Abstract
Variational principles are widely applied to solving the problems of stability theory for thin-walled structures. They deliver sufficiently accurate results using rather small set of co-ordinate functions due to the integral nature of critical loads for deformed systems. This feature contributed to detailed and consistent development of variational principles in stability theory of thin-walled structures. Following this trend variational principles of the TLTDBS for compressible and incompressible bodies are developed and proved in this section in the general form for different types of solids. In doing so, results on stability criteria and problem statements in general form, obtained in Sects.10,11 , will be substantially used.
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© 1999 Springer-Verlag Berlin Heidelberg
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Guz, A.N. (1999). Variational principles. In: Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69633-9_13
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DOI: https://doi.org/10.1007/978-3-540-69633-9_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-21923-2
Online ISBN: 978-3-540-69633-9
eBook Packages: Springer Book Archive