Material aspects of dynamic neck retardation

@article{citeulike:2945647, abstract = {Neck retardation in stretching of ductile materials is promoted by strain hardening, strain-rate hardening and inertia. Retardation is usually beneficial because necking is often the precursor to ductile failure. The interaction of material behavior and inertia in necking retardation is complicated, in part, because necking is highly nonlinear but also because the mathematical character of the response changes in a fundamental way from rate-independent necking to rate-dependent necking, whether due to material constitutive behavior or to inertia. For rate-dependent behavior, neck development requires the introduction of an imperfection, and the rate of neck growth in the early stages is closely tied to the imperfection amplitude. When inertia is important, multiple necks form. In contrast, for rate-independent materials deformed quasi-statically, single necks are preferred and they can emerge in an imperfection-free specimen as a bifurcation at a critical strain. In this paper, the interaction of material properties and inertia in determining neck retardation is unraveled using a variety of analysis methods for thin sheets and plates undergoing plane strain extension. Dimensionless parameters are identified, as are the regimes in which they play an important role.}, author = {Xue, Z. and Vaziri, A. and Hutchinson, J. W. }, booktitle = {Bridging scales in mechanics - "Where are the bottom and the top?" The Needleman-Tvergaard Solid Mechanics Symposium}, citeulike-article-id = {2945647}, doi = {10.1016/j.jmps.2007.04.003}, journal = {Journal of the Mechanics and Physics of Solids}, keywords = {2008, ductility, hutchinson, jmps, localization, mechanics, modeling, necking, polymer-substrate, simulation, stretchability, thin-metal-film}, month = {January}, number = {1}, pages = {93--113}, posted-at = {2008-06-30 19:45:22}, priority = {2}, title = {Material aspects of dynamic neck retardation}, url = {http://dx.doi.org/10.1016/j.jmps.2007.04.003}, volume = {56}, year = {2008} }

TY - JOUR ID - citeulike:2945647 L3 - citeulike-article-id:2945647 TI - Material aspects of dynamic neck retardation T2 - Bridging scales in mechanics - "Where are the bottom and the top?" The Needleman-Tvergaard Solid Mechanics Symposium JF - Journal of the Mechanics and Physics of Solids VL - 56 IS - 1 SP - 93 EP - 113 N2 - Neck retardation in stretching of ductile materials is promoted by strain hardening, strain-rate hardening and inertia. Retardation is usually beneficial because necking is often the precursor to ductile failure. The interaction of material behavior and inertia in necking retardation is complicated, in part, because necking is highly nonlinear but also because the mathematical character of the response changes in a fundamental way from rate-independent necking to rate-dependent necking, whether due to material constitutive behavior or to inertia. For rate-dependent behavior, neck development requires the introduction of an imperfection, and the rate of neck growth in the early stages is closely tied to the imperfection amplitude. When inertia is important, multiple necks form. In contrast, for rate-independent materials deformed quasi-statically, single necks are preferred and they can emerge in an imperfection-free specimen as a bifurcation at a critical strain. In this paper, the interaction of material properties and inertia in determining neck retardation is unraveled using a variety of analysis methods for thin sheets and plates undergoing plane strain extension. Dimensionless parameters are identified, as are the regimes in which they play an important role. KW - 2008 KW - ductility KW - hutchinson KW - jmps KW - localization KW - mechanics KW - modeling KW - necking KW - polymer-substrate KW - simulation KW - stretchability KW - thin-metal-film AU - Xue, Z AU - Vaziri, A AU - Hutchinson, JW PY - 2008/01// UR - http://dx.doi.org/10.1016/j.jmps.2007.04.003 ER -