Physically and Geometrically Nonlinear Analysis of Structures Using One- and Two-Dimensional Finite Elements
The paper deals with the application of the finite element method for large elasto-plastic deformation analysis. The fundamental system of equations in Eulerian description has been obtained from the very general variational theorem. The geometric stiffness matrices have been derived for geometric nonlinear, one- and two-dimensional problems. The computer program, which have been based on the ASKA program package, has also been discussed. The paper is illustrated by the numerical examples.
References
C.A. FELIPPA, Refined finite analysis of linear and nonlinear two-dimensional structure, SESM 66-22, University of Calif., Oct. 1966.
P. V. MARCAL, Large deflection analysis of elastic-plastic shells of revolution, AISSI ASME 10th Conference, New Orleans, April 1969.
S. YAGHMAI, Incremental analysis of large deformation in mechanics of solids with application to axisymmetric shells of revolution, SESM 68-17, University of Calif., Dec. 1968.
H. D. HABBIT, P. V. MARCAL, J. R. RICE, A finite element formulation for problems of large strain and large displacement, Int. J. Sol. Struct., 6, 1970.
J. A. STRICKLIN, W. E. HAISLER, W.A. VON RIESEMANN, Computation and solution procedures for nonlinear analysis by combined finite element - finite difference methods, Comp. Struct., 2, 1972.
H. LEVINE, H. ARMEN, Jr., R. WINTER, Theoretical and experimental investigation of the large deflection, clastic-plastic behaviour of orthotropic shells of revolution under cyclic loading, Nat. Symp. G. Washington Univ., Washington D. C., March 1972.
M. KLEIBER, Lagrangian and Eulerian finite element foruulation for large strain elasto-plasticity, Bull. Acad. Polon. Sci., Série Sci. Techn., 23, 3, 1975.
J. H. ARGYRIS, D. W. SCHARF, Large deflection analysis of prestressed networks, J. Struct. Div., 98, 3, 1972.
R. W. CLOUGH, The finite element method in structural mechanics, Stress Analysis, J. Wiley and Sons Ltd., London-New York-Sydney 1965.