Jan Awrejcewicz, Vadim A. Krysko

eBook, PDF

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells (eBook, PDF)

Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 35.05MB

Autor

Jan Awrejcewicz, Technical University of Lodz, Poland / Vadim A. Krysko, Saratov State Technical University, Saratov, Russia

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 429
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642556777
• Artikelnr.: 53086532

Rezensionen

"A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The outlook of the book is quite inviting, and with 222 vivid illustrations and a lucid language style of the text, the book is able to absorb and engage the reader quite well. 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, 266/5, 2003)

"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 follow the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviour." (Zentralblatt MATH 1015, 2003)

"This book presents a 'collection' of mathematical and numerical results pertaining to thermoelastic shell problems. ... this book can certainly be useful to shell experts, especially as regards the techniques demonstrated to model and mathematically analyse thermoelastic effects in shell structures." (Dominique Chapelle, SIAM Review, Vol. 48 (1), 2006)

"In this book the authors describe the non-linear theory of plates and shells. Geometric, physical, elastoplastic and periodic nonlinearities are considered. ... The book is very useful for research activity, concerning both theoretical and applied problems, in nonclassical thermomechanics. Among other merits of the book, I would like to note an advanced analysis of a 'transition' problem, where different physical regimes may exist in different domains of the same problem ... ." (Michele Ciarletta, Mathematical Reviews, 2003 m)

"A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. A comprehensive review of previous research work ... must prove very useful to young researchers ... . Theoutlook of the book is quite inviting, and with 222 vivid illustrations and a lucid language style ... the book is able to absorb and engage the reader quite well. The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity ... ." (K. M. Liew, Journal of Sound Vibration, Vol. 266 (5), 2003)

"This monograph is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. ... The authors make every effort to keep the text intelligible for both practiotioners and graduate students ... so that the reader can understand, analyse and follow the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviour." (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1015, 2003)