Singular Problems In Shell Theory
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Singular Problems In Shell Theory
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Author : Evariste Sanchez-Palencia
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-07
Singular Problems In Shell Theory written by Evariste Sanchez-Palencia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-07 with Science categories.
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.
Shell Theory
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Author : Frithiof I. Niordson
language : en
Publisher:
Release Date : 1991
Shell Theory written by Frithiof I. Niordson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
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.
A Theory Of Latticed Plates And Shells
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Author : G I Pshenichnov
language : en
Publisher: World Scientific
Release Date : 1993-03-17
A Theory Of Latticed Plates And Shells written by G I Pshenichnov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-17 with Science categories.
The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented. Contents:Reticulated Shell Theory: EquationsDecomposition MethodStaticsStabilityVibrationMultilayer Systems Readership: Researchers in mathematical physics and engineers. keywords:Mechanics;Elasticity;Latticed Plates;Latticed Shells;Decomposition Method;Multilayer Systems;Composite;Shell Statics;Shell Stability;Shell Vibration
Cusped Shell Like Structures
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Author : George Jaiani
language : en
Publisher: Springer
Release Date : 2011-08-05
Cusped Shell Like Structures written by George Jaiani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-05 with Technology & Engineering categories.
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.
Nonlinear Mechanics Of Thin Walled Structures
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Author : Yury Vetyukov
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-23
Nonlinear Mechanics Of Thin Walled Structures written by Yury Vetyukov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-23 with Science categories.
This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.
Mathematical Modelling
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Author : Hemen Dutta
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-12
Mathematical Modelling written by Hemen Dutta and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-12 with Mathematics categories.
This volume is a collection of chapters that present several key principles and theories, as well as their potential uses in the development of mathematical models in areas like waves, thermodynamic, electromagnetics, fluid dynamics, and catastrophes. The techniques and methodologies used in this book, on the other hand, should have a long-term impact and be applicable to a wide range of different topics of study and research. Each chapter should also help readers in gaining a better knowledge of the underlying and connected concepts. The companion volume (Contemporary Mathematics, Volume 787) is devoted to theory and application.
Boundary Elements And Other Mesh Reduction Methods Xlii
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Author : Cheng, A. H-D
language : en
Publisher: WIT Press
Release Date : 2019-09-13
Boundary Elements And Other Mesh Reduction Methods Xlii written by Cheng, A. H-D and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-13 with Mathematics categories.
Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.
Iutam Symposium On Asymptotics Singularities And Homogenisation In Problems Of Mechanics
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Author : A.B. Movchan
language : en
Publisher: Springer
Release Date : 2006-05-09
Iutam Symposium On Asymptotics Singularities And Homogenisation In Problems Of Mechanics written by A.B. Movchan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-09 with Science categories.
Proceedings of the IUTAM Symposium held in Liverpool, UK, 8-11 July 2002
Fracture Mechanics
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Author : Alan T. Zehnder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-03
Fracture Mechanics written by Alan T. Zehnder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-03 with Science categories.
Fracture mechanics is a vast and growing field. This book develops the basic elements needed for both fracture research and engineering practice. The emphasis is on continuum mechanics models for energy flows and crack-tip stress- and deformation fields in elastic and elastic-plastic materials. In addition to a brief discussion of computational fracture methods, the text includes practical sections on fracture criteria, fracture toughness testing, and methods for measuring stress intensity factors and energy release rates. Class-tested at Cornell, this book is designed for students, researchers and practitioners interested in understanding and contributing to a diverse and vital field of knowledge.