Differential Geometry and Kinematics of Continua by John D Clayton

By John D Clayton

This e-book 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 elements bobbing up from a multiplicative decomposition of the deformation gradient into phrases, neither of which in isolation unavoidably obeys the integrability stipulations chuffed by means of the gradient of a tender vector box. The concise structure emphasizes readability and simplicity of reference, and targeted step by step derivations of such a lot analytical effects are provided.


  • 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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