Kriging based finite element method for material descontinuities and multiscale simulation | |
| Author | Wichain Sommanawat |
| Call Number | AIT Diss. no.ST-10-01 |
| Subject(s) | Finite element method Kriging |
| Note | A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Structural Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Dissertation ; no. ST-10-01 |
| Abstract | The dissertation presents recent developments of the Kriging-based Finite Element Method (K-FEM). The Kriging interpolation (KI) is adopted in conjunction with the multi-layered nodal domain of influence (ML-NDOI) to construct shape function. To assess the performance of the K-FEM, three problem categories are carried out in this study. Those problems consist of material discontinuity, three-dimensional solid and concurrent multiscale simulation problems. In material discontinuity problems, the ML-NDOI is modified by cutting off the nodal domain of influence at the interface. Thus, the K-FEM is allowed to perform separately within each homogeneous domain. The numerical examples in one- and two-dimensional problems are tested and validated. Apparently, the proposed method exhibits a straightforward approach to improve the quality of results and simply to implement. The K-FEM is successfully applied in 3D elastostatic problems. In comparison with the standard FEM, more accurate and smoother results are obtained in the K-FEM. As the practical example, the principle pagoda of Bowon Nivet Vihara temple, i.e. one of the most important temples in Thailand, is analyzed for the restoration information. A good agreement can be observed between the sensitive areas obtained by the present method and the appearance of cracks on the exterior surface of the pagoda. A seamless concurrent multiscale simulation based on K-FEM is also effectively developed in this work for coupling the continuum model with its molecular dynamic. The results reveal that at the continuum/MD interface, the commonly reported spurious waves in the literature are effectively eliminated in this study. In addition, the smoothness of the transition from MD to the continuum can be significantly improved by either increasing the size of the coupling zone or expanding the nodal domain of influence associated with K-FEM. From the numerical results, two obvious advantages of the K-FEM are observed. First, the field variables and their derivatives can be achieved with remarkable accuracy and global smoothness while the boundary condition can be treated conveniently as in the standard FEM. Second, the remeshing procedure is totally unnecessary in order to improve the quality of the solution. |
| Year | 2010 |
| Corresponding Series Added Entry | Asian Institute of Technology. Dissertation ; no. ST-10-01 |
| Type | Dissertation |
| School | School of Engineering and Technology |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Worsak Kanok-Nukulchai; |
| Examination Committee(s) | Anwar, Naveed;Park, Kyung-Ho; |
| Scholarship Donor(s) | Austria (ADA);Ubon Ratchathani Rajabhat University, Thailand; |
| Degree | Thesis (Ph.D.) - Asian Institute of Technology, 2010 |