Applied Continuum Mechanics
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Applied Continuum Mechanics

Applied Continuum Mechanics

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About the Book

Continuum mechanics is concerned with the global behaviour of gases, liquids, or solids. The concept is particularly useful in engineering in that it represents a way of visualising a physical model that approximates everyday observations, instead of analysing the actual complex motion of discrete molecules. This book offers a concise, applications-oriented introduction to continuum mechanics. It begins with a review of vectors and tensors and their applications to the domain and boundary integrals. The remaining chapters cover kinematics, equilibrium and kinetics, elastic solids and Newtonian fluids. Every chapter includes numerous worked examples and problems. In providing a reasonable balance between mathematical rigour and practical applications, between solids and fluids, and between linear and nonlinear theories, this timely book will be useful to engineering students, as well as practising engineers and applied scientists.

Table of Contents:
1. Introduction; 1.1 General; 1.2 Vectors and tensors; 1.3 Green–gauss theorem and boundary surfaces; 2. Deformations and kinematics; 2.1 General; 2.2 Coordinate systems; 2.3 Non-cartesian; 2.4 Strain tensor; 2.5 Rate-of-deformation tensor; 2.6 Coordinate transformations for strains; 2.7 Dilatational and deviatoric properties; 2.8 Compatibility equations; 3. Equilibrium and kinetics; 3.1 General; 3.2 Forces and stresses; 3.3 Basic balance laws; 3.4 Coordinate transformations for stresses; 3.5 Deviatoric stress tensor; 3.6 Stresses with large strains; 3.7 Equations of motion for large strains; 4. Elastic solids; 4.1 Constitutive equations for linear elastic Solids; 4.2 Navier equations; 4.3 Energy principles; 4.4 Thermodynamics of solids; 4.5 Finite elasticity; 4.6 Torsional stress; 4.7 Fiber components; 5. Newtonian fluids; 5.1 Introduction; 5.2 Constitutive equations; 5.3 Navier–Stokes system of equations; 5.4 Compressible viscous flow; 5.5 Ideal flow; 5.6 Rotational flow; 5.7 Turbulence; 5.8 Boundary layer; 5.9 Convective heat transfer; 5.10 High-speed aerodynamics; 5.11 Acoustics; 5.12 Reacting flows; References.


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Product Details
  • ISBN-13: 9780521482974
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 235 mm
  • No of Pages: 272
  • Returnable: N
  • Returnable: N
  • Weight: 522 gr
  • ISBN-10: 0521482976
  • Publisher Date: 26 Jan 1996
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 18 mm
  • Width: 158 mm


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Applied Continuum Mechanics
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