A porosity-based model of dynamic compaction in under-dense materials

Moore, John A.; Barton, Nathan R.

doi:10.1016/j.ijsolstr.2022.111598

Title: A porosity-based model of dynamic compaction in under-dense materials

Journal Article · 01 June 2022 · International Journal of Solids and Structures

DOI: https://doi.org/10.1016/j.ijsolstr.2022.111598 · OSTI ID:2373322

; Barton, Nathan R.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 2373322

Report Number(s):: LLNL-JRNL-828328; S0020768322001366; 111598; PII: S0020768322001366

Journal Information:: International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Journal Issue: C Vol. 246-247; ISSN 0020-7683

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (129)

Bayesian Machine Learning in Metamaterial Design: Fragile Becomes Supercompressible Bessa, Miguel A.; Glowacki, Piotr; Houlder, Michael Advanced Materials, Vol. 31, Issue 48 https://doi.org/10.1002/adma.201904845	journal	October 2019
Application of Gurson Model for Evaluation of Density-Dependent Mechanical Behavior of Polyurethane Foam: Comparative Study on Explicit and Implicit Method Lee, Jeong-Ho; Kim, Seul-Kee; Park, Seong-Bo Macromolecular Materials and Engineering, Vol. 301, Issue 6 https://doi.org/10.1002/mame.201500431	journal	April 2016
Plasticity and damage analysis of metal foams under dynamic loading da Cunda, L. A. B.; Oliveira, B. F.; Creus, G. J. Materialwissenschaft und Werkstofftechnik, Vol. 42, Issue 5 https://doi.org/10.1002/mawe.201100788	journal	May 2011
Advancements in multiresolution analysis Moore, John A.; Li, Ying; O'Connor, Devin T. International Journal for Numerical Methods in Engineering, Vol. 102, Issue 3-4 https://doi.org/10.1002/nme.4840	journal	January 2015
A void growth- and coalescence-dependent anisotropic damage model for polymeric foams Kwon, Sun-Beom; Kim, Jeong-Dae; Lee, Jae-Myung Continuum Mechanics and Thermodynamics, Vol. 33, Issue 2 https://doi.org/10.1007/s00161-020-00926-9	journal	September 2020
Transfer learning of deep material network for seamless structure–property predictions Liu, Zeliang; Wu, C. T.; Koishi, M. Computational Mechanics, Vol. 64, Issue 2 https://doi.org/10.1007/s00466-019-01704-4	journal	April 2019
On the energy conservation and critical velocities for the propagation of a “steady-shock” wave in a bar made of cellular material Wang, Li-Li; Yang, Li-Ming; Ding, Yuan-Yuan Acta Mechanica Sinica, Vol. 29, Issue 3 https://doi.org/10.1007/s10409-013-0024-3	journal	April 2013
Modelling of nucleation and void growth in dynamic pressure loading, application to spall test on tantalum Czarnota, Christophe; Mercier, Sébastien; Molinari, Alain International Journal of Fracture, Vol. 141, Issue 1-2 https://doi.org/10.1007/s10704-006-0070-y	journal	September 2006
A micromechanical constitutive model for dynamic damage and fracture of ductile materials Jacques, N.; Czarnota, C.; Mercier, S. International Journal of Fracture, Vol. 162, Issue 1-2 https://doi.org/10.1007/s10704-009-9436-2	journal	January 2010
Ductile failure modeling Benzerga, Ahmed Amine; Leblond, Jean-Baptiste; Needleman, Alan International Journal of Fracture, Vol. 201, Issue 1 https://doi.org/10.1007/s10704-016-0142-6	journal	July 2016
A degradation function consistent with Cocks–Ashby porosity kinetics Moore, John A. International Journal of Fracture, Vol. 209, Issue 1-2 https://doi.org/10.1007/s10704-017-0247-6	journal	October 2017
A comparison of Gurson and Cocks–Ashby porosity kinetics and degradation functions Moore, John A.; Frasca, Andrew International Journal of Fracture, Vol. 229, Issue 2 https://doi.org/10.1007/s10704-021-00539-6	journal	April 2021
A Manifold Learning Approach to Data-Driven Computational Elasticity and Inelasticity Ibañez, Rubén; Abisset-Chavanne, Emmanuelle; Aguado, Jose Vicente Archives of Computational Methods in Engineering, Vol. 25, Issue 1 https://doi.org/10.1007/s11831-016-9197-9	journal	October 2016
