NUMERICAL COMPUTATIONS OF ANTI-PLANE STRESS STATE OF THE PLATE WITH STRAIN LIMITING RESPONSE IN THE V-SHAPED DOMAIN IN FENICS PACKAGE

by · Sep 23, 2014 · 1 094 views ·

Vojtěch Kulvait, Charles University in Prague, Faculty of Mathematics and Physics, Prague, Czech Republic There is increasing evidence that there exists materials that behave nonlinearly (not according to Hooke’s law) even for small strains. Brittle elastic materials or gum metal alloys are examples of the materials exhibiting such behavior. The poster presented here is focused on the numerical results obtained in FeniCS package when solving models of materials with nonlinear response. The model possesses strain limiting behavior that means that strains are bounded even for high stresses. Antiplane stress problem with V-notch shaped domain in the framework of linearized strain tensor is described. Airy stress function formalism allows us to solve the problem as the second order elliptic PDE. The results show that we are obtaining stress concentration in the vicinity of the tip of the geometry while the strains remain bounded.

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