Crack propagation in concrete dams using Extended Finite Element Method (XFEM) скачать в хорошем качестве

Crack propagation in concrete dams using Extended Finite Element Method (XFEM)

The extended finite element method (XFEM), also known as generalized finite element method (GFEM) or partition of unity method (PUM) is a numerical technique that extends the classical finite element method (FEM) approach by extending the solution space for solutions to differential equations with discontinuous functions. The extended finite element method was developed to ease difficulties in solving problems with localized features that are not efficiently resolved by mesh refinement. In other words, in the finite element method, "shape functions" are used to provide an approximation space so that the solution can be represented by a vector. In the classical FEM, these shape functions are polynomials. In the Extended Finite Element Method (XFEM), additional "enrichment" functions are used to approximate the solution in addition to the polynomial shape functions. These enrichment functions are chosen to have properties that the solution is known to follow. The most obvious XFEM enrichment functions are power functions introduced at cracks sharp corners to represent the singularities in the solution gradient (i.e., the singularity in the stress for solid mechanics problems). The XFEM can be used for other enrichment functions and other solution domains (notably heat transfer), but the name synonymous with fracture analysis. For more information, please visit: www.pasofal.com