Mathematical Theory of Elasticity

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A01=Jozef Ignaczak
A01=Mumtaz Kassir
A01=Richard B. Hetnarski
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Author_Mumtaz Kassir
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Concentrated Heat Source
Continuum Mechanics
Convolutional Variational Principles
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Displacement Vector
Dynamic Thermal Stresses
Elastic State
Elasticity
Elastodynamics
Elastostatics
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Field Equation
Generalized Plane Stress
Homogeneous Initial Conditions
Infinite Elastic Body
Kinematics
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Laplace Transform
Laplace Transforms
Linear Elasticity
Mechanical Engineering
Minimum Complementary Energy
Mixed Problem
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Parabolic Heat Conduction Equation
Plane Strain Conditions
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Progressive Wave
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Strain Displacement Relations
Stress Concentration Factor
Stress Free Boundary Conditions
Stress Wave
Tensor Field
Thermoelastic State
Thermoelastodynamics
Thermoelastostatics
Traction Boundary Condition

Product details

  • ISBN 9781439828885
  • Weight: 1587g
  • Dimensions: 178 x 254mm
  • Publication Date: 18 Oct 2010
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results.

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.