Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Bushmanova O.   Bushmanov S.   Ustyuzhanova A.  

Numerical Modeling of Shear Cracs near the Holes

Reporter: Bushmanova O.

We present the numerical analysis of mode of deformation for elastic-plastic material with shear cracks near the holes. We simulate the process of shear localization on systems of cuts in a plane domain. The number of shear cracks, their shape, and positions in the domain are given taking into the consideration the experimental or theoretical studies. Within the framework of successive loading method, we set the problem of finding the fields of displacement increments and stress increments at each loading step in the given domain. The algorithm of numerical solution of the posed problem is constructed on the basis of the finite element method. An important feature of the involved problem-oriented finite element grids is that all their nodes are double nodes. This allows us to locate the cuts along different families of grid lines. The developed computational algorithm can be applied to research the interference of shear cracks and holes in the loaded material at the stage of failure.

Abstracts file: bush_tez.doc
Full text file: bush_abs.pdf

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