Introduction to Mechanics of Continua

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Courier Corporation, 1961 - 230 pages
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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.
 

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Contents

Geometrical Foundations
3
Tensor
11
The ttensor
19
Tensor fields
26
Curvilinear coordinates
34
State of Stress
43
Mohrs representation of states of stress Plane state of stress
50
Hydrostatics
56
Viscoplastic and Perfectly Plastic Materials
136
Plane plastic flow
144
Hypoelastic Materials Classical Theory of Elasticity
154
Hypoelastic materials in the neighborhood of stressfree state
160
Torsion of cylindrical bars
166
Extremum principles
172
Elastic waves
178
Finite Strain
188

Instantaneous Motion
62
Conditions of jntegrabjljty
70
Fundamental Laws
81
Simple constitutive equations
87
Viscous Fluids
114
boundary layer equations
124
Other strain tensors
196
Elastic and Hyperelastic Materials
204
Uniqueness and stability
215
Index
223
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