Recent Developments in the Theory of Shells

Recent Developments in the Theory of Shells

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 798

ISBN-13: 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.


Book Synopsis Recent Developments in the Theory of Shells by : Holm Altenbach

Download or read book Recent Developments in the Theory of Shells written by Holm Altenbach and published by Springer Nature. This book was released on 2019-09-25 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the Theory of Shells: Structural mechanics problems involving dimension-reduced models

Recent Developments in the Theory of Shells: Structural mechanics problems involving dimension-reduced models

Author: Holm Altenbach

Publisher:

Published: 2019

Total Pages: 798

ISBN-13: 9783030177485

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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.


Book Synopsis Recent Developments in the Theory of Shells: Structural mechanics problems involving dimension-reduced models by : Holm Altenbach

Download or read book Recent Developments in the Theory of Shells: Structural mechanics problems involving dimension-reduced models written by Holm Altenbach and published by . This book was released on 2019 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Recent Developments in Anisotropic Heterogeneous Shell Theory

Author: Alexander Ya. Grigorenko

Publisher: Springer

Published: 2016-06-02

Total Pages: 42

ISBN-13: 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.


Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Published: 2016-06-02

Total Pages: 108

ISBN-13: 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.


Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Springer

Published: 2015-12-30

Total Pages: 129

ISBN-13: 981100353X

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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.


Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2015-12-30 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Progress in Continuum Mechanics

Progress in Continuum Mechanics

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2023-11-05

Total Pages: 504

ISBN-13: 3031437365

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This book gives an insight into the current developments in the field of continuum mechanics. Twenty-five researchers present new theoretical concepts, e.g., better inclusion of the microstructure in the models describing material behavior. At the same time, there are also more applications for the theories in engineering practice. In addition to new theoretical approaches in continuum mechanics and applications, the book puts an emphasis on discussing multi-physics problems.


Book Synopsis Progress in Continuum Mechanics by : Holm Altenbach

Download or read book Progress in Continuum Mechanics written by Holm Altenbach and published by Springer Nature. This book was released on 2023-11-05 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an insight into the current developments in the field of continuum mechanics. Twenty-five researchers present new theoretical concepts, e.g., better inclusion of the microstructure in the models describing material behavior. At the same time, there are also more applications for the theories in engineering practice. In addition to new theoretical approaches in continuum mechanics and applications, the book puts an emphasis on discussing multi-physics problems.

Theories of Plates and Shells

Theories of Plates and Shells

Author: Reinhold Kienzler

Publisher: Springer Science & Business Media

Published: 2013-06-01

Total Pages: 258

ISBN-13: 3540399054

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Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.


Book Synopsis Theories of Plates and Shells by : Reinhold Kienzler

Download or read book Theories of Plates and Shells written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2013-06-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Analysis of Shells, Plates, and Beams

Analysis of Shells, Plates, and Beams

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2020-06-03

Total Pages: 470

ISBN-13: 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.


Book Synopsis Analysis of Shells, Plates, and Beams by : Holm Altenbach

Download or read book Analysis of Shells, Plates, and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Approaches in the Theory of Plates and Plate-Like Structures

Recent Approaches in the Theory of Plates and Plate-Like Structures

Author: Holm Altenbach

Publisher: Springer

Published: 2022-12-31

Total Pages: 0

ISBN-13: 9783030871871

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This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.


Book Synopsis Recent Approaches in the Theory of Plates and Plate-Like Structures by : Holm Altenbach

Download or read book Recent Approaches in the Theory of Plates and Plate-Like Structures written by Holm Altenbach and published by Springer. This book was released on 2022-12-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Modern Trends in Structural and Solid Mechanics 2

Modern Trends in Structural and Solid Mechanics 2

Author: Noel Challamel

Publisher: John Wiley & Sons

Published: 2021-06-29

Total Pages: 306

ISBN-13: 1786307154

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This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.


Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.