Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"Hypersingular"”.
-
The Solution of Hypersingular Integral Equations With Applications in Acoustics and Fracture Mechanics
<p>The numerical solution of two classes of hypersingular integral equations is addressed. Both classes are integral equations of the first kind, and are hypersingular due to a kernel containing a Hadamard singularity. The convergence of a Galerkin method and a collocation method is discussed and …
-
Development and applications of hypersingular boundary integral equations for three-dimensional acoustics and elastodynamics
… methods for many problems in engineering. The hypersingular BIE's, which are derivatives of conventional BIE's, are indispensable for the analyses of many problems in mechanics by BIE/BEM, such as wave scattering, crack problems, plate bending, thin body and thin inclusion problems, for which …
-
Modeling and detection of delaminations in laminated plates
… in the TBEM is the evaluation of integrals with hypersingular kernels; we propose a novel approach to evaluate analytically these integrals for the plane-strain cases (antiplane and in-plane). Finally, to test the TBEM and the analytical integrals, we study the 2-D scattering of plane waves by a …
-
Boundary integral equation based numerical solutions of helmholtz transmission problems for composite scatters
… that are expressed in terms of Helmholtz hypersingular operators (e.g., the normal derivative of the double layer operator) are used in this dissertation. The incorporation of these in a DDM framework is subtle, and an effective method is proposed to blend these transmission operators in …
-
The dual boundary element method applied to semi-infinite surface cracks in two-dimensions
The goal of his thesis is to evaluate the stress intensity factors (SIF) for surface cracks in semi-infinite solids via the DBEM. We first detail the derivations of the boundary element and dual boundary element methods. The main difficulty with these methods are integrations of the singular …