-
Article
Similarities in the low-energy configurations of dislocations and vortices
It is shown that vortices and dislocations can be treated as virtually identical from both a physical and mathematical perspective. This allows the lowest-energy configurations of such defects to be predicted....
-
Article
Burgers vector conservation laws
A set of rules has been developed that allows for an exact description of various types of dislocation configurations in solids. These rules are in the form of conservation laws that exist between six uniquely...
-
Article
A surface dislocation model of wear
A model of sliding wear, based upon the concept of surface dislocations, has been proposed. In particular, a dislocation cell structure is created in the plastically deformed surface layer, which in turn gives...
-
Article
A new approach to the theory of grain boundaries
It is shown that the classical picture of a grain boundary in terms of a single array of lattice dislocations is incomplete. In addition, it is also necessary to incorporate into the boundary a second array of...
-
Article
The relationship between concepts in Materials Science and Sosmology
A number of concepts common to both the fields of Materials Science and Astrophysics have been elucidated. In particular, the curvature and unboundedness of the universe is associated with the idea of surface ...
-
Article
Discrete dislocation analysis of pre-existing cracks
The discrete dislocation method is employed to determine the dislocation configurations associated with a continuous plastic crack subjected to both loading and unloading. The concept of anticrack dislocations...
-
Article
Further refinements in the energy of grain boundaries
Earlier surface dislocation analysis of a grain boundary recognized the tendency of the grain-boundary surfaces to coalesce in order to reduce surface energy. The coalescence process is described by a distribu...
-
Article
Relationship between disclinations and coordinate systems
The geometry of wedge disclinations and several related configurations has been analyzed in both cylindrical as well as Cartesian coordinates. It is shown that both representations yield a well-defined disloca...
-
Article
Surface dislocation model of a dislocation in a two-phase medium
The surface dislocation method developed earlier for solving the free surface boundary problem is now extended to the two-phase interface boundary problem wherein a lattice dislocation is situated in one of th...
-
Article
Surface dislocation model of a dislocation in a two-phase medium
The surface dislocation method developed earlier for solving the free surface boundary problem is now extended to the two-phase interface boundary problem wherein a lattice dislocation is situated in one of th...
-
Article
Burgers circuits associated with generalized distortions
The methods of differential geometry have been utilized to show that any deformed body can be described in terms of either classical elasticity theory or else in terms of dislocation theory. This duality is ex...
-
Article
The differential geometry of surfaces
A differential geometric analysis has been made with respect to free surfaces in both underformed and deformed crystals. It has been shown that such well-defined tensor quantities as distortion, torsion, anhol...
-
Article
Relationship between surface tension and energy, interfacial energy and lattice friction
Any surface, in order to decrease its surface energy, contracts. It is shown for the first time that this contraction is formally equivalent to the introduction of a continuous distribution of surface dislocat...
-
Article
Behaviour of an edge dislocation in a semi-infinite solid with surface energy effects
The method of continuously distributed dislocations and the method of discrete distribution of dislocations have been used to determine the effect of surface energy on the surface boundary conditions of a semi...
-
Article
Discrete dislocation analysis of a plastic shear crack
A detailed discrete dislocation analysis has been carried out in order to understand the behavior of a shear crack. It is found that a shear crack can be classified broadly into four categories based on its el...
-
Article
Differential geometry associated with the expansion process
The concepts of differential geometry have been applied to the expansion process. Specifically, it has been shown that such expansions can occur either elastically, plastically or by tearing. All of the refere...
-
Article
The relationship between dislocations and surfaces
Various types of distortion have been analyzed utilizing the techniques of differential geometry. Whereas the torsion tensor is shown to be related to the presence of dislocations within a continuum, the anhol...
-
Article
Differential geometry of the coincidence site lattice
The tensor properties of simple internal surfaces, such as two-phase interfaces and grain boundaries, have been studied in detail. In particular, these tensor quantities have been defined with respect to the o...
-
Article
The differential geometry of bending
La deformazione associata con la flessione uniforme viene trattata usando le tecniche della geometria differenziale. Il circuito di Burgers e altre quantità tensoriali e la densità di dislocazione, vengono det...
-
Article
The differential geometry of fracture
The methods of differential geometry have been applied to the process of cracking. In particular, it is shown that a crack may be viewed as an imperfectly torn elastically distorted space. Such a space in turn...
