The Method of Fundamental Solution (also known as the F-Trefftz method or the singularity method) is an efficient numerical method for the solution of Laplace equation for both two- and three-dimensional problems.
On the basis of Burton and Miller's method, the singularity-free formulations of Helmholtz integral equation and its normal derivative are used to form a composite equation.
Using the boundary integral equations method, the singularities of near-crack front fields are analyzed, and the stress, fluid flux and heat flux intensity factors are derived in terms of the extended displacement discontinuities.
Just as in the continuous case, systems which are integrable through spectral method possess the singularity confinement property while the linearisable systems do not.
According to notch stress strength theory, a simple method with the singularity strength 'as' is used to estimate the stress field distribution at the corner.
Using analytical methods, the singularities caused by grazing impact are studied.
These singular integral equations are then solved by numerical method based on the singularity nature at the crack tips.
Furthermore, the asymptotic solutions are constructed by the Lighthill method, which eliminates the singularity of the similarity solution, for large injection and by the matching theorem for the suction Reynolds number, respectively.
Based on the analogy between bifurcation of equilibrium paths in structures and kinematic bifurcation of mechanisms, this paper proposes an analogous stiffness method to detect the singularity and kinematic bifurcation of mechanisms.
A method for dealing with the singularity in adhesive bonds, which can be used in engineering design and analysis, has been established in this investigation.
The intensity of singular stress can be used to evaluate the strength of the adhesive joint; however, it is difficult to measure strength directly by the finite element method (FEM) because of the singularity.
