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Pseudo lagrangian formulation for viscoplastic shells | |
Author | Tee, Beng Hock |
Call Number | AIT Thesis no.ST-87-37 |
Subject(s) | Elastic plates and shells |
Note | A thesis study submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
Publisher | Asian Institute of Technology |
Abstract | A pseudo lagrangian formulation is introduced for large deformation analysis of elasto- viscoelastic shells. The treatment of the nonlinear shell employed a degeneration concept, which treats the shell element as a continuum and shell assumptions are applied after the discretization is made. Deformation measurements expressed in the pseudo domain are well defined at the beginning and the governing equations of the shell element are automatically derived. For the material nonlinearity, a rate law in conjunction with the isotropic Von Mises yield criterion are used in computing the viscoelastic strain increments. To avoid the difficulties in treating the finite rotations of s hell problems , the shell element is described by an absolute displacement of its mid-surface and a relative displacement of its top-surface. The implicit time algorithm is used here for the discretization in the time domain. The resulting discretize nonlinear equations are solved by employing the Newton-Raphson scheme. Various integration scheme are used to obtain the bending effects of the shell element, for the transverse shear term one point Gauss quadrature is used . Several illustrative examples are given to verify the validity of the assumptions and the accuracy of the present formulation method. |
Year | 1987 |
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) | Karasudhi, Pisidhi ;Worsak Kanok- Nukulchai |
Examination Committee(s) | Hasegawa Akio |
Scholarship Donor(s) | The Japanese Government |
Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1987 |