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  3. Elasticity with Mathematica ®
  • Cited by 17
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      October 2007
      ISBN:
      9780511546167
      9780521842013
      9781107406131
      DOI:
      https://doi.org/10.1017/CBO9780511546167
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.68kg, 266 Pages
      Dimensions:
      (254 x 178 mm)
      Weight & Pages:
      0.47kg, 266 Pages
      • Subjects:
      Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
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    • Selected: Digital
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    Subjects:
    Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
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    Book description

    This book introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. As a consequence, vector and tensor objects can be manipulated readily, and fundamental concepts can be illustrated and problems solved with ease. The method is illustrated using a variety of plane and three-dimensional elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.

    Reviews

    Review of the hardback:'… a useful book for anybody interested in problems in elasticity … provides a refreshing alternative to throwing every problem into a finite element solver. It would be an excellent textbook for a graduate course in elasticity.'

    Source: Contemporary Physics

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