The research shows that the stress singularity is different with that in plane problems. On the symmetric interface end, the singularity index increases from 0 to 0.5 with the interface end angular θ from 90° to 180°.
We study how the singularity (in the sense of Hausdorff dimension) of a vector valued measure can be affected by certain restrictions imposed on its Fourier transform.
When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision.
We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.
The proof uses some new results due to Koras and Russell on contractible surfaces with at most quotient singularities and also several results about reductive group actions on affine varieties.
We study how the singularity (in the sense of Hausdorff dimension) of a vector valued measure can be affected by certain restrictions imposed on its Fourier transform.
When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision.
The results show that the new procedure can both improve the prediction of statistics of the flow and effectively relieve the singularity of subgrid-scale (SGS) model coefficient.
The singularity of the proposed model lies in making explicit discrimination between the detected and overlooked patients and taking into account their migration.
In the present study, following [3], to improve the convergence of the series for the pressures use is made of the method of separation of the singularity, which allows the solution to be used also for large eccentricities.
Although there are many kinds of finite element method for determining the stress intensity factors, the problem is still very complex because of the existence of the singularity at the crack tip. In this paper the superposition of the ordinary finite element method on the singularity terms is applied to the determination of the stress intensity factors. Thus the problem is greatly simplified and the accuracy of the result is improved. For instance, the errors in the stress intensity factor of a single-ed...
This paper discusses an extension of the D-M model which is used for strain hardening materials. A model of cohesive zone at the crack tip is assumed as linear σ=A+Bx. Like Dagdale, its objective is to remove the singularity at the crack tip.In this paper, the formulas of plastic range and critical crack opening displacement are obtained. It can be considered as a new fracture criterion in COD.The paper may be of interest to research workers and engineers working in the field of fracture mechanics.
In this report, the basic principle and methods of laser beam reflective holographic and speckle interferometry for studying the three-dimensional displacement fields are presented. Using these methods the three-dimensional displacement fields around a crack tip for centrally cracked strip are measured. The strips are made of aluminum alloy LY12-CZ, and are subjected to uniaxial tension and large-scale yield conditions. In this report, the following results are described: (1)the change of the size and cont...