Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells
Subtitle: Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods
By: by Jan Awrejcewicz, Vadim A. Krys'ko
Contributors: Krys'ko, Vadim A.
Series: Scientific Computation, 1434-8322; Scientific computation
Publisher: Springer Berlin Heidelberg; Imprint; Springer
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 428
ISBN-13: 9783642556777
Description: 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.
Table of contents: title: From the Contents: Introduction; title: Coupled Thermoelasticity and Transonic Gas Flow; title: Errors Estimation of the Bubnov-Galerkin Method; title: Numerical Investigations of MBG Errors; title: Coupled Nonlinear Thermoelastic Problem; title: Theory with Physical Nonlinearities and Coupling; title: Nonlinear Problems of Hybrid Form Equations; title: Thin Elasto-Plastic Shells Dynamics; title: Nonsolved Problems in Nonlinear Dynamics of Shells.