Non-linear analysis of elasto-plastic shells by finite element method | |
| Author | Doi, Ryoji |
| Call Number | AIT Thesis no.ST-86-05 |
| Subject(s) | Finite element method Elastic plates and shells |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Thesis ; no. ST-86-05 |
| Abstract | A large deformation analysis of general elasto- plastic shells is presented. Shel ls are treated as special cases of continuum, i.e., thick shell assumptions are used to degenerate a bilinear quadrilateral shell element from solid element. The displacement field in the shell element is described by an absolute displacement of its mid-surface and a relative displacement of its top surface, such that difficulties of finite rotations are avoided. To maintain transverse isotropy in shells , plastic effects of the transverse shear strains are neglected. In order to overcome the difficulty in application to thin shells, the single point reduced Gauss quadrature is used to evaluate transverse shear effects in both the tangent stiffness matrix and the internal force vector. During plastic deformations, the flow rule is kept by an incremental procedure at each Gauss integration point. The overshooting stress caused by the linearization is effectively brought back to the yield surface with the appropriate number of subdivisions of the increment and limited within an allowable tolerance. The final discretized equations are solved by a Newton- Raphson scheme. Several numerical examples are solved to verify the validity of t h e assumptions and to demonstrate the accuracy and versatility of the proposed method. |
| Year | 1986 |
| Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. ST-86-05 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| 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) | Nishino, Fumio ;Wireland, Martin |
| Scholarship Donor(s) | KEIDANREN, Japan ; |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1986 |