Korea University · Engineering
Professor Goangseup Zi's research lab specializes in computational mechanics and fracture mechanics, focusing on advanced numerical methods for modeling crack propagation and failure in engineering materials. The lab develops meshfree and extended finite element methods (XFEM) that enable accurate simulation of arbitrary crack paths, crack coalescence, and junctions without remeshing, even in complex, heterogeneous, or quasibrittle materials. Key research directions include the development of robust enrichment functions for crack tips and discontinuities, level set-based crack description, and stable algorithms for competitive crack growth under plane strain or plane stress conditions. The lab applies its methods to both static and dynamic problems in linear elastic and inhomogeneous media.
Figures are computed from collected data and may differ slightly.
Abstract An extended finite element method scheme for a static cohesive crack is developed with a new formulation for elements containing crack tips. This method can treat arbitrary cracks independent of the mesh and crack growth without remeshing. All cracked elements are enriched by the sign function so that no blending of the local partition of unity is required. This method is able to treat the entire crack with only one type of enrichment function, including the elements containing the crac
Abstract A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arbitrary with respect to the mesh and are described by vector level sets. The overall response of the structure is obtained until comp
Abstract We have developed a new crack tip element for the phantom‐node method. In this method, a crack tip can be placed inside an element. Therefore, cracks can propagate almost independent of the finite element mesh. We developed two different formulations for the three‐node triangular element and four‐node quadrilateral element, respectively. Although this method is well suited for the one‐point quadrature scheme, it can be used with other general quadrature schemes. We provide some numerica
A numerical model to analyse the growth and the coalescence of cracks in a quasibrittle cell containing multiple cracks is presented. The method is based on the extended finite element method in which discontinuous enrichment functions are added to the finite element approximation to take into account the presence of the cracks, so that it requires no remeshing. In order to describe the discontinuities only the tip enrichment and the step enrichment are used. The method does not require a specia
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