Crushing and densification of rapid prototyping polylactide foam: Meso-structural effect and a statistical constitutive model

Alsalla, 2016, Fracture toughness and tensile strength of 316L stainless steel cellular lattice structures manufactured using the selective laser melting technique, Mater. Sci. Eng., 699, 1, 10.1016/j.msea.2016.05.075 Andreassen, 2014, Design of manufacturable 3D extremal elastic microstructure, Mech. Mater., 69, 1, 10.1016/j.mechmat.2013.09.018 Avalle, 2007, Mechanical models of cellular solids: parameters identification from experimental tests, Int. J. Impact Eng., 34, 3, 10.1016/j.ijimpeng.2006.06.012 Bai, 2005, Statistical mesomechanics of solid, linking coupled multiple space and time scales, Appl. Mech. Rev., 58, 372, 10.1115/1.2048654 Banhart, 1998, Deformation characteristics of metal foams, J. Mater. Sci., 33, 1431, 10.1023/A:1004383222228 Barnes, 2014, Dynamic crushing of aluminum foams: part I–experiments, Int. J. Solids Struct., 51, 1631, 10.1016/j.ijsolstr.2013.11.019 Bastawros, 2000, Experimental analysis of deformation mechanisms in a closed-cell aluminum alloy foam, J. Mech. Phys. Solids, 48, 301, 10.1016/S0022-5096(99)00035-6 Blazy, 2004, Deformation and fracture of aluminium foams under proportional and non-proportional multi-axial loading: statistical analysis and size effect, Int. J. Mech. Sci., 46, 217, 10.1016/j.ijmecsci.2004.03.005 Calladine, 1984, Strain-rate and inertia effects in the collapse of two types of energy-absorbing structure, Int. J. Mech. Sci., 26, 689, 10.1016/0020-7403(84)90021-3 Chantarapanich, 2014, Fabrication of three-dimensional honeycomb structure for aeronautical applications using selective laser melting: a preliminary investigation, Rapid Prototyping J., 20, 551, 10.1108/RPJ-08-2011-0086 Corre, 2011, Batch foaming of chain extended PLA with supercritical CO2: influence of the rheological properties and the process parameters on the cellular structure, J. Supercrit. Fluids, 58, 177, 10.1016/j.supflu.2011.03.006 Degischer, 2002 Deshpande, 2001, Foam topology: bending versus stretching dominated architectures, Acta Mater., 49, 1035, 10.1016/S1359-6454(00)00379-7 Ding, 2016, Blast alleviation of cellular sacrificial cladding: a nonlinear plastic shock model, Int. J. Appl. Mech., 8, 10.1142/S1758825116500575 Evans, 2001, The topological design of multifunctional cellular metals, Prog. Mater Sci., 46, 309, 10.1016/S0079-6425(00)00016-5 Gaitanaros, 2015, On the effect of relative density on the crushing and energy absorption of open-cell foams under impact, Int. J. Impact Eng., 82, 3, 10.1016/j.ijimpeng.2015.03.011 Gibson, 1997 Hanssen, 2002, Validation of constitutive models applicable to aluminium foams, Int. J. Mech. Sci., 44, 359, 10.1016/S0020-7403(01)00091-1 Hu, 2007, Constitutive relation of open–celled metal foams based on the mesoscopic behavior of random cells, Key Eng. Mater., 340, 403, 10.4028/www.scientific.net/KEM.340-341.403 Jang, 2009, On the crushing of aluminum open-cell foams: part I. Experiments, Int. J. Solids Struct., 46, 617, 10.1016/j.ijsolstr.2008.09.008 Jens, 2014, High-strength cellular ceramic composites with 3D microarchitecture, Proc. Natl. Acad. Sci., 111, 2453, 10.1073/pnas.1315147111 Kim, 2002, New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency, Thin-Walled Struct., 40, 311, 10.1016/S0263-8231(01)00069-6 Li, 2012, A phenomenological constitutive model of aluminum alloy foams at various strain rates, Int. J. Mod. Phys. B, 22, 6135, 10.1142/S0217979208051698 Liu, 2004, A phenomenological constitutive model for foams under large deformations, Polymer Eng. Sci., 44, 463, 10.1002/pen.20041 Liu, 2009, A numerical study on the rate sensitivity of cellular metals, Int. J. Solids Struct., 46, 3988, 10.1016/j.ijsolstr.2009.07.024 Maiti, 2016, 3D printed cellular solid outperforms traditional stochastic foam in long-term mechanical response, Sci. Rep., 6 McCullough, 1999, Uniaxial stress–strain behaviour of aluminium alloy foams, Acta Mater., 47, 2323, 10.1016/S1359-6454(99)00128-7 Merrett, 2013, The blast and impact loading of aluminium foam, Mater. Des., 44, 311, 10.1016/j.matdes.2012.08.016 Mu, 2010, Effect of cell shape anisotropy on the compressive behavior of closed-cell aluminum foams, Mater. Des., 31, 1567, 10.1016/j.matdes.2009.09.044 Okabe, 1992 Roberts, 2002, Elastic properties of model random three-dimensional open-cell solids, J. Mech. Phys. Solids, 50, 33, 10.1016/S0022-5096(01)00056-4 Rusch, 1969, Load-compression behavior of flexible foams, J. Appl. Polym. Sci., 13, 2297, 10.1002/app.1969.070131106 Schraad, 2006, A stochastic constitutive model for disordered cellular materials: finite-strain uni-axial compression, Int. J. Solids Struct., 43, 3542, 10.1016/j.ijsolstr.2005.05.018 Sun, 2016, Determination of the constitutive relation and critical condition for the shock compression of cellular solids, Mech. Mater., 99, 26, 10.1016/j.mechmat.2016.04.004 Tan, 2005, Dynamic compressive strength properties of aluminium foams. Part I—experimental data and observations, J. Mech. Phys. Solids, 53, 2174, 10.1016/j.jmps.2005.05.007 Tymrak, 2014, Mechanical properties of components fabricated with open-source 3-D printers under realistic environmental conditions, Mater. Des., 58, 242, 10.1016/j.matdes.2014.02.038 Wang, 2011, A further study on the energy absorption capability of thin-walled tubes under axial crushing Wang, 2017, Dynamic material parameters of closed-cell foams under high-velocity impact, Int. J. Impact Eng., 99, 111, 10.1016/j.ijimpeng.2016.09.013 Weibull, 1951, A statistical distribution function of wide applicability, J. Appl. Mech., 9, 293, 10.1115/1.4010337 Weisstein Yan, 1996, A review of rapid prototyping technologies and systems, Comput. Aided Des., 28, 307, 10.1016/0010-4485(95)00035-6 Yang, 2017, Crashworthiness of graded cellular materials: a design strategy based on a nonlinear plastic shock mode, Mater. Sci. Eng., 680, 411, 10.1016/j.msea.2016.11.010 Zaretsky, 1995, Compressive stress-strain relations and shock Hugoniot curves of flexible foams, J. Eng. Mater. Technol. (Trans. ASME), 117, 278, 10.1115/1.2804540 Zheng, 2014, Dynamic stress-strain states for metal foams using a 3D cellular model, J. Mech. Phys. Solids, 72, 93, 10.1016/j.jmps.2014.07.013 Zheng, 2005, Dynamic crushing of 2D cellular structures: a finite element study, Int. J. Impact Eng., 32, 650, 10.1016/j.ijimpeng.2005.05.007 Zhu, 2002, Effects of cell irregularity on the high strain compression of open-cell foams, Acta Mater., 50, 1041, 10.1016/S1359-6454(01)00402-5