Reduced integration technique in general analysis of plates and shells

International Journal for Numerical Methods in Engineering - Tập 3 Số 2 - Trang 275-290 - 1971
O.C. Zienkiewicz1, Robert L. Taylor2, J. M. Too1
1University of Wales, Swansea
2University of California, Berkeley, California

Tóm tắt

AbstractThe solution of plate and shell problems by an independent specification of slopes and middle surface displacements is attractive due to its simplicity and ability of reproducing shear deformation. Unfortunately elements of this type are much too stiff when thickness is reduced.In an earlier paper a derivation of such an element was presented1 which proved very successful in ‘thick’ situations. Here a very simple extension is made which allows the element to be economically used in all situations.The improved flexibility is achieved simply by reducing the order of numerical integration applied to certain terms without sacrificing convergence properties. The process is of very wide applicability in improvement of element properties.

Từ khóa


Tài liệu tham khảo

10.1002/nme.1620020310

Zienkiewicz O. C., 1967, The Finite Element Method in Structural and Continuum Mechanics

R. J.Melosh ‘A flat triangular shell element stiffness matrix’ Proc. Conf. Matrix Meth. Struct. Mech. Air Force Institute of Technology Wright–Patterson Air Force Base Ohio 1965.

10.2514/3.4265

Martin H. C., 1968, Stiffness Matrix for Triangular Sandwich Element in Bending

Key S. W., 1965, Proc. Conf. Matrix Meth. Struct. Mech.

Ahmad S., 1965, Proc. Conf. Matrix Meth. Struct. Mech.

Wempner G. A., 1968, Finite element analysis of thin shells, Proc. Am. Soc. civ. Engng, 6, 1273

10.1016/0020-7683(69)90025-0

10.2514/3.5068

Key S. W., 1970, Symposium on high speed computing for elastic structures

Irons B. M., 1970, Finite Element Techniques in Structural Mechanics, 328

Doherty W. P., 1969, Stress Analysis of Axisymmetric Solids Utilizing Higher Order Quadrilateral Finite Elements

Timoshenko S., 1956, Strength of Materials, Part II, Advanced Theory and Problems, 100

10.1090/qam/20440

Scordelis A. C., 1964, Computer analysis of cylindrical shells, ACI Jnl, 61, 539

10.1016/0020-7683(68)90032-2

10.1016/0020-7683(70)90052-1

Forsberg K., 1970, Symposium on high speed computing for elastic structures

Bazeley G. B., 1965, Proc. Conf. Matrix Meth. Struct. Mech.

G. E.StricklandandW. A.Loden ‘A doubly‐curved triangular shell element’ Proc. Conf. Matrix Meth. Struct. Mech. Wright–Patterson Air Force Base Ohio 1968.

10.1007/BF02081557

Thông tin
Thông tin xuất bản

International Journal for Numerical Methods in Engineering

Tập 3 Số 2

275-290

Thông tin tác giả