INTRODUCTION TO THE MATHEMATICAL THEORY OF VIBRATIONS OF ELASTIC PLATES, AN - BY R D MINDLIN - Hardcover

YANG JIASHI

Hardcover

ISBN 10: 9812703810 ISBN 13: 9789812703811

Publisher: World Scientific Publishing, 2006

Synopsis

This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2006
• Language: English
• ISBN 10: 9812703810
• ISBN 13: 9789812703811
• Binding: Hardcover
• Number of pages: 212
• Editor: Jiashi Yang