Modeling the Effects of Grain and Porosity Structure on Copper Spall Response Moore, John A.; Li, Shiu Fai; Rhee, Moon Journal of Dynamic Behavior of Materials, Vol. 4, Issue 4 https://doi.org/10.1007/s40870-018-0170-6	journal	August 2018
Analysis of the cup-cone fracture in a round tensile bar Tvergaard, V.; Needleman, A. Acta Metallurgica, Vol. 32, Issue 1 https://doi.org/10.1016/0001-6160(84)90213-X	journal	January 1984
A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable Follansbee, P. S.; Kocks, U. F. Acta Metallurgica, Vol. 36, Issue 1 https://doi.org/10.1016/0001-6160(88)90030-2	journal	January 1988
Strain-rate and inertia effects in the collapse of two types of energy-absorbing structure Calladine, C. R.; English, R. W. International Journal of Mechanical Sciences, Vol. 26, Issue 11-12 https://doi.org/10.1016/0020-7403(84)90021-3	journal	January 1984
Void growth and coalescence in porous plastic solids Koplik, J.; Needleman, A. International Journal of Solids and Structures, Vol. 24, Issue 8 https://doi.org/10.1016/0020-7683(88)90051-0	journal	January 1988
On the ductile enlargement of voids in triaxial stress fields∗ Rice, J. R.; Tracey, D. M. Journal of the Mechanics and Physics of Solids, Vol. 17, Issue 3 https://doi.org/10.1016/0022-5096(69)90033-7	journal	June 1969
Inelastic deformation of porous materials Cocks, A. C. F. Journal of the Mechanics and Physics of Solids, Vol. 37, Issue 6 https://doi.org/10.1016/0022-5096(89)90014-8	journal	January 1989
The constitutive law of nonlinear viscous and porous materials Michel, J. C.; Suquet, P. Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 4 https://doi.org/10.1016/0022-5096(92)90004-L	journal	May 1992
A damage model for ductile metals Bammann, D. J.; Aifantis, E. C. Nuclear Engineering and Design, Vol. 116, Issue 3 https://doi.org/10.1016/0029-5493(89)90095-2	journal	September 1989
Computational methods in Lagrangian and Eulerian hydrocodes Benson, David J. Computer Methods in Applied Mechanics and Engineering, Vol. 99, Issue 2-3 https://doi.org/10.1016/0045-7825(92)90042-I	journal	September 1992
On creep fracture by void growth Cocks, A. C. F.; Ashby, M. F. Progress in Materials Science, Vol. 27, Issue 3-4 https://doi.org/10.1016/0079-6425(82)90001-9	journal	January 1982
Constitutive potentials for dilutely voided nonlinear materials Duva, J. M.; Hutchinson, J. W. Mechanics of Materials, Vol. 3, Issue 1 https://doi.org/10.1016/0167-6636(84)90013-9	journal	March 1984
A note on a ‘velocity sensitive’ energy-absorbing structure Zhang, T. G.; Yu, T. X. International Journal of Impact Engineering, Vol. 8, Issue 1 https://doi.org/10.1016/0734-743X(89)90030-4	journal	January 1989
Inertia-sensitive impact energy-absorbing structures part I: Effects of inertia and elasticity Su, X. Y.; Yu, T. X.; Reid, S. R. International Journal of Impact Engineering, Vol. 16, Issue 4 https://doi.org/10.1016/0734-743X(94)00061-Z	journal	August 1995
Inertia-sensitive impact energy-absorbing structures part II: Effect of strain rate Su, X. Y.; Yu, T. X.; Reid, S. R. International Journal of Impact Engineering, Vol. 16, Issue 4 https://doi.org/10.1016/0734-743X(94)00062-2	journal	August 1995
The effect of dislocation drag on the stress-strain behavior of F.C.C. metals Zerilli, F. J.; Armstrong, R. W. Acta Metallurgica et Materialia, Vol. 40, Issue 8 https://doi.org/10.1016/0956-7151(92)90166-C	journal	August 1992
The densification of powders by power-law creep during hot isostatic pressing Duva, J. M.; Crow, P. D. Acta Metallurgica et Materialia, Vol. 40, Issue 1 https://doi.org/10.1016/0956-7151(92)90196-L	journal	January 1992
Validation of constitutive models applicable to aluminium foams Hanssen, A. G.; Hopperstad, O. S.; Langseth, M. International Journal of Mechanical Sciences, Vol. 44, Issue 2 https://doi.org/10.1016/S0020-7403(01)00091-1	journal	February 2002
