%0 Journal Article %1 Leblond2000 %A Leblond, Jean-Baptiste %A Roy, Gilles %D 2000 %J Comptes Rendus de l'Academie des Sciences - Series IIB - Mechanics %K behavior, cavites comportement des ductile ductile, dynamic dynamiques, effects, effets expansion expansion, material, materiau spherical spheriques, vides viscoplastic viscoplastique, void voids, %N 5 %P 381--386 %T A model for dynamic ductile behavior applicable for arbitrary triaxialities %U http://www.sciencedirect.com/science/article/B6W82-42KCT9T-3/2/b2752f1c778675628c6c34a3583eca8e %V 328 %X Previous models for ductile behavior incorporating dynamic effects were derived assuming the triaxiality to be very high. Such is indeed the case in experiments of impact of plates, but not in those of expansion of rings or shells. Here we propose a model for dynamic ductile behavior applicable for arbitrary triaxialities. The material is schematized as a porous, viscoplastic Norton medium. The essential approximation made consists in accounting for this acceleration arising from growth of the voids, but not for that arising from their change of shape. Within the framework of this approximation, the special case of a hollow cylinder loaded axisymmetrically in generalized plane strain is treated exactly. This special, analytic solution is used as a guide to propose a model for the practically more significant case of spherical cavities. This model is finally extended in a heuristic way to incorporate elasticity effects.

@article{Leblond2000, abstract = {Previous models for ductile behavior incorporating dynamic effects were derived assuming the triaxiality to be very high. Such is indeed the case in experiments of impact of plates, but not in those of expansion of rings or shells. Here we propose a model for dynamic ductile behavior applicable for arbitrary triaxialities. The material is schematized as a porous, viscoplastic Norton medium. The essential approximation made consists in accounting for this acceleration arising from growth of the voids, but not for that arising from their change of shape. Within the framework of this approximation, the special case of a hollow cylinder loaded axisymmetrically in generalized plane strain is treated exactly. This special, analytic solution is used as a guide to propose a model for the practically more significant case of spherical cavities. This model is finally extended in a heuristic way to incorporate elasticity effects.}, added-at = {2009-08-01T18:40:48.000+0200}, author = {Leblond, Jean-Baptiste and Roy, Gilles}, biburl = {https://www.bibsonomy.org/bibtex/24897c061d61d77e3b7f5f583af6eebe8/jaksonmv}, file = {:D\:\\Users\\Jaksonmv\\Documents\\papers\\Leblond2000.pdf:PDF}, interhash = {f4ba355d71a2f8dd42970dfc27383096}, intrahash = {4897c061d61d77e3b7f5f583af6eebe8}, journal = {Comptes Rendus de l'Academie des Sciences - Series IIB - Mechanics}, keywords = {behavior, cavites comportement des ductile ductile, dynamic dynamiques, effects, effets expansion expansion, material, materiau spherical spheriques, vides viscoplastic viscoplastique, void voids,}, month = May, number = 5, owner = {ManfrediniV}, pages = {381--386}, timestamp = {2009-08-01T18:40:52.000+0200}, title = {A model for dynamic ductile behavior applicable for arbitrary triaxialities}, url = {http://www.sciencedirect.com/science/article/B6W82-42KCT9T-3/2/b2752f1c778675628c6c34a3583eca8e}, volume = 328, year = 2000 }