanics at School of Engineering of the University of Aberdeen, Scotland.

e-mail: rushch@inmech.kiev.ua

Academic degrees: Dipl.-Eng. (Diploma with Distinction, Lviv State University), 1963; Candidate of (Physical-Mathematical) Sciences (PhD), 1968, conferred by Taras Shevchenko Kyiv University; Doctor of (Physical-Mathematical) Sciences (DSc), 1982, conferred by Mikhail Lomonosov Moscow University; Professor, 1987, Physical-Mathematical Faculty, National Technical University of Ukraine "Kyiv Polytechnic Institute".

Author of 410 publications, including 7 monographs on waves and composite materials and 6 university text-books on waves in materials, viscoelasticity, wavelet analysis, fractal analysis; about 210 journal papers, 6 State Standards and so on.

Publications: in journals of the most prestigious academies of sciences - Comptes Rendus de l'Academie des Sciences, Serie IIb Mecanique; Philosophical Transactions of the Royal Society A: Мathematical, Physical and Engineering Sciences; Atti dell'Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali – French, English, and Italian, respectively; in leading world journals - Applied Mechanics Reviews, Composites. Part A: Applied Science and Manufacturing, Composites Sciences and Technology, International Journal of Solids and Structures, Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM, International Applied Mechanics, Computer Modeling in Engineering and Sciences, International Journal of Nonlinear Sci-ences and Physical Simulation, Mechanics of Composite Materials, Mathematical and Computer Modelling in Dynamical Systems, International Journal of Applied Mathematics and Mechanics and others.

Last books: 1. Cattani C., Rushchitsky J.J. Wavelet and wave analysis as applied to materials with micro- or nanostructure. Singapore-London: World Scientific Publishing Co. Pte. Ltd., 2007. – 466 p. 2. Guz A.N., Rush-chitsky J.J., Guz I.A. Introduction to mechanics of nanocomposites, Kiev: Akademperiodika, 2010. – 398 p. (In Russian). 3. Guz I.A., Rushchitsky J.J., Guz A.N. Mechanical Models in Nanomaterials. In: Handbook of Nano-physics. In 7 vols. Ed. K.D. Sattler. Vol. 1. Principles and Methods. Boca Raton: Taylor & Francis Publisher (CRC Press), 2011. – 827 pp.

Last key journal publications: 1. Revisiting displacement functions in three-dimensional elasticity of inhomoge-neous media. Int. J. of Solids and Structures, 2009, co-author Kashtalyan M. 2. Fragments of the theory of nano-transistors: self-switching of the plane transverse hypersound wave in composite materials, Int.Appl.Mech., 2009. 3. On progress in the theory of nonlinear waves in materials, based on Murnaghan and Signorini potentials (review), Int.Appl.Mech., 2009. 4. On constructing the foundations of mechanics of nanocomposites. Int.Appl. Mech., 2011, co-author Guz A.N. 5. Modeling nanocomposites of complex shape. Int.Appl.Mech., 2011, co-au-thor Guz A.N.

Presentations and lectures delivered at more than 150 international congresses, conferences, symposia and semi-nars (Australia, Austria, Azerbaijan, Armenia, Belarus, Bulgaria, Canada, Chile, China, Czech Republic, Den-mark, Estonia, France, Georgia, Germany, Great Britain, Greece, Hungary, Italy, Israel, Kyrgyzstan, Latvia, Poland, Russia, Serbia, Slovakia, Spain, Sweden, Switzerland, Ukraine, USA, Uzbekistan), membership in scientific and program committees of many international symposia.

Two bases – Thomson Reuters ISI and Google Scholar – differ names Rushchitsky and Rushchitskii and propose (thinking Rushchitsky and Rushchitskii as two different persons) two different lists of publications. Scopus gives the united list for both names, but for the option Rushchitsk* only. Besides that, ISI and Scopus propose two dif-ferent lists: for the having of electronic copies publications and for the publications included into the data base without the electronic copies (books, some articles, abstracts and so on).