Open Access

ARTICLE

A Conservative Time Integration Scheme for Dynamics of Elasto-damaged Thin Shells

L. Briseghella¹, C. Majorana¹, P. Pavan¹

1 Università degli Studi di Padova, Dipartimento di Costruzioni e Trasporti, Via Marzolo 9, I-35131 Padova, Italy

Computer Modeling in Engineering & Sciences 2003, 4(2), 273-286. https://doi.org/10.3970/cmes.2003.004.273

Abstract

Some aspects of the application of a conservative time integration scheme to the non-linear dynamics of elasto-damaged thin shells are presented. The main characteristic of the scheme is to be conservative, in the sense that it allows the time-discrete system to preserve the basic laws of continuum, namely the balance of the linear and angular momenta as well as the fulfilment of the second law of thermodynamic. Here the method is applied to thin shells under large displacements and rotations. The constitutive model adopted is built coupling the linear elastic model of De Saint Venant-Kirchhoff with a scalar damage function depending on the maximum value of a suitable strain measure attained through the deformation history.

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