NitroFlare Continuum mechanics constitutive equations and applications

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    Khraishi, Tariq A.; Shen, Yu-Lin, "Continuum mechanics: constitutive equations and applications"
    English | ISBN: 9781606507148, 1606507141 | 2016 | 94 pages | PDF | 10 MB


    Chapter 1 The Constitutive Equations of Elastic Solids and
    Newtonian Fluids ..............................................................1
    Definition .........................................................................1
    Hooken Elastic Solid .........................................................2
    Newtonian Fluid .............................................................20
    Chapter 2 Introduction to the Equations for Conservation of
    Mass and the Navier-Stokes Equations ............................25
    Defintion ........................................................................25
    The Equation of Continuity (Conservation of Mass) .......25
    The Navier-Stokes Equations...........................................28
    Chapter 3 Torsion of Circular Shafts ...............................................35
    Torsion of a Circular Shaft: A Classic Problem ................35
    Saint-Venant's Theory of Torsion .....................................39
    Chapter 4 Equations for Analysis of Beams
    Under Bending Load .......................................................51
    Comparability Equations for Stresses ..............................51
    Bending Under Terminal Couples ...................................53
    Bending by Transverse Loading .......................................55
    Chapter 5 Analysis of Elasticity of a Plane Under Stress ...................63
    Plane strain .....................................................................63
    Generalized Plane Stress ..................................................65
    Compatibility Equations Implied by Fundamental
    2D Systems ..................................................................68
    Solution of 2D problems Using Airy Stress Functions .....69
    Solution by Polynomials ..................................................71
    Plane Elasticity in Polar Coordinates ...............................74
    Axially Symmetric Problems ............................................78
    Stress Concentration Near a Circular Hole ......................80
    Index ...................................................................................................87
    Contents
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