New PDF release: Differential Geometry and Kinematics of Continua

By John D Clayton

This booklet presents definitions and mathematical derivations of basic relationships of tensor research encountered in nonlinear continuum mechanics and continuum physics, with a spotlight on finite deformation kinematics and classical differential geometry. Of specific curiosity are anholonomic facets coming up from a multiplicative decomposition of the deformation gradient into phrases, neither of which in isolation inevitably obeys the integrability stipulations happy via the gradient of a tender vector box. The concise structure emphasizes readability and simplicity of reference, and precise step by step derivations of such a lot analytical effects are provided.

Contents:

  • Introduction
  • Geometric Fundamentals
  • Kinematics of Integrable Deformation
  • Geometry of Anholonomic Deformation
  • Kinematics of Anholonomic Deformation
  • List of Symbols
  • Bibliography
  • Index

Readership: Researchers in mathematical physics and engineering mechanics.

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Differential Geometry and Kinematics of Continua by John D Clayton


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