Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells : Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods

Jan Awrejcewicz

ISBN 10: 3540438807 / ISBN 13: 9783540438809

Editore: Springer, Berlin, Springer, 2002

Riguardo questo articolo

Neuware - This monograph describes some approaches to the nonlinear theory of plates and shells. By nonclassical approaches we mean the desciption of problems with mathematical models of different sizes (two-and three-dimensional dif ferential equations) and different types (differential equations of hyperbolic and parabolic type in the spatial coordinates). The nonlinearities investigated are also of various categories: geometrical, physical, elasto-plastic, and peri odic. Creating such types of mathematical models and their detailed justifica tion allows us to achieve the most accurate description of the real behaviour of shell-type structures. These models allow us to include interaction between the strain and temperature fields and coupling between the displacement field and the external influence of a transonic gas flow. The mathematical treatment of such models helps us greatly in obtaining reliable results by numerical computation. It appears that the most dangerous situation for thin shallow shells is the conjunction of a static load with dynamic interactions. Such combined loads very often cause buckling of shell structures, and in many cases a series of bucklings, which can cause fracture. The failure of a structure usually needs a small amount of time. Therefore the lifetime of a shell structure depends strongly on nonelastic deflections and it is important to mathematically model shell structures as precisely as possible. This monograph is one of several devoted to this subject. Now we shall briefly describe the contents of the book. Note that not all of the results presented here have been published in textbook format.

Codice articolo 9783540438809

Dati bibliografici

• Titolo: Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells : Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods
• Editore: Springer, Berlin, Springer
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540438807
• ISBN 13: 9783540438809
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 193 A x 36 P (millimetri) 241 millimetri di larghezza per 193 millimetri di altezza per 36 millimetri di profondità
• Peso: 768 grammi

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Riassunto

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Dalla quarta di copertina

This monograph, addressing researchers as well as engineers, is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. Differential equations of different dimensionality and different type have to be combined and nonlinearities of different geometrical, physical or elasto-plastic categories are addressed. Special emphasis is given to the Bubnov--Galerkin method. It can be applied to many problems in the theory of plates and shells, even those with very complex geometries, holes and various boundary conditions. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.