Cusped Shell-Like Structures
Cusped Shell-Like Structures

Author: George Jaiani

Publisher: Springer Science & Business Media

Published: 2011-07-31

Total Pages: 83

ISBN-13: 3642221017

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The book is devoted to an up-dated exploratory survey of results concerning elastic cusped shells, plates, and beams and cusped prismatic shell-fluid interaction problems. It contains some up to now non-published results as well. Mathematically the corresponding problems lead to non-classical, in general, boundary value and initial-boundary value problems for governing degenerate elliptic and hyperbolic systems in static and dynamical cases, respectively. Its uses two fundamentally different approaches of investigation: 1) to get results for two-dimensional and one-dimensional problems from results of the corresponding three-dimensional problems and 2) to investigate directly governing degenerate and singular systems of 2D and 1D problems. In both the cases, it is important to study relation of 2D and 1D problems to 3D problems.

Shell-like Structures
Shell-like Structures

Author: Holm Altenbach

Publisher: Springer

Published: 2016-08-09

Total Pages: 293

ISBN-13: 3319422774

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The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Shell-like Structures
Shell-like Structures

Author: Holm Altenbach

Publisher: Springer Science & Business Media

Published: 2011-07-03

Total Pages: 753

ISBN-13: 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.

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 Nature

Published: 2022-01-01

Total Pages: 326

ISBN-13: 3030871851

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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.

Potential Method in Mathematical Theories of Multi-Porosity Media
Potential Method in Mathematical Theories of Multi-Porosity Media

Author: Merab Svanadze

Publisher: Springer Nature

Published: 2019-11-01

Total Pages: 302

ISBN-13: 3030280225

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This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.

The Sun from Space
The Sun from Space

Author: Kenneth R. Lang

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 368

ISBN-13: 3662042800

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A comprehensive account of solar astrophysics and how our perception and knowledge of this star have gradually changed as mankind has elucidated ever more of its mysteries. The emphasis here is on the last decade, which has seen three successful solar spacecraft missions: SOHO, Ulysses and Yohkoh. Together, these have confirmed many aspects of the solar standard model and provided new clues to the numerous open questions that remain. The author, a leading researcher in the field, writes in a clear and concise style. Known also for his famous books "Astrophysical Formulae", "Sun, Earth and Sky" and the prize-winning "Wanderers in Space", he has succeeded once again in addressing a complex scientific topic in a very approachable way.

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.