On elimination of shear locking in the element-free Galerkin method | |
| Author | Korn Saranyasoontorn |
| Call Number | AIT Thesis no.ST-99-37 |
| Subject(s) | Finite element method Structural analysis (Engineering) |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering. |
| Publisher | Asian Institute of Technology |
| Abstract | An improved version of the Element-free Galerkin method (EFGM) is presented for addressing the problems of shear locking in Timoshenko beams and Mindlin plates at the small thickness limit. In this study, the presence of shear locking can be completely eliminated if the rotation fields are constructed to match the fields of slope, given by the first derivative of the displacement. By this criterion, the second derivative of the shape functions must be evaluated thus requiring at least a C1 continuity of shape functions for displacement field, and therefore a C1 weight function. The quartic spline weight function with C continuity is eventually selected resulting in continuous field of stresses. Numerical results show that the modified version of the EFGM does not exhibit shear locking, produces fast convergence, and provides a high degree of accuracy even with coarse domain discretizations. The only disadvantage of the proposed method compared with the conventional EFGM is the increase in computational time as it requires the second derivative of shape functions. |
| Year | 1999 |
| Type | Thesis |
| 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-Nukuchai |
| Examination Committee(s) | Bouillard, Philippe;Barry, William;Pennung Warnitchai;Wijeyewickrema C., Anil; |
| Scholarship Donor(s) | Asian Institute of Technology Partial Scholarship; |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1999 |