![]() The crack strain field equations are integrated numerically. Except for the crack strain field equations, all terms of the stiffness matrix and load vector are integrated symbolically in Maple V so that fully integrated plane stress and plane strain elements are constructed. The resulting load vector is that of a standard plane element with an additional term that includes the externally applied strain field. ![]() The resulting stiffness matrix is that of a standard plane element. The additional strain field in an element adjacent to this crack is treated as an externally applied strain field in the Hu-Washizu energy principle. The distribution of small cracks is incorporated into the numerical model by including a small crack at each element interface. The foundation for this numerical model is a plane element formulated from the Hu-Washizu energy principle. A method for modeling the discrete fracture of two-dimensional linear elastic structures with a distribution of small cracks subject to dynamic conditions has been developed.
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