• Transactions of the Korean Society of Automotive Engineers
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• v.15 no.2
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• pp.101-108
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• 2007

This paper presents an efficient meshless method for analyzing cracked piezoelectric structures subjected to mechanical and electrical loading. The method employs an element free Galerkin (EFG) formulation and an enriched basic function as well as special shape functions that contain discontinuous derivatives. Based on the moving least squares (MLS) interpolation approach, The EFG method is one of the promising methods for dealing with problems involving progressive crack growth. Since the method is meshless and no element connectivity data are needed, the burdensome remeshing procedure required in the conventional finite element method (FEM) is avoided. The numerical results show that the proposed method yields an accurate near-tip stress field in an infinite piezoelectric plate containing an interior hole. Another example is to study a ceramic multilayer actuator. The proposed model was found to be accurate in the simulation of stress and electric field concentrations due to the abrupt end of an internal electrode.

• Proceedings of the Korea Water Resources Association Conference
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• 2016.05a
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• pp.470-474
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• 2016

Madsen et al. (2002)이 제안한 일차원 고차 Boussinesq 방정식에 대하여 불연속갤러킨 유한요소법(Discontinuous Galerkin Finite Element Method)을 적용하였다. 연속적인 Boussinesq 방정식에서 각 요소경계에 불연속을 허용할 수 있도록 공간차분하고, 시간방향으로 4차 Runge-Kutta 시간적분법, 각 요소사이에는 Lax-Friedrichs 수치흐름률을 사용하였다. 계산영역의 양쪽에 불필요한 파랑의 반사를 억제하도록 흡수층을 설치하였으며, 영역 내부에서 조파할 수 있도록 하였다. Luth et al.(1994)의 수중잠제 실험에 적용하여 관측값과 잘 일치함을 확인하였다.

• Composites Research
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• v.26 no.6
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• pp.363-372
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• 2013

Numerical simulation for Resin Transfer Molding manufacturing process is attempted by using the eXtended Finite Element Method (XFEM) combined with the level set method. XFEM allows to obtaining a good numerical precision of the pressure near the resin flow front, where its gradient is discontinuous. The enriched shape functions of XFEM are derived by using the level set values so as to correctly describe the interpolation with the resin flow front. In addition, the level set method is used to transport the resin flow front at each time step during the mold filling. The level set values are calculated by an implicit characteristic Galerkin FEM. The multi-frontal solver of IPSAP is adopted to solve the system. This work is validated by comparing the obtained results with analytic solutions. Moreover, a localization method of XFEM and level set method is proposed to increase the computing efficiency. The computation domain is reduced to the small region near the resin flow front. Therefore, the total computing time is strongly reduced by it. The efficiency test is made with a simple channel flow model. Several application examples are analyzed to demonstrate ability of this method.