engleski

Mapped infinite elements in non-linear stress analysis with special respect to gravity loading

In the large spectrum of practical engineering problems from different classes of field problema, there is always a question how to treat unbounded continua. This paper considers the use of mapped infinite elements in conjuction with finite elements in non-linear stress analysis extending previous research on the use of mapped infinite elements in transient thermal analysis and in the linear elastic stress analysis. Material non-linear behaviour is described by Perzyna's elasto-visco-plastic model. Special attention is given to gravity loading, and its common action with other loadings. Generally the gravity loading can be treated in two different ways: (a) by evaluating equivalent nodal forces on element due to element body forces or gravity stresses in Gauss points ; (b) by incorporating gravity stresses from Gauss points directly in total stress vector as initial stresses. The applicability of the suggested techniques is examined and the benefits of employing proposed finite/infinite element approach is then illustrated by the solution of few unbounded geomechanical problems.

unbounded domain; mapped infinite elements; gravity loading; stress analysis

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