The deviations of the on-line measurements from a reference profile are processed by a multi-scale wavelet in order to determine the singularities of the transients and to reduce the dimensionality of the data.
Profiles of pressure, velocity gradient, and local mass transfer rate on the surface of a sphere in a close packed cubic array are interpreted in terms of visual studies which determine the singularities of the limiting streamlines.
The madman invites an undergraduate computer geek up to the house for a week to interact with Ava in a Turing-test, in which a human being determines (the Singularity test) whether the female robot is effectively human-grade intelligence and emotion, i.e. Singularity Girl.
In the present study, a conservative integral based on the Betti reciprocal principle is formulated to determine the intensity of singularity at a vertex of the interface in three-dimensional dissimilar material joints with one real singularity.
An asymptotic approach is subsequently used to determine the order of singularity, and hence spatial distribution of the local stress state.
The results of the present study indicate that the conservative integral can be used to determine the intensity of singularity in three-dimensional bi-material joints.
A one-dimensional finite element method-based eigenanalysis is first applied to determine the order of singularity and the angular dependence of the stress and displacement field, which reflects elastic behavior around an inclusion corner.
A specific term in the χ-Fourier coefficient is shown to determine the structure of the singularities of the M-series.
This paper presents a general solution for determining the stress singularity orders of an anisotropic wedge for various boundary conditions.
The characteristic equations for determining the stress singularity order at the corner vertex and the corresponding corner functions are explicitly given for different combinations of boundary conditions along the radial edges forming the sharp corner.
