On the strong discontinuity approach in finite deformation settings
| Autor: | M. D. G. Pulido, Esteban Samaniego, Alfredo Edmundo Huespe, Javier Oliver |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Finite strains
Engineering Civil Infinitesimal Constitutive equation Engineering Multidisciplinary Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] Kinematics INGENIERÍAS Y TECNOLOGÍAS Classification of discontinuities Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Discontinuity (geotechnical engineering) Continuum mechanics--Mathematical models Engineering Ocean Engineering Aerospace Engineering Biomedical Mathematics Ingeniería Mecánica Numerical Analysis Continuum (measurement) business.industry Applied Mathematics Strong discontinuities Mathematical analysis Isotropy General Engineering Mecànica dels medis continus -- Mètodes numèrics Structural engineering Computer Science Software Engineering fracture damage Finite element method Engineering Marine Engineering Manufacturing Engineering Mechanical Fracture Damage Localization Engineering Industrial business |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Scipedia Open Access Scipedia SL |
| Popis: | 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." 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 work has been done with support of the Spanish Ministry of Science and Technology under Grants MAT-2001-3863-C03-03. This support is gratefully acknowledged. The second author also acknowledges the nancial support of the Secretaria de Estado de Educacion, Universidades, Investigaci on y Desarrollo of Spain. |
| Databáze: | OpenAIRE |
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