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Recent Developments in Anisotropic Heterogeneous Shell Theory

Recent Developments in Anisotropic Heterogeneous Shell Theory
Author: Alexander Ya. Grigorenko
Publisher: Springer
Total Pages: 50
Release: 2016-06-02
Genre: Science
ISBN: 9811006458

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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 Anisotropic Heterogeneous Shell Theory

Recent Developments in Anisotropic Heterogeneous Shell Theory
Author: Alexander Ya. Grigorenko
Publisher: Springer
Total Pages: 117
Release: 2016-06-02
Genre: Science
ISBN: 9811015961

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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

Recent Developments in Anisotropic Heterogeneous Shell Theory
Author: Alexander Ya Grigorenko
Publisher:
Total Pages: 129
Release: 2016
Genre: Mechanics
ISBN:

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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.


Selected Problems in the Elastodynamics of Piezoceramic Bodies

Selected Problems in the Elastodynamics of Piezoceramic Bodies
Author: Alexander Ya. Grigorenko
Publisher: Springer Nature
Total Pages: 239
Release: 2021-05-31
Genre: Technology & Engineering
ISBN: 3030741990

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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.


Recent Developments in the Theory of Shells

Recent Developments in the Theory of Shells
Author: Holm Altenbach
Publisher: Springer Nature
Total Pages: 798
Release: 2019-09-25
Genre: Technology & Engineering
ISBN: 3030177475

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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.


New Achievements in Continuum Mechanics and Thermodynamics

New Achievements in Continuum Mechanics and Thermodynamics
Author: Bilen Emek Abali
Publisher: Springer
Total Pages: 586
Release: 2019-03-13
Genre: Science
ISBN: 3030133079

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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.


Analysis of Shells, Plates, and Beams

Analysis of Shells, Plates, and Beams
Author: Holm Altenbach
Publisher: Springer Nature
Total Pages: 470
Release: 2020-06-03
Genre: Science
ISBN: 3030474917

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This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.


Shell-like Structures

Shell-like Structures
Author: Holm Altenbach
Publisher: Springer Science & Business Media
Total Pages: 753
Release: 2011-07-03
Genre: Technology & Engineering
ISBN: 3642218555

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In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.


Advances in Design, Simulation and Manufacturing V

Advances in Design, Simulation and Manufacturing V
Author: Vitalii Ivanov
Publisher: Springer Nature
Total Pages: 587
Release: 2022-05-24
Genre: Technology & Engineering
ISBN: 3031060253

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This book reports on topics at the interface between manufacturing and materials engineering, with a special emphasis on smart and sustainable manufacturing. It describes innovative research in design engineering and manufacturing technology, covering the development and characterization of advanced materials alike. It also discusses key aspects related to ICT in engineering education. Based on the 5th International Conference on Design, Simulation, Manufacturing: The Innovation Exchange (DSMIE-2022), held on June 7-10, 2022, in Poznan, Poland, this first volume of a 2-volume set provides academics and professionals with extensive information on trends and technologies, and challenges and practice-oriented experience in all the above-mentioned areas.