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M. Zhang¹, G. Vadillo² and F.J. Montans¹

¹Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain
²Department of Continuum Mechanics and Structural Analysis, Universidad Carlos III de Madrid, Leganes, Spain

M. Zhang, G. Vadillo, F.J. Montans, "Large Strain Void-Growth Multiplicative Plasticity Preserving the Infinitesimal Framework", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 10.3, 2025,

Keywords: large strains, void growth, GTN plasticity, logarithmic strains, damage mechanics, computational plasticity.

Abstract

The Gurson-Tvergaard-Needleman (GTN) model is used for porous materials with a plastically isochoric matrix and a volume growth due to the plastic flow in the matrix. The model is used extensively for cast and 3D printed metals, and can be used for metal foams and metamaterials. However most simulations are performed with small strain frameworks or using either hypoelastic formulations teamed with objective stress rates, or Green-based elastoplastic decompositions of total strains. These approaches present known inconsistencies. We present herein a new formulation based on the concept of continuum elastic corrector rates. The derived algorithm retains the additive updates typical of the infinitesimal formulation, but it is consistent with the multiplicative decomposition and a general hyperelastic stored energy.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.3 Large Strain Void-Growth Multiplicative Plasticity Preserving the Infinitesimal Framework M. Zhang¹, G. Vadillo² and F.J. Montans¹ ¹Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain ²Department of Continuum Mechanics and Structural Analysis, Universidad Carlos III de Madrid, Leganes, Spain Full Bibliographic Reference for this paper M. Zhang, G. Vadillo, F.J. Montans, "Large Strain Void-Growth Multiplicative Plasticity Preserving the Infinitesimal Framework", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 10.3, 2025, Keywords: large strains, void growth, GTN plasticity, logarithmic strains, damage mechanics, computational plasticity. Abstract The Gurson-Tvergaard-Needleman (GTN) model is used for porous materials with a plastically isochoric matrix and a volume growth due to the plastic flow in the matrix. The model is used extensively for cast and 3D printed metals, and can be used for metal foams and metamaterials. However most simulations are performed with small strain frameworks or using either hypoelastic formulations teamed with objective stress rates, or Green-based elastoplastic decompositions of total strains. These approaches present known inconsistencies. We present herein a new formulation based on the concept of continuum elastic corrector rates. The derived algorithm retains the additive updates typical of the infinitesimal formulation, but it is consistent with the multiplicative decomposition and a general hyperelastic stored energy. download the full-text of this paper (PDF, 10 pages, 1234 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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