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SUMMARY:Vladislav Mantič (University of Sevilla)
DTSTART:20240930T134000Z
DTEND:20240930T151000Z
DTSTAMP:20260405T174635Z
UID:NSCM/147
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/147/">S
 tress singularities in BVPs with Robin and Ventcel boundary conditions. Ap
 plications in FEM modeling</a>\nby Vladislav Mantič (University of Sevill
 a) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Roo
 m K3\,  Faculty of Mathematics and Physics\, Charles University\, Sokolovs
 ká 83  Prague 8..\n\nAbstract\nLinear-elastic antiplane-strain problems g
 overned by the 2D Laplace equation are considered in domains with corners 
 and cracks. First\, power-logarithmic stress singularities in Neumann-Robi
 n BVPs in infinite corner (polar sector) type domains are studied. Asympto
 tic solutions given by a double asymptotic series with the main and the as
 sociated shadow terms are presented. An application of such an asymptotic 
 series to the numerical solution of the BVP of a crack in a thin adhesive 
 interface layer modeled by the spring interface is shown by implementing a
  finite element method (FEM) procedure. Second\, similar asymptotic analys
 is of power-logarithmic stress singularities in Dirichlet-Robin BVPs in in
 finite corners with a power-law variation (with the distance to the corner
  apex) of the governing coefficient in the Robin boundary condition is pre
 sented. An application of such an asymptotic solution to the BVPs of bridg
 ed cracks with a power-law variation of the stiffness of linear-elastic sp
 ring distribution is presented. Finally\, a power-logarithmic stress singu
 larity in a Dirichlet-Ventcel BVP in half domain is studied by a similar a
 symptotic procedure. An application of this asymptotic solution to the FEM
  solution of a BVP with a finite and open Gurtin-Murdoch material surface 
 is presented.\n
LOCATION:https://researchseminars.org/talk/NSCM/147/
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