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An accurate and efficient boundary element procedure is developed for the analysis of dynamic response of rigid surface footings.
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The Boundary Finite Element Method (BFEM), a novel semi-analytical boundary element procedure solely relying on standard finite element formulations, is employed for the investigation of the orders and modes of three-dimensional stress singularities which occur at notches and cracks in isotropic halfspaces as well as at free edges and free corners of layered plates.
The methodology is convenient because it can be considered a sort of generalised beam theory and presents a reduced computational burden with respect to finite element or boundary element procedures, with fast solution of many bridge launching static schemes.
The effectiveness of the boundary element method is clearly dependent on the implementation of efficient and accurate integration procedures to evaluate boundary integrals of the singular kernels.
A coupled finite element and boundary element scheme is applied in both two and three dimensions.
The validity and efficiency of the present boundary element method is demonstrated by comparing the results with those obtained using the boundary element method employing linear elements.
The previous boundary element formulation is implemented into computer code using quadratic boundary elements.
A Boundary Element Method is used for the forward model.
The procedure to couple the roughness noise sources to the tailored Green's function is detailed for the case where the boundary element method mesh is orthogonal and aligned with the boundary layer outer velocity.
A procedure based on the 2.5-dimensional (2.5D) boundary element method (BEM) is then presented to promote the efficiency of acoustical computation compared with the 3D BEM.
This boundary element is composed of two functional fragments a constitutive boundary element and a boundary regulator fragment the latter of which gives tissue specificity to the constitutive boundary element.
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