Mechanics of Generalized Continua: Proceedings of the IUTAM-Symposium on The Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart (Germany) 1967

Front Matter....Pages I-XII
Generalized Mechanics of Continuous Media....Pages 1-17
Mechanics of Micromorphic Continua....Pages 18-35
The Cosserat Surface....Pages 36-48
A General Theory of Rods....Pages 49-56
The Basic Affine Connection in a Cosserat Continuum....Pages 57-62
On the Thermodynamic Potential of Cosserat Continua....Pages 63-68
Applications of Theories of Generalized Cosserat Continua to the Dynamics of Composite Materials....Pages 69-79
Determination of Elastic Constants of a Structured Material....Pages 80-82
A Note on Günther’s Analysis of Couple Stress....Pages 83-86
Note on the Statics and Stability of Polar Hyperelastic Materials....Pages 87-89
The Characteristic Length of a Polar Fluid....Pages 90-94
Couple-Stresses and Singular Stress Concentrations in Elastic Solids....Pages 95-108
On the Effect of Stress Concentration in Cosserat Continua....Pages 109-113
Stress Functions and Loading Singularities for the Infinitely Extended, Linear Elastic-Isotropic Cosserat Continuum....Pages 114-119
On the Action of Concentrated Loads in the Case of a Cosserat Continuum....Pages 120-125
Dislocated and Oriented Media....Pages 126-140
The Generalized Dual Continuum in Elasticity and Dislocation Theory....Pages 141-151
Dislocations in the Generalized Elastic Cosserat Continuum....Pages 152-155
Some Considerations on the Mechanics of Granular Materials....Pages 156-159
A comment on the communication by Dr, M. Satake On the Influence of Couple-Stresses on the Distribution of Velocities in the Flow of Polar Fluids....Pages 160-162
On Plastic Strain....Pages 163-165
Physical Foundations of Dislocation Theory....Pages 166-179
Geometry and Continuum Mechanics....Pages 180-199
On the Two Main Currents of the Geometrical Theory of Imperfect Continua....Pages 200-213
A Dynamic Theory of Continual Dislocations....Pages 214-238
Inhomogeneities in Materially Uniform Simple Bodies....Pages 239-246
On the Geometric Structure of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations....Pages 247-250
Differential Geometry of a Nonlinear Continuum Theory of Dislocations....Pages 251-261
Statistical Theory of Dislocations....Pages 262-264
Some Remarks about High Velocity Dislocations....Pages 265-268
Continuum Theory of Dislocations and Plasticity....Pages 269-278
Continuous Distributions of Dislocations in Hyperelastic Materials of Grade 2....Pages 279-282
On the Dual Yielding and Related Problems....Pages 283-285
The Plane Boundary in Anisotropic Elasticity....Pages 286-289
Line Sources of Internal Stresses with zero Burgers Vector....Pages 290-293
On the Screw Dislocation in Finite Elasticity....Pages 294-297
Some Considerations of the Relation between Solid State Physics and Generalized Continuum Mechanics....Pages 298-311
Theories of Elastic Continua and Crystal Lattice Theories....Pages 312-320
The Theory of Elastic Media with Microstructure and the Theory of Dislocations....Pages 321-329
Interrelations between Various Branches of Continuum Mechanics....Pages 330-340
Properties of Dislocations in Iron—The Importance of the Discrete Nature of the Crystal Lattice....Pages 341-343
A Modernization of MacCullagh’s Ether Theory....Pages 344-346
Space-Time as Generalized Cosserat Continuum....Pages 347-349
The Cosserat Continuum with Electronic Spin....Pages 350-354
Disclinations and the Cosserat-Continuum with Incompatible Rotations....Pages 355-358