1,721,083 research outputs found
Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries
Full text linkThis work focuses on the (HBIE) hypersingular boundary integral equation,also called traction equation, and on its use to evaluate the stress tensorin linear elasticity. When the field point is moved to the boundary, by meansof a limit process, free terms come into play. As a common belief, they aredue to the strongly singular kernel: indeed it is proved that the hypersingularkernel does not cause any free term when tractions are evaluated onsmooth boundaries with respect to the boundary surface normal (when theconcept of normal makes sense). The stress tensor along the boundary involvessurfaces with normal differing from the boundary normal, too. In thiscase, free terms are proved to be generated also by the hypersingular kernel,aside from the regularity of the boundary: their analysis is the main goal ofthe present work
Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries
No full textNumerical simulations of cohesive interface problems via boundary integral equations
No full textatti su C
Analytical integrations in 3D BEM for elliptic problems: evaluationand implementation
No full textThe present publication deals with 3D elliptic boundary value problems (potential, Stokes, elasticity) in
the framework of linear, isotropic, and homogeneous materials. Numerical approximation of the unique
solution is achieved by 3D boundary element methods (BEMs). Adopting polynomial test and shape
functions of arbitrary degree on flat triangular discretizations, the closed form of integrals that are involved
in the 3D BEMs is proposed and discussed. Analyses are performed for all operators (single layer, double
layer, hypersingular). The Lebesgue integrals are solved working in a local coordinate system. For singular
integrals, both a limit to the boundary as well as the finite part of Hadamard (Lectures on Cauchy’s
Problem in Linear Partial Differential Equations. Yale University Press: New Haven, CT, U.S.A., 1923)
approach have been considered
The critical size of micro and nano-structures against the mostdangerous defect
No full textThe critical size of micro and nano-structures, for instance nano-wires and nano-particles in Li-ions
battery electrodes, is often evaluated after the definition of the “most dangerous defect”. Intuition
suggests that it lies orthogonally to the major load axis. In the light of recently proposed investigations
on the crack kinking process in brittle materials, this paper will show that such an assumption
appears to be incorrect
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