Recent Developments In Anisotropic Heterogeneous Shell Theory
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Recent Developments In Anisotropic Heterogeneous Shell Theory
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer
Release Date : 2016-06-02
Recent Developments In Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Science categories.
This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.
Recent Developments In The Theory Of Shells
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
Recent Developments In The Theory Of Shells written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Technology & Engineering categories.
This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.
Recent Developments In Anisotropic Heterogeneous Shell Theory
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer
Release Date : 2016-06-02
Recent Developments In Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Science categories.
These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations. As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.
Recent Developments In Anisotropic Heterogeneous Shell Theory
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer
Release Date : 2015-12-30
Recent Developments In Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-30 with Science categories.
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.
New Achievements In Continuum Mechanics And Thermodynamics
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Author : Bilen Emek Abali
language : en
Publisher: Springer
Release Date : 2019-03-13
New Achievements In Continuum Mechanics And Thermodynamics written by Bilen Emek Abali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-13 with Science categories.
This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.
Selected Problems Of Solid Mechanics And Solving Methods
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2024-06-04
Selected Problems Of Solid Mechanics And Solving Methods written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with Science categories.
This book examines new approaches for the estimation of errors in approximate theories. Numerical and analytical methods in mechanics often require the establishment of a set of basic equations, and various approaches exist to create approximate theories from them. The problem is that nobody knows the boundaries of the estimation of errors in approximate theories. This book presents new approaches to overcome this problem and to provide the reader with suitable methods for the relevant field, including a representation of different scientific schools and different countries. These new methods are helping to solve many problems not only in analytical Mechanics but also in Physics, Mathematics, and Civil Engineering.
Selected Problems In The Elastodynamics Of Piezoceramic Bodies
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer Nature
Release Date : 2021-05-31
Selected Problems In The Elastodynamics Of Piezoceramic Bodies written by Alexander Ya. Grigorenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Technology & Engineering categories.
This book presents various dynamic processes in non-uniform piezoceramic cylindrical and spherical bodies based on numerical methods. It discusses different variants of nonhomogeneous structural polarized piezoceramic materials in the shape of cylinders and spheres, and highlights the validation of the reliability of the results obtained by numerical calculations. The content is based on an outlined theory and methods of three-dimensional electroelasticity problems.
Sandwich Structures Theory And Responses
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Author : Terry John Hause
language : en
Publisher: Springer Nature
Release Date : 2021-05-20
Sandwich Structures Theory And Responses written by Terry John Hause and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-20 with Technology & Engineering categories.
This book provides a solid foundation from which most practical, theoretical problems related to sandwich structures can be derived and solved. The text brings together many problems found in the literature, such as those concerning buckling, post-buckling, free vibration, and dynamic response under various types of loadings. Sandwich construction with functionally graded facings is also briefly discussed, wherein topics obtain theoretical solutions from one comprehensive, consistent theory. The basic governing equations are presented in orthogonal curvilinear coordinates considering the shallow shell theory, which includes the strain-displacement equations, the constitutive equations, equations of motion, and the compatibility equations. Providing a clear theoretical foundation for engineers and research scientists in need of detail on sandwich structures in professional practice, the book is an ideal reference for understanding these structures through a comprehensive treatment of the theory, mathematical procedures, and applications.
Research In Progress
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Author :
language : en
Publisher:
Release Date : 1964
Research In Progress written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Mathematics categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1970
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mechanics, Applied categories.