Continuum mechanics : constitutive equations and applications / Tariq A. Khraishi and Yu-Lin Shen
- Khraishi, Tariq A., 1968-
- New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
- Physical Description:
- 1 online resource (88 pages).
- Additional Creators:
- Shen, Y. -L. (Yu-Lin)
- Restrictions on Access:
- Restricted to libraries which purchase an unrestricted PDF download via an IP.
- 1. The constitutive equations of elastic solids and Newtonian fluids -- Definition -- Hooken elastic solid -- Newtonian fluid --, 2. Introduction to the equations for conservation of mass and the Navier-Stokes equations -- The equation of continuity (conservation of mass) -- The Navier-Stokes equations --, 3. Torsion of circular shafts -- Torsion of a circular shaft: a classic problem -- Saint-Venant's theory of torsion --, 4. Equations for analysis of beams under bending load -- Comparability equations for stresses -- Bending under terminal couples -- Bending by transverse loading --, and 5. Analysis of elasticity of a plane under stress -- Plane strain -- Generalized plane stress -- Compatibility equations implied by fundamental 2D systems -- Solution of 2D problems using airy stress functions -- Solution by polynomials -- Plane elasticity in polar coordinates -- Axially symmetric problems -- Stress concentration near a circular hole -- Index.
- In the previous chapters we've learned about the definition and meaning of the concepts of stress and strain. One is an objective measure of load and the other is an objective measure of deformation. In fluids, one talks about the rate of deformation as opposed to simply strain (i.e., deformation by itself). We all know, though, that deformation is caused by loads (i.e., there must be a relationship between stress and strain). A relationship between stress and strain (or rate-of-deformation tensor) is simply called a "constitutive equation." Below we will describe how such equations are formulated.
- 9781606507148 electronic
- Includes index.
- Other Forms:
- Also available in print.
- Technical Details:
- Mode of access: World Wide Web.
System requirements: Adobe Acrobat reader.
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