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Recent Developments in Anisotropic Heterogeneous Shell Theory (eBook)

General Theory and Applications of Classical Theory - Volume 1
Artikelnummer: 978-981-10-0353-0
Einband: PDF
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This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.

This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.

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VerlagSpringer Nature Singapore
EinbandPDF
Erscheinungsjahr2015
Seitenangabe116 S.
AusgabekennzeichenEnglisch
AbbildungenXVI, 116 p. 25 illus., 24 illus. in color.
Masse2'161 KB
Auflage15001 A. 1st ed. 2016
PlattformPDF
ReiheSpringerBriefs in Continuum Mechanics; SpringerBriefs in Applied Sciences and Technology; Engineering; Engineering
AutorGrigorenko, Alexander Ya. / Müller, Wolfgang H. / Grigorenko, Yaroslav M. / Vlaikov, Georgii G.

Alle Bände der Reihe "SpringerBriefs in Continuum Mechanics; SpringerBriefs in Applied Sciences and Technology; Engineering; Engineering (R0)"

Über den Autor Alexander Ya. Grigorenko

Prof. Dr. Alexander Ya. Grigorenko was born in Kyiv on June 17, 1955. He graduated the cybernetics department of the Kyiv State University in 1977 with a Diploma in Applied Mathematics, has worked at the Institute of Mechanics since 1981, and has headed the department of numerical methods since 2005. He defended PhD thesis in 1980 and Dr. Sci. thesis Phys.-Math.) and in 1993, awarded the title of professor in 2001. His main achievements are in the field of solid mechanics: wave and vibration processes in elastic and electroelastic bodies, numerical analysis of stationary deformation of anisotropic inhomogeneous shells and elastic bodies, dentistry biomechanics.Prof. Dr. Wolfgang H. Müller was born in Wiesbaden (Germany) on April 13, 1959. He graduated from the Technical University in Berlin in  with a Diploma in Physics in 1982. He defended his PhD thesis (TU Berlin) in 1986 and In 1997he finishedhis habilitation work at  the Universität Paderborn and was awarded the Venia Legendi in  Technical Mechanics. Since 2001 he is a full professor of   Continuum  Mechanics and Materials Theory at the Technical University of Berlin.His research is based in the field of theoretical engineering and  materials science.Prof. Dr. Igor A. Loza was born in Kyiv on August 21, 1956. He graduated  the faculty of Transport Construction of the Kyiv National Transport University in 1978, major discipline - bridge and underbridge, has worked at the Institute of Mechanics from 1981 to 1991. From 2003 works in Kyiv National Transport University. Since 2015 is head ofdepartment of theoretical and applied mechanics. He defended PhD thesis in 1984 and Dr. Sci. thesis Phys.-Math. in2012, awarded the title of professor in 2015. His main achievements are in the 3D theory of electroelasticity:dynamical process in electroelastic inhomogeneous bodies.

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