The Mathematical Theory of Elasticity
CRC Press (Verlag)
978-1-138-37435-5 (ISBN)
New to the Second Edition
Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function
Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites
The Cauchy relations in elasticity
A body force analogy for the transient thermal stresses
A three-part table of Laplace transforms
An appendix that explores recent developments in thermoelasticity
Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions.
This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.
Richard B. Hetnarski, PE, is professor emeritus in the Department of Mechanical Engineering at the Rochester Institute of Technology. He has also held positions at Cornell University, NASA, and the Polish Academy of Sciences. Dr. Hetnarski is the founder and president of the International Congresses on Thermal Stresses (ICTS) and the founder and editor of the Journal of Thermal Stresses. He has published extensively in the areas of mechanics and mathematics. Józef Ignaczak is professor emeritus in the Institute of Fundamental Technological Research of the Polish Academy of Sciences, where he was awarded the 50-year Anniversary Medal. Dr. Ignaczak has also been a recipient of the Golden Cross of Merit and the Polonia Restituta Cross (KKOOP) from the Polish State Council; the Twentieth Century Achievement Award, the Presidential Seal of Honor, the Platinum Record for Exceptional Performance, and the 2000 Millennium Medal of Honor from the American Biographical Institute (ABI); and the Honorary Achievement Award from the 1997 Symposium on Thermal Stresses. Over the years, his research has focused on the development of linear elastodynamics and dynamic coupled classical and nonclassical thermoelasticity.
Historical Note, Theory, Examples, and Problems: Creators of the Theory of Elasticity. Mathematical Preliminaries. Fundamentals of Linear Elasticity. Formulation of Problems of Elasticity. Variational Formulation of Elastostatics. Variational Principles of Elastodynamics. Complete Solutions of Elasticity. Formulation of Two-Dimensional Problems. Applications and Problems: Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics. Solutions to Particular Two-Dimensional Boundary Value Problems of Elastostatics. Solutions to Particular Three-Dimensional Initial-Boundary Value Problems of Elastodynamics. Solutions to Particular Two-Dimensional Initial-Boundary Value Problems of Elastodynamics. One-Dimensional Solutions of Elastodynamics. Appendix. Indices.
| Erscheinungsdatum | 19.03.2019 |
|---|---|
| Zusatzinfo | 4 Tables, black and white; 108 Illustrations, black and white |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 453 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Technik ► Bauwesen | |
| Technik ► Maschinenbau | |
| Technik ► Umwelttechnik / Biotechnologie | |
| ISBN-10 | 1-138-37435-0 / 1138374350 |
| ISBN-13 | 978-1-138-37435-5 / 9781138374355 |
| Zustand | Neuware |
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