A three-node triangular plate bending element based on mindlin/reissner plate theory and mixed interpolation
- 285 Downloads
A new three-node triangular plate bending element, MT3, is presented for linear elastic analysis. MT3 is obtained by separate interpolation of transverse displacements and section rotations, and also of the transverse shear strains. The key to the MITC family element is a proper assumption of strain fields, and in this paper the torsional shear mode present in a standard displacement-based element by one-point reduced integration is exactly incorporated to form the stiffness matrix with two other constant shear modes. The procedure renders the element free of any locking phenomena. Low-order MITC family elements are also compared to the proposed element. A detailed formulation of the plate elemenet is given, and several example solutions are presented that demonstrate the superior predictive capabilities of the element.
Key WordsMindlin Plate Shear Locking Mixed Formulation
Unable to display preview. Download preview PDF.
- Lee, P.-G. and Sin, H.-C., 1994, “Mindlin Plate Finite Elements by a Modified Transverse Displacement,”KSME International Journal. Vol. 8, No. 1, pp. 19–27.Google Scholar
- Bathe, K. J. and Brezzi, F., 1985, “On the Convergence of a Four-Node Plate Bending Element Based on Mindlin-Reissner Plate Theory and a Mixed Interpolation,”Conference on Mathematics of Finite elements and Applications V (Edited by Whiteman, J. R.), Academic Press, New York, pp. 491–503.Google Scholar
- Bathe, K. J. and Brezzi, F., 1987, “A Simplified Analysis of Two Plate Bending Elements the MITC4 and MITC9 Elements,”Proc. NUMETA Conf., University College of Swansea, Wales.Google Scholar
- Brezzi, F. and Bathe, K. J., 1986, “Studies of Finite Element Procedures the Inf-Sup Condition, Equivalent Forms and Applications,”Conference on Reliability of Methods for Engineering Analysis (Edited by Bathe, K. J. and Owen, D. R. J.), Pineridge Press, SwanseaGoogle Scholar
- Green, A. E. and Zerna, W., 1968,Theoretical Elasticity, 2nd edn, Oxford University PressGoogle Scholar
- Timoshenko, S. P. and Woinowsky-Krieger, S., 1959,Theory of Plates and Shells, 2nd Edn. McGraw-Hill.Google Scholar