Korea Advanced Institute of Science and Technology · Engineering
Professor Sung-Kie Youn's research lab specializes in advanced computational mechanics and meshfree methods, with a strong focus on isogeometric analysis, T-spline finite element methods, and least-squares meshfree formulations. The lab develops robust numerical schemes for contact mechanics, shell structures, and elasto-plastic problems, emphasizing geometric exactness, integration efficiency, and adaptive refinement. Key research directions include isogeometric contact analysis using mortar methods, T-spline-based shell formulations, and first-order least-squares methods for solving complex solid mechanics problems with high accuracy and stability.
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SUMMARY In the present work, an isogeometric contact analysis scheme using mortar method is proposed. Because the isogeometric analysis is employed for contact analysis, the geometric exactness of the contact region is maintained without any loss of geometric data because of geometry approximation. Thus, the proposed method can overcome underlying shortcomings that result from the geometric approximation of contact surfaces in the conventional finite element (FE)‐based contact analysis. For an i
Abstract A T‐spline surface is a nonuniform rational B‐spline (NURBS) surface with T‐junctions, and is defined by a control grid called T‐mesh. The T‐mesh is similar to a NURBS control mesh except that in a T‐mesh, a row or column of control points is allowed to terminate in the inner parametric space. This property of T‐splines makes local refinement possible. In the present study, shell formulation based on the T‐spline finite element method (FEM) is presented. Shell formulation based on NURBS
Abstract A new efficient meshfree method is presented in which the first‐order least‐squares method is employed instead of the Galerkin's method. In the meshfree methods based on the Galerkin formulation, the source of many difficulties is in the numerical integration. The current method, in this respect, has different characteristics and is expected to remove some of the integration‐related problems. It is demonstrated through numerical examples that the present formulation is highly robust to
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