Sentence examples for singularity depend on from inspiring English sources
The angle of the wedge and the order of the stress singularity depend on the hardening of the strain energy function.
However, when the combined mechanical electric loadings are applied at infinity, the electric fields inside the cracks may be singular and oscillatory, and such is the case for the stresses near the crack tips, but the intensities of all singularities depend on the material properties and the applied mechanical loads, not on the applied electric loads.
The energies between the Van Hove singularities depend on the nanotube structure.
First, it is shown that the singularity order depend on the V-notch angle.
The asymptotic stress fields near the edge root can be described by mixed-mode singularities, which depend on the dihedral angle and material properties, and a transverse T-stress, which depends on how residual stress is realized in the interconnects.
Finally, and on the basis of the experience gained during the research, an initial proposal is laid out for the heritage assessment of these assets, considering aspects such as historic, technological and documental singularity which will depend on the degree of transformation and definition of the section in question.
The behaviour of Vandermonde matrices is different when the density of ω has singularities and depends on the density growth rates near the singularities points.
For monoclinic bimaterial, the orders of singularities are found to depend on the material constant Λ and the frictional coefficient f and are either of order δ or 1−δ depending on the direction of the frictional force.
Here we remark that a solution to a singular problem may not lie in the space C [ 0, 1 ], but it should depend on the singularity in some sense.
The study concludes that electroelastic singularities and intensity factors directly depend on the first few terms of non-zero-eigensolutions. Numerical examples for various conditions are given to show variations of singularity orders and intensity factors.
