LARGE STRAIN INELASTIC ANALYSIS IN NATURAL FORMULATION .1. QUASISTATIC PROBLEMS

被引：52

作者：

ARGYRIS, JH

DOLTSINIS, JS

机构：

[1] Institut für Statik und Dynamik der Luft- und Raumfahrtkonstruktionen, University of Stuttgart

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 20卷 / 02期

关键词：

D O I：

10.1016/0045-7825(79)90020-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper first establishes for the large strain domain the transformation of the homogeneous, natural presentation of the strain and stress states to the standard formulation and vice versa. Possible definitions of natural strains appertaining to deformations composed of elastic and inelastic parts are discussed. Furthermore, the natural stress-strain relations are given based on total elastic and incremental plastic deformations. The results apply immediately to the description of simple finite elements which may serve, moreover, as subelements for the derivation of higher order finite elements. A solution algorithm is developed unifying the Newton technique with respect to the geometric nonlinearity and the normal iteration technique with respect to the material nonlinear behaviour. A number of numerical examples is presented such as the necking of a simple tension specimen, the extrusion of an aluminium billet and the heading of a steel bolt. © 1979.

引用

页码：213 / 251

页数：39

共 19 条

[1] Argyris, Kleiber, Incremental formulation in nonlinear mechanics and large strain elasto-plasticity-natural approach, Comp. Meths. Appl. Mech. Eng., 11, pp. 215-247, (1977)
[2] Argyris, Doltsinis, Kleiber, Incremental formulation in nonlinear mechanics and large strain elasto-plasticity-natural approach, Comp. Meths. Appl. Mech. Eng., 14, pp. 259-294, (1978)
[3] Argyris, Balmer, Doltsinis, Dunne, Haase, Kleiber, Malejannakis, Mlejnek, Muller, Scharpf, Finite element method-the natural approach Fenomech '78, Computer Methods in Applied Mechanics and Engineering, 17, 18, pp. 1-106, (1979)
[4] Argyris, Doltsinis, On large strain inelastic analysis in natural formulation, Computer Methods in Applied Mechanics and Engineering, 21, (1980)
[5] Truesdell, Noll, Non-linear field theories of mechanics, Encyclopedia of Physics, 3, (1965)
[6] Prager, Einführung in die Kontinuumsmechanik, (1960)
[7] Prager, An elementary discussion of definitions of stress rate, Quart. Appl. Math. XVIII, 4, pp. 403-407, (1961)
[8] Lee, Elastic-plastic deformation at finite strain, Journal of Applied Mechanics, 36, pp. 1-6, (1961)
[9] Hill, Some basic principles in the mechanics of solids without a natural time, J. Mech. Phys. Solids, 7, (1959)
[10] McMeeking, Rice, Finite element formulations for problems of large elastic-plastic deformation, Int. J. Sol. Struct., 11, pp. 601-616, (1975)

← 1 2 →