Plate and panel structures of isotropic, composite and piezoelectric materials, including sandwich construction.
type: Item
instance of: scholarly article
title: Plate and panel structures of isotropic, composite and piezoelectric materials, including sandwich construction.
zbMATH Open document ID: 1079.74002
author: Jack R. Vinson
published in: Solid Mechanics and Its Applications
publication date: 2005-02-14T00:00:00Z
review text: This textbook is aimed at both graduate and post-graduate students who have taken a course on the mechanics of materials. It is assumed that the reader has a basic knowledge of analytical mechanics and the strength of materials, as well as of mathematics in the framework of the basic technical course at university level. This book is divided into 4 chapters: plates and panels of isotropic materials; plates and panels of composite materials; plates and panels of sandwich construction and plates using smart (piezoelectric) materials. Readers can find topics of chapter 1 in classical books [\textit{S. Timoshenko} and \textit{S. Woinowsky-Krieger}, Theory of plates and shells. Moskau: Staatsverlag für physikalische-mathematische Literatur (1963; Zbl 0114.40801); \textit{S. Timoshenko}, \textit{D. H. Young} and \textit{W. Weaver jun.}, Vibration problems in engineering. John Wiley, New York (1974); \textit{S. Timoshenko} and \textit{J. M. Gere}, Theory of elastic stability. McGraw-Hill, New York (1961)], which have not lost scientific and pedagogical importance. Chapters 2 and 3 contain the results for anisotropic plates. Here the classical book by \textit{S. G. Lekhnitskii} [Anisotropic plates. Gordon \& Breach, New York (1981)] can be recommended, but the book by Vinson contains a greater quantity of modern results. Chapter 4 is too short and cannot be used as a textbook. The author describes only relatively simple analytical solutions and has omitted various rigorous mathematical calculations as well as descriptions of modern codes. This is good from the pedagogical standpoint. In general, the book by Vinson is a reader-friendly well-organised textbook in the field of mechanics of plates and panels. Each section includes a list of problems. It can be recommended to students of technological universities and institutes.
Mathematics Subject Classification ID: 74-01
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 2134008
zbMATH Keywords: stress
zbMATH Keywords: strain
zbMATH Keywords: oscillation
zbMATH Keywords: stability
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2134008