Page 10 - Introduction to Continuum Mechanics

Contents ix

5.25 Constitutive Equations for an Orthotropic Elastic Solid 301
5.26 Constitutive Equation for a Transversely Isotropic Elastic Material 303
5.27 Constitutive Equation for Isotropic Elastic Solid 306
5.28 Engineering Constants for Isotropic Elastic Solid. 307
5.29 Engineering Constants for Transversely Isotropic Elastic Solid 308
5.30 Engineering Constants for Orthotropic Elastic Solid 311
5.31 Engineering Constants for a Monoclinic Elastic Solid. 312

Part C Constitutive Equation For Isotropic Elastic Solid Under Large Deformation 314
5.32 Change of Frame 314
5.33 Constitutive Equation for an Elastic Medium under Large Deformation. 319
5.34 Constitutive Equation for an Isotropic Elastic Medium 322
5.35 Simple Extension of an Incompressible Isotropic Elastic Solid 324
5.36 Simple Shear of an Incompressible Isotropic Elastic Rectangular Block 325
5.37 Bending of a Incompressible Rectangular Bar. 327
5.38 Torsion and Tension of an Incompressible Solid Cylinder 331
Problems 335

Chapter 6 Newtonian Viscous Fluid 348
6.1 Fluids 348
6.2 Compressible and Incompressible Fluids 349
6.3 Equations of Hydrostatics 350
6.4 Newtonian Fluid 355
6.5 Interpretation of l and m 357
6.6 Incompressible Newtonian Fluid 359
6.7 Navier-Stokes Equation for Incompressible Fluids 360
6.8 Navier-Stokes Equations for In compressible Fluids in
Cylindrical and Spherical Coordinates 364
6.9 Boundary Conditions 365
6.10 Streamline, Pathline, Streakline, Steady, Unsteady, Laminar and
Turbulent Flow 366
6.11 Plane Couette Flow 371
6.12 Plane Poiseuille Flow 372
6.13 Hagen Poiseuille Flow 374
6.14 Plane Couette Flow of Two Layers of Incompressible Fluids 377
6.15 Couette Flow 380
6.16 Flow Near an Oscillating Plate 381