Finite element analysis of elastic-plastic plate bending based upon Tresca yield criterion | |
| Author | Kanchit Malaivongs |
| Call Number | AIT Diss. no.D34 |
| Subject(s) | Finite element method Plates (Engineering) Strains and stresses |
| Note | A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Engineering. |
| Publisher | Asian Institute of Technology |
| Abstract | A finite element technique is presented for the analysis of elastic-plastic bending of plates based upon Tresca yield criterion. The plate is idealized as a sandwich plate and as an assemblage of triangular elements which are connected at their nodal points. The triangular plate bending element, developed by shieh Lee Iand Parmalee, which is divided into three sub elements is used. The plate material is assumed to be elastic-perfectly plastic and the yielding is governed by Tresca yield criterion. The plate deflections are assumed to be small and the transverse shear deformations are neglected. The moment-curvature relations for the idealized plate are derived for the sides and corners of Tresca yield condition in terms of the direction of the principal moment stress resultants in matrix form following the work of Anand. Lee and Rossow on plane stress problem. The equilibrium, equations. are solved for the and alI point displacements from which the moment stress resultants are readily obtained. In the elastic range, the element moment stress resultants are then checked and scaled linearly to determine the initial yield load. The boundary conditions in the plastic range are derived with particular reference to the implication of the plastic potential flow law. In this range, the load is applied in small increments and then stiffness of the plate is modified bu introducing the plastic element stiffness to every yielded element. During each load increment the structure is assumed to behave linearly and an interpolation technique is used to keep the moment stress resultants on the plastic surface. In case that an additional element becomes plastic during a load increment, a_mLagrangian interpolation is used to scale down the load increment and the corresponding moment stress resultants. The incremental load is then added to the total load to yield the current total value. This process is continued until the application of a small load increment causes very large deflections. Several illustrative examples are given and the computed collapse loads and the yield patterns are compared with those obtained by the yield line theory as well as other models which follow Mises yield condition. |
| Year | 1977 |
| Type | Dissertation |
| School | AIT Publication (Year <=1978) |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Dissertation (D) (Year <=1978) |
| Chairperson(s) | Tongohat Hongladaromp;Lee, Seng Lip |
| Examination Committee(s) | Karasudhi, Pisidhi;Pama, Ricardo P.;Cheung, Y.K.;Arbhabhirama, Anat |
| Degree | Thesis (Ph.D.) - Asian Institute of Technology, 1977 |