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SUMMARY:Vladislav Mantič (University of Sevilla)
DTSTART:20251006T134000Z
DTEND:20251006T151000Z
DTSTAMP:20260405T175149Z
UID:NSCM/182
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/182/">A
 symptotic Solutions at the Tip of Interface Cracks and Multi-Material Corn
 ers with Frictional Contact in Linear Elastic Anisotropic Solids</a>\nby V
 ladislav Mantič (University of Sevilla) as part of Nečas Seminar on Cont
 inuum Mechanics\n\nLecture held in Room K3\,  Faculty of Mathematics and P
 hysics\, Charles University\, Sokolovská 83  Prague 8..\n\nAbstract\nThis
  study focuses on point singularities in the solutions of linear elastic B
 VPs for anisotropic solids in 2.5D (generalised plane strain). The stresse
 s in these BVPs can be unbounded at singular points\, also known as corner
 s\, where discontinuities exist in the solid geometry\, material propertie
 s or boundary/interface conditions. The behaviour of elastic solutions at 
 singular points is described by asymptotic expansions expressed as series 
 of products of power-logarithmic terms in the radial coordinate and charac
 teristic angular functions. The exponents of these terms are known as sing
 ularity exponents\, while the coefficients of the series are referred to a
 s generalised stress intensity factors (GSIFs).\n\nThis work aims to devel
 op:\n\n1) a specific semi-analytic procedure to determine the terms of the
 se asymptotic series at the tip of interface cracks with frictional slidin
 g contact between the crack faces\; and\n\n2) a general semi-analytic proc
 edure to determine the terms of these asymptotic series at the tip of mult
 i-material corners with frictional sliding contact at the outer faces and/
 or interfaces between the wedges\, considering the Coulomb friction law.\n
 \nThese procedures are novel in that they lead to nonlinear eigenproblems 
 for both the singularity exponents and the angles of frictional shear stre
 sses in frictional contact zones. Both procedures are based on the Stroh f
 ormalism in complex variable for linear anisotropic elasticity.\n\nThe app
 lication of these procedures is demonstrated by some interesting examples.
  Finally\, SingSol\, an online app that implements the general semi-analyt
 ic procedure for singularity analysis of multimaterial corners\, is briefl
 y presented.\n
LOCATION:https://researchseminars.org/talk/NSCM/182/
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