On the strong discontinuity approach in finite deformation settings
PublisherJohn Wiley & sons
Rights accessOpen Access
Taking the strong discontinuity approach as a framework for modelling displacement discontinuities and strain localization phenomena, this work extends previous results in infinitesimal strain settings to finite deformation scenarios. By means of the strong discontinuity analysis, and taking isotropic damage models as target continuum (stress–strain) constitutive equation, projected discrete (tractions–displacement jumps) constitutive models are derived, together with the strong discontinuity conditions that restrict the stress states at the discontinuous regime. A variable bandwidth model, to automatically induce those strong discontinuity conditions, and a discontinuous bifurcation procedure, to determine the initiation and propagation of the discontinuity, are briefly sketched. The large strain counterpart of a non-symmetric finite element with embedded discontinuities, frequently considered in the strong discontinuity approach for infinitesimal strains, is then presented. Finally, some numerical experiments display the theoretical issues, and emphasize the role of the large strain kinematics in the obtained results.
This is the peer reviewed version of the following article: [Oliver, J., Huespe, A.E., Pulido, M.D.G. and Samaniego, E. (2003), On the strong discontinuity approach in finite deformation settings. Int. J. Numer. Meth. Engng., 56: 1051-1082. doi:10.1002/nme.607], which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.607. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."
CitationOliver, J. [et al.]. On the strong discontinuity approach in finite deformation settings. "International journal for numerical methods in engineering", Febrer 2003, vol. 56, núm. 7, p. 1051-1082.