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.

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.

Show description

Read Online or Download Differential Geometry and Kinematics of Continua PDF

Similar mechanics books

Computational Structural Analysis and Finite Element Methods

Graph thought won preliminary prominence in technological know-how and engineering via its powerful hyperlinks with matrix algebra and laptop technology. in addition, the constitution of the math is easily fitted to that of engineering difficulties in research and layout. The tools of study during this e-book hire matrix algebra, graph concept and meta-heuristic algorithms, that are splendid for contemporary computational mechanics.

Men of Physics: L.D. Landau: Thermodynamics, Plasma Physics and Quantum Mechanics

Males of Physics: L. D. Landau, quantity 2: Thermodynamics, Plasma Physics and Quantum Mechanics is devoted to L. D. Landau's contributions within the fields of thermodynamics, plasma physics, and quantum mechanics. Landau's idea of second-order part transitions is mentioned, with his contributions to nuclear physics, astrophysics, cosmic ray physics, and quantum box thought.

Distributions and Their Applications in Physics: International Series in Natural Philosophy (Monographs in Natural Philosophy)

Distributions and Their functions in Physics is the advent of the speculation of Distributions and their functions in physics. The publication incorporates a dialogue of these issues below the idea of Distributions which are already thought of vintage, which come with neighborhood distributions; distributions with compact help; tempered distributions; the distribution idea in relativistic physics; etc.

Wave Propagation and Scattering in Random Media: Multiple Scattering, Turbulence, Rough Surfaces, and Remote Sensing: 002

Wave Propagation and Scattering in Random Media, quantity 2, offers the basic formulations of wave propagation and scattering in random media in a unified and systematic demeanour. the themes lined during this booklet will be grouped into 3 different types: waves in random scatterers, waves in random continua, and tough floor scattering.

Extra info for Differential Geometry and Kinematics of Continua

Sample text

Download PDF sample

Rated 4.69 of 5 – based on 27 votes