Unified Yield Surface for the Nonlinear Analysis of Brittle Anisotropic Materials

A simple heuristic algorithm is presently proposed which determines the set of closed surfaces of the cubic tensor polynomial. Its analytical formulation is based on the requirement of a positive Gaussian curvature for closed continuous surfaces with no singular points. The identification of such closed surfaces is an important aspect in both mathematics and engineering (structural analysis at the ultimate limit state), such as the nonlinear analysis of anisotropic brittle materials. Finally the proposed algorithm is successfully applied for the case of masonry, which is a strongly brittle and anisotropic material.

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