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Titlebook: Geometric Method for Stability of Non-Linear Elastic Thin Shells; Jordanka Ivanova,Franco Pastrone Book 2002 Springer Science+Business Med

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书目名称Geometric Method for Stability of Non-Linear Elastic Thin Shells
编辑Jordanka Ivanova,Franco Pastrone
视频video
图书封面Titlebook: Geometric Method for Stability of Non-Linear Elastic Thin Shells;  Jordanka Ivanova,Franco Pastrone Book 2002 Springer Science+Business Med
描述PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov‘s monographs were written in Russian, which limited
出版日期Book 2002
关键词construction; deformation; instability; shells; stability
版次1
doihttps://doi.org/10.1007/978-1-4615-1511-1
isbn_softcover978-1-4613-5590-8
isbn_ebook978-1-4615-1511-1
copyrightSpringer Science+Business Media New York 2002
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Variational Principle for the Global Stability of Elasto-Plastic Thin Shells,ymptotic approximation of isometric transformation is a non-trivial solution of Monge-Amper’s equation. Following the second asymptotic iteration of the corresponding partial differential equations we obtain the ordinary differential equations for the functions regularizing the solution. These funct
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Book 2002. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov‘s monographs were written in Russian, which limited
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Dubbel: Taschenbuch für den Maschinenbauymptotic approximation of isometric transformation is a non-trivial solution of Monge-Amper’s equation. Following the second asymptotic iteration of the corresponding partial differential equations we obtain the ordinary differential equations for the functions regularizing the solution. These funct
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Crushing of Plastic Cylindrical Shells Sensitive to the Strain Rate under Axial Impact,ed structures and with those features of the process which are necessary for predicting the structure behaviour. We shall use various methods and approximation techniques [1–4, 10, 83, 116–117, 119, 142, 158, 210, 228–232, 251–256].
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