Computer Simulation of Nonisothermal Elastoplastic Shell Responses

作者: W. B. Krätzig , U. Montag , J. Sorić , Z. Tonković

DOI: 10.1007/0-306-46954-5_11

关键词: Ricci calculusTangent modulusNonlinear systemKinematicsMathematicsAdiabatic processRobustness (computer science)Mathematical analysisDykstra's projection algorithmIntegration algorithm

摘要: Shell structures are extremly efficient, thin walled load-carrying components, in the elastic as well inelastic regime. Realistic and efficient computational strategies lately rapid development. Such strategy for modelling of nonisothermal, highly nonlinear hardening responses elastoplastic shell analysis has been proposed this article. Therein, closest point projection algorithm employing Reissner-Mindlin type kinematic model, completely formulated tensor notation, is applied. A consistent tangent modulus ensures high convergence rates global iteration approach. The integration implemented into a layered assumed strain isoparametric finite element, which capable geometrical nonlinearities including rotations. Under assumption an adiabatic process, increase temperature analysed during deformation. Finally, numerical examples illustrate robustness efficiency algorithms.

参考文章(15)
A. Libai, J.G. Simmonds, Nonlinear Elastic Shell Theory Advances in Applied Mechanics. ,vol. 23, pp. 271- 371 ,(1983) , 10.1016/S0065-2156(08)70245-X
B. H. V. Topping, Advances in computational methods for simulation Civil-Comp Press. ,(1996)
B. H. V. Topping, Advances in finite element procedures and techniques Civil-Comp. ,(1998)
A. Libai, James G. Simmonds, The Nonlinear Theory of Elastic Shells ,(1998)
Stefan Hartmann, Peter Haupt, Stress computation and consistent tangent operator using non-linear kinematic hardening models International Journal for Numerical Methods in Engineering. ,vol. 36, pp. 3801- 3814 ,(1993) , 10.1002/NME.1620362204
I.G. Vardoulakis, Constitutive laws for engineering materials: theory and application International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. ,vol. 24, pp. 319- ,(1987) , 10.1016/0148-9062(87)90869-2
U. Montag, W.B. Krätzig, J. Soric, Increasing solution stability for finite-element modeling of elasto-plastic shell response Advances in Engineering Software. ,vol. 30, pp. 607- 619 ,(1999) , 10.1016/S0965-9978(98)00104-5
Y. Basar, U. Montag, Y. Ding, On an isoparametric finite-element for composite laminates with finite rotations Computational Mechanics. ,vol. 12, pp. 329- 348 ,(1993) , 10.1007/BF00364242
O. S. Hopperstad, S. Remseth, A return mapping algorithm for a class of cyclic plasticity models International Journal for Numerical Methods in Engineering. ,vol. 38, pp. 549- 564 ,(1995) , 10.1002/NME.1620380404
Jurica Sorić, Ulrich Montag, WB Krätzig, An efficient formulation of integration algorithms for elastoplastic shell analysis based on layered finite element approach Computer Methods in Applied Mechanics and Engineering. ,vol. 148, pp. 315- 328 ,(1997) , 10.1016/S0045-7825(96)01241-8