In this study, the nonlinear analysis of two dimensional plane stress/strain and three dimensional thin shell structures is undertaken. Matrix update methods such as the Quasi-Newton (B.F.G.S.) and the Secant Newton were implemented and their performance assessed in a comparison with Newton Raphson type algorithms. Nonlinear problems involved include material and geometric nonlinearities. In the case of geometric nonlinearities both problems of small strains and large strains with hyperelastic materials are considered. In the case of material nonlinearities elastoplastic and viscoplastic theories were considered. A Total Lagrangian formulation is used for geometric nonlinear analysis. Finally, a comparison is made between the Quasi-Newton method and the direct iteration method in the solution of field problems governed by the quasi-harmonic equation.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:638643 |
| Date | January 1982 |
| Creators | Reis Gomes, C. M. B. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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