An Introduction to the Mathematical Theory of Vibrations of Elastic Plates |
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| Author:
| Mindlin, Raymond D.
Yang, Jiashi |
| ISBN: | 978-981-277-249-7 |
| Publication Date: | Dec 2006 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $107.00 |
Book Description:
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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...
More DescriptionThis 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.