Development of a geometrically nonlinear shell element by assumed strain methods | |
| Author | Ma, Haitao |
| Call Number | AIT Diss. no.ST-90-01 |
| Subject(s) | Finite element method Elastic plates and shells Strains and stresses |
| Note | A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Dissertation ; no. ST-90-01 |
| Abstract | In this study, a nine-node finite element for geometrically nonlinear analyses of shell structures is developed by using assumed strain methods. Reviewing the recent literature on the finite element formulation, it is found that, in spite of the superficial maturity of finite element methods, there are still certain important issues to be resolved and new shell elements are desired. Various finite element formulations leading to element stiffness equations are classified and their characteristics briefly discussed, revealing fundamental mechanisms of different methods for improving finite element performances. A new concept of desirable displacement field (DDF) is introduced for the investigation of finite element formulations, using which strain sampling points for the proposed shell element are located. A systematic procedure for the determination of optimal strain sampling points is presented. A new scheme for finite rotations of shell normals is proposed to remove the restriction on the size of load increments in geometrically nonlinear analysis and the new shell element is formulated. Numerical results of a large number of linear and nonlinear problems are presented showing the excellent performance of the new element. |
| Year | 1990 |
| Corresponding Series Added Entry | Asian Institute of Technology. Dissertation ; no. ST-90-01 |
| Type | Dissertation |
| School | School of Engineering and Technology |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Worsak Kanok-Nukulchai; |
| Examination Committee(s) | Karasudhi, Pisidhi ;Suphat Vongvisessomjai ;Horii, Hideyuki ;Pichai Nimityongskul ; |
| Scholarship Donor(s) | The Government of Australia ; |
| Degree | Thesis (Ph.D.) - Asian Institute of Technology, 1990 |