Biharmonic Problem in the Theory of Elasticity

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A01=Lurie
A01=Sergey A. Lurie
advanced continuum mechanics
analytical solution methods
applied solid mechanics
Author_Lurie
Author_Sergey A. Lurie
Axisymmetric Problem
Biharmonic Equation
Biharmonic Problem
Boundary Conditions
Boundary Function
Cartesian Coordinates
Category=PHU
Classical Plate Theory
Cylindrical Coordinates
elastic behaviour
elasticity
Engineering Elastic Constants
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eq_isMigrated=2
eq_nobargain
eq_non-fiction
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exact solutions elasticity problems
External Lateral Surface
Fourier Bessel Series
Homogeneous Solutions
mathematical modelling elasticity
mathematical physics
mechanical engineering research
Mellin Integral Transform
Mellin Transform
Normalized Deflection
Normalized Normal Stresses
Ordinary Differential Equation
Plate Theory
Polar Coordinates
Pure Bending
Satisfy Boundary Conditions
Stress Function
structural deformation analysis
Transverse Edges
Trigonometric Series

Product details

  • ISBN 9781138442177
  • Weight: 453g
  • Dimensions: 190 x 254mm
  • Publication Date: 24 May 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. All applications are illustrated with numerical examples.
Sergey A. Lurie, Valery Vasiliev

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