2. Mechanics of Classical Continuous Systems

  1. Ismael Herrera and
  2. George F. Pinder

Published Online: 19 MAR 2012

DOI: 10.1002/9781118207239.ch2

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

How to Cite

Herrera, I. and Pinder, G. F. (2012) Mechanics of Classical Continuous Systems, in Mathematical Modeling in Science and Engineering: An Axiomatic Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118207239.ch2

Publication History

  1. Published Online: 19 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118087572

Online ISBN: 9781118207239

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Keywords:

  • one-phase systems;
  • mass conservation;
  • linear momentum balance;
  • angular momentum balance;
  • kinetic energy

Summary

This chapter contains sections titled:

  • One-Phase Systems

  • The Basic Mathematical Model of One-Phase Systems

  • The Extensive/Intensive Properties of Classical Mechanics

  • Mass Conservation

  • Linear Momentum Balance

  • Angular Momentum Balance

  • Energy Concepts

  • The Balance of Kinetic Energy

  • The Balance of Internal Energy

  • Heat Equivalent of Mechanical Work

  • Summary of Basic Equations for Solid and Fluid Mechanics

  • Some Basic Concepts of Thermodynamics

  • Summary

  • Exercises