A Nonlinear Theory for Thin Elastic Shells
| Author | : Gunvant Chauhan |
| Publisher | : |
| Total Pages | : 78 |
| Release | : 1972 |
| Genre | : Elastic plates and shells |
| ISBN | : |
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The Nonlinear Theory of Elastic Shells
| Author | : A. Libai |
| Publisher | : Cambridge University Press |
| Total Pages | : 564 |
| Release | : 1998-02-13 |
| Genre | : Mathematics |
| ISBN | : 0521472369 |
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A clear, thorough explanation of the nonlinear behaviour of shells, for researchers and graduate students.
The Nonlinear Theory of Elastic Shells
| Author | : A. Libai |
| Publisher | : Elsevier |
| Total Pages | : 429 |
| Release | : 2012-12-02 |
| Genre | : Technology & Engineering |
| ISBN | : 0323150810 |
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The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
A Nonlinear Theory for Thin Elastic Shells Including the Effects of Transverse Shear Stress, Transverse Normal Stress and Transverse and Rotary Inertia
| Author | : Torpong Torsuwan |
| Publisher | : |
| Total Pages | : 126 |
| Release | : 1971 |
| Genre | : Elastic plates and shells |
| ISBN | : |
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Non-linear Theory of Thin Elastic Shells
| Author | : Ch. M. Muštari |
| Publisher | : |
| Total Pages | : 374 |
| Release | : 1957 |
| Genre | : |
| ISBN | : |
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The Nonlinear Theory of Elastic Shells
| Author | : A. Libai |
| Publisher | : Cambridge University Press |
| Total Pages | : 562 |
| Release | : 1998-02-13 |
| Genre | : Science |
| ISBN | : 9780521472364 |
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Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book explains shell theory, with numerous examples and applications. This second edition not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
Non-linear Theory of Thin Elastic Shells
| Author | : Kh. M. Mushtari |
| Publisher | : |
| Total Pages | : 772 |
| Release | : 1961 |
| Genre | : Elastic Analysis (structural Engineering) |
| ISBN | : |
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Nonlinear Theories for Thin Shells
| Author | : J. Lyell Sanders |
| Publisher | : |
| Total Pages | : 74 |
| Release | : 1961 |
| Genre | : Elastic plates and shells |
| ISBN | : |
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Strain-displacement relations for thin shells valid for large displacements are derived. With these as a starting point approximate straindisplacement relations and equilibrium equations are derived by making certain simplifying assumptions. In particular the middle surface strains are assumed small and the rotations are assumed moderately small. The resulting equations are suitable as a starting point for stability investigations or other problems in which the effects of deformation on equilibrium cannot be ignored, but in which the rotations are not too large. The linearized forms of several of the sets of equations derived coincide with small deflection theories in the literature. (Author).
Theory of Elastic Thin Shells
| Author | : A. L. Gol'Denveizer |
| Publisher | : Elsevier |
| Total Pages | : 681 |
| Release | : 2014-05-15 |
| Genre | : Technology & Engineering |
| ISBN | : 1483164624 |
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Theory of Elastic Thin Shells discusses the mathematical foundations of shell theory and the approximate methods of solution. The present volume was originally published in Russian in 1953, and remains the only text which formulates as completely as possible the different sets of basic equations and various approximate methods of shell analysis emphasizing asymptotic integration. The book is organized into five parts. Part I presents the general formulation and equations of the theory of shells, which are based on the well-known hypothesis of the preservation of the normal element. Part II is devoted to the membrane theory--the most widely used approximate method of analysis of shells that was formulated at approximately the same time as the more general bending theory. In Part III methods of analysis of circular cylindrical shells with the aid of trigonometric series are considered. Part IV is essentially mathematical in character and its purpose is to justify the approximate methods of shell analysis. In Part V approximate methods of analysis of shells are formulated.
Nonlinear Shell Theories by Means of a Stationary Theorem
| Author | : Gerald A. Wempner |
| Publisher | : |
| Total Pages | : 25 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
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A general stationary theorem provides the governing equations of a shell theory. Approximations of the displacements, strains and stresses, and the subsequent variations of the two-dimensional fields, produce the equilibrium equations, constitutive equations and the strain-displacement relations of the shell theory. The variational procedure is used to derive a hierarchy of multi-couple theories; the zero couple and one-couple theories are the membrane and bending theories, respectively. Both reduce to accepted approximations under the assumption of plane-stress. The procedure is also employed to obtain a first-approximation which accounts for extension, flexure and transverse shear. The approach provides a simple and direct development of the nonlinear theory for thin elastic shells. (Author).