The effects of thermal softening and heat conduction on the dynamic growth of voids Wu, X. Y.; Ramesh, K. T.; Wright, T. W. International Journal of Solids and Structures, Vol. 40, Issue 17, p. 4461-4478 https://doi.org/10.1016/S0020-7683(03)00214-2	journal	August 2003
The coupled effects of plastic strain gradient and thermal softening on the dynamic growth of voids Wu, X. Y.; Ramesh, K. T.; Wright, T. W. International Journal of Solids and Structures, Vol. 40, Issue 24 https://doi.org/10.1016/S0020-7683(03)00439-6	journal	December 2003
Micromechanical modelling of porous materials under dynamic loading Molinari, A.; Mercier, S. Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 7 https://doi.org/10.1016/S0022-5096(01)00003-5	journal	July 2001
Micromechanics of coalescence in ductile fracture Benzerga, A. Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 6 https://doi.org/10.1016/S0022-5096(01)00125-9	journal	June 2002
The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading Wu, X. Y.; Ramesh, K. T.; Wright, T. W. Journal of the Mechanics and Physics of Solids, Vol. 51, Issue 1 https://doi.org/10.1016/S0022-5096(02)00079-0	journal	January 2003
Manufacture, characterisation and application of cellular metals and metal foams Banhart, John Progress in Materials Science, Vol. 46, Issue 6, p. 559-632 https://doi.org/10.1016/S0079-6425(00)00002-5	journal	January 2001
Creep crack growth prediction using a damage based approach Yatomi, M.; Nikbin, K. M.; O'Dowd, N. P. International Journal of Pressure Vessels and Piping, Vol. 80, Issue 7-8 https://doi.org/10.1016/S0308-0161(03)00110-8	journal	July 2003
Dynamic buckling of an imperfect elastic, visco-plastic plate Hönig, A.; Stronge, W. J. International Journal of Impact Engineering, Vol. 24, Issue 9 https://doi.org/10.1016/S0734-743X(00)00007-5	journal	October 2000
High strain rate compressive behaviour of aluminium alloy foams Deshpande, V. S.; Fleck, N. A. International Journal of Impact Engineering, Vol. 24, Issue 3 https://doi.org/10.1016/S0734-743X(99)00153-0	journal	March 2000
A plasticity model for cellular materials with open-celled structure Zhang, Tinggang; Lee, Jonah International Journal of Plasticity, Vol. 19, Issue 6 https://doi.org/10.1016/S0749-6419(01)00065-1	journal	June 2003
Associative versus non-associative porous viscoplasticity based on internal state variable concepts Marin, E. B.; McDowell, D. L. International Journal of Plasticity, Vol. 12, Issue 5 https://doi.org/10.1016/S0749-6419(96)00023-X	journal	January 1996
Strain rate sensitivity and defects in steel foam Park, C.; Nutt, S. R. Materials Science and Engineering: A, Vol. 323, Issue 1-2 https://doi.org/10.1016/S0921-5093(01)01372-7	journal	January 2002
Strain rate sensitivity of a closed-cell aluminum foam Paul, A.; Ramamurty, U. Materials Science and Engineering: A, Vol. 281, Issue 1-2 https://doi.org/10.1016/S0921-5093(99)00750-9	journal	April 2000
Hypervelocity impact testing of advanced materials and structures for micrometeoroid and orbital debris shielding Ryan, Shannon; Christiansen, Eric L. Acta Astronautica, Vol. 83 https://doi.org/10.1016/j.actaastro.2012.09.012	journal	February 2013
Void growth in metals: Atomistic calculations Traiviratana, Sirirat; Bringa, Eduardo M.; Benson, David J. Acta Materialia, Vol. 56, Issue 15 https://doi.org/10.1016/j.actamat.2008.03.047	journal	September 2008
Additively manufactured metallic porous biomaterials based on minimal surfaces: A unique combination of topological, mechanical, and mass transport properties Bobbert, F. S. L.; Lietaert, K.; Eftekhari, A. A. Acta Biomaterialia, Vol. 53 https://doi.org/10.1016/j.actbio.2017.02.024	journal	April 2017
Intelligent finite element method: An evolutionary approach to constitutive modeling Javadi, A. A.; Rezania, M. Advanced Engineering Informatics, Vol. 23, Issue 4 https://doi.org/10.1016/j.aei.2009.06.008	journal	October 2009
Data-driven computational mechanics Kirchdoerfer, T.; Ortiz, M. Computer Methods in Applied Mechanics and Engineering, Vol. 304 https://doi.org/10.1016/j.cma.2016.02.001	journal	June 2016
