ON DISLOCATIONS, PLASTICITY AND MICROMORPHIC MECHANICS.
PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES
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Within the framework of micromorphic mechanics a continuum theory of dislocations is formulated for solids undergoing elastic deformations. The micromotion gradients and spin degrees of freedom of the micromorphic theory together with the concept of the Burgers circuit provide the kinematic variables, strain measures and dislocation tensors fundamental to the theory. The balances of momentum, first stress moments and energy are basic to the present theory. Together with a set of constitutive equations for the stress and stress moments, the field equations are complete. Thermodynamical restrictions and the uniqueness of static and dynamic solutions are discussed. The plane wave solution of the linear theory is discussed in detail. The dispersive branch obtained in the velocity dispersion is similar to the experimental findings of others and should provide reasonable support for the theory. The micropolar initial stress-couple stress problem containing distributions of dislocations and disclinations is formulated. Relations between the present work and existing theories are discussed. Author
- Solid State Physics