Introduction to Mechanics of ContinuaCourier Corporation, 2004 M01 1 - 230 páginas A classic in the field, this book meets the demands of courses that establish groundwork in hydrodynamics, gas dynamics, plasticity and elasticity, and it provides typical continua problems for nonspecialists. The author addresses the major aspects of continuum studies: geometrical foundations, state of stress, instantaneous motion, fundamental laws, perfect fluids, viscous fluids, visco-plastic and perfectly plastic materials, hypoelastic materials, finite strain, and elastic and hyperelastic materials. The text’s broad converge and numerous applications include more than 160 problems and examples, and the only prerequisites are first- and second-year college calculus. 1961 ed. |
Contenido
Scalar and vector | 3 |
Tensor | 4 |
Generalization | 5 |
The etensor | 19 |
Principal axes of a symmetric tensor of the second order | 24 |
Tensor fields | 26 |
Integral theorems | 33 |
Curvilinear coordinates | 35 |
Energy theorem | 94 |
Equation of motion and vortex theorems | 95 |
Simple constitutive equations Problems | 110 |
Viscous Fluids | 114 |
boundary layer equations | 124 |
Viscoplastic and Perfectly Plastic Materials | 136 |
Plane plastic flow | 144 |
Hypoelastic Materials Classical Theory of Elasticity | 154 |
Problems | 38 |
State of Stress | 43 |
Stress tensor 2 Conditions of equilibrium 3 Principal stresses and principal shearing stresses | 47 |
Mohrs representation of states of stress Plane state of stress | 50 |
Cauchys stress quadrics | 55 |
Hydrostatics | 57 |
14 17 | 58 |
Chapter III | 62 |
Rate of rotation and rate of deformation | 65 |
Plane instantaneous motion | 70 |
Conditions of integrability | 71 |
Material rates of change Problems 344555 47 50 56 59 62 67 70 | 73 |
Fundamental Laws 1 Conservation of mass | 81 |
Momentum theorem 3 Moment of momentum theorem | 85 |
Hypoelastic materials in the neighborhood of stressfree state | 160 |
Torsion of cylindrical bars | 166 |
Extremum principles | 172 |
81 | 176 |
Elastic waves | 178 |
Finite Strain | 188 |
83 | 191 |
Other strain tensors | 196 |
Chapter X Elastic and Hyperelastic Materials | 204 |
Uniqueness and stability | 215 |
| 223 | |
| 226 | |
| 227 | |
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Términos y frases comunes
According angle basic invariants boundary conditions boundary layer Chapter coefficients considered constant constitutive equation continuum coordinate system corresponding cross section cylinder defined denoted density derivative differential equation dimensionless discussion elastic energy equation of motion equilibrium exterior normal Figure follows furnishes grad gradient hypoelastic material infinitesimal initial instantaneous linear material line elements material rate Newtonian fluid normal obtained perfect fluid positive pressure principal axes principal direction principal values rate of change rate of deformation relation represents respect rotation satisfy scalar shear line shearing stress shows simple shear specific body force strain tensor stream function stream lines stress components stress field stress rate stress tensor surface element surface traction symmetric tensor T₁ theorem tion u₁ Unabridged republication unit vector v₁ vanishes variables vector gradient velocity components velocity field velocity potential visco-plastic material vortex lines vorticity written x-axis x₁ zero