Self-consistent clustering analysis: An efficient multi-scale scheme for inelastic heterogeneous materials Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam Computer Methods in Applied Mechanics and Engineering, Vol. 306 https://doi.org/10.1016/j.cma.2016.04.004	journal	July 2016
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality Bessa, M. A.; Bostanabad, R.; Liu, Z. Computer Methods in Applied Mechanics and Engineering, Vol. 320 https://doi.org/10.1016/j.cma.2017.03.037	journal	June 2017
A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning Wang, Kun; Sun, WaiChing Computer Methods in Applied Mechanics and Engineering, Vol. 334 https://doi.org/10.1016/j.cma.2018.01.036	journal	June 2018
Multiscale topology optimization using neural network surrogate models White, Daniel A.; Arrighi, William J.; Kudo, Jun Computer Methods in Applied Mechanics and Engineering, Vol. 346 https://doi.org/10.1016/j.cma.2018.09.007	journal	April 2019
A deep material network for multiscale topology learning and accelerated nonlinear modeling of heterogeneous materials Liu, Zeliang; Wu, C. T.; Koishi, M. Computer Methods in Applied Mechanics and Engineering, Vol. 345 https://doi.org/10.1016/j.cma.2018.09.020	journal	March 2019
Materials knowledge system for nonlinear composites Latypov, Marat I.; Toth, Laszlo S.; Kalidindi, Surya R. Computer Methods in Applied Mechanics and Engineering, Vol. 346 https://doi.org/10.1016/j.cma.2018.11.034	journal	April 2019
Self-consistent clustering analysis for multiscale modeling at finite strains Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam Computer Methods in Applied Mechanics and Engineering, Vol. 349 https://doi.org/10.1016/j.cma.2019.02.027	journal	June 2019
Deep material network with cohesive layers: Multi-stage training and interfacial failure analysis Liu, Zeliang Computer Methods in Applied Mechanics and Engineering, Vol. 363 https://doi.org/10.1016/j.cma.2020.112913	journal	May 2020
Unified constitutive model with consideration for effects of porosity and its application to polyurethane foam Lee, Jeong-Ho; Kim, Seul-Kee; Park, Sungkyun Composites Part B: Engineering, Vol. 138 https://doi.org/10.1016/j.compositesb.2017.11.030	journal	April 2018
Theoretical and numerical modelling of creep crack growth in a carbon–manganese steel Yatomi, M.; O’Dowd, N. P.; Nikbin, K. M. Engineering Fracture Mechanics, Vol. 73, Issue 9 https://doi.org/10.1016/j.engfracmech.2005.12.012	journal	June 2006
Creep failure simulations of 316H at 550°C: Part I – A method and validation Oh, Chang-Sik; Kim, Nak-Hyun; Kim, Yun-Jae Engineering Fracture Mechanics, Vol. 78, Issue 17 https://doi.org/10.1016/j.engfracmech.2011.08.015	journal	December 2011
Neural network based constitutive model for elastomeric foams Liang, G.; Chandrashekhara, K. Engineering Structures, Vol. 30, Issue 7 https://doi.org/10.1016/j.engstruct.2007.12.021	journal	July 2008
Micromorphic continuum modelling of the deformation and fracture behaviour of nickel foams Dillard, T.; Forest, S.; Ienny, P. European Journal of Mechanics - A/Solids, Vol. 25, Issue 3 https://doi.org/10.1016/j.euromechsol.2005.11.006	journal	May 2006
A modified Gurson model to account for the influence of the Lode parameter at high triaxialities Vadillo, G.; Reboul, J.; Fernández-Sáez, J. European Journal of Mechanics - A/Solids, Vol. 56 https://doi.org/10.1016/j.euromechsol.2015.09.010	journal	March 2016
Dynamic crushing of a one-dimensional chain of type II structures Zou, Z.; Tan, P. J.; Reid, S. R. International Journal of Impact Engineering, Vol. 34, Issue 2 https://doi.org/10.1016/j.ijimpeng.2005.08.002	journal	February 2007
Modeling loading rate effect on crushing stress of metallic cellular materials Ma, G. W.; Ye, Z. Q.; Shao, Z. S. International Journal of Impact Engineering, Vol. 36, Issue 6 https://doi.org/10.1016/j.ijimpeng.2008.11.013	journal	June 2009
A theoretical study of shock front