Engineering Transactions, 46, 2, pp. 165–187, 1998
10.24423/engtrans.650.1998

### On Cylindrical Elastic-Plastic Shells with Moderately Large Rotations

A. Sławianowska
Polish Academy of Sciences
Poland

An application of a moderate rotations theory (MRT) to cylindrical elastic-plastic shells is presented. Geometrical and kinematical relations for cylindrical shells with arbitrary cross-section are derived. Following the general procedure formulated in [4] we derive also equilibrium equations for cylindrical shells. Some special cases of loading and cross-section shapes of shells are discussed in more details. Orthotropic elastic-plastic constitutive relations are assumed and expressed in terms of a cylindrical reference frame. In a forthcoming paper we are going to apply these results as a basis for numerical solving of geometrically nonlinear problems for cylindrical shells.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

#### References

A.C. ERINGEN, Nonlinear theory of continuous media, Me Graw-Hill Book Company Inc., New York 1962.

M. DUSZEK, Foundations of the non-linear plastic shell theory, Mitt. Inst. Mechanik, Ruhr-Universität, Bochum, 31, 1982.

K.W. NEAL, A general variational theorem for the rate problem in elasto-plasticity, Int. J. Solids Structures, 8, 1972.

R. SCHMIDT, D. WEICHERT, A refined theory of elastic-plastic shells at moderate rotations, ZAMM, 69, 1, 1989.

J.C. SIMO et al., On a stress resultant geometrically exact shell model, Parts I-IV, Comp. Meth. Appl. Mech. Engng., 72, 73, 1989, 79, 81, 1990.

A. SŁAWIANOWSKA, A comparison of two theories of geometrically nonlinear shells, J. Theor. Appl. Mech., 34, 4, 1996.

K. WASHIZU, Variational methods in elasticity and plasticity, Pergamon Press, 1975.

K. HACKL, A framework for nonlinear shells based on generalized stress and strain measures, Int. J. Solids Struct., 34, 1997.

DOI: 10.24423/engtrans.650.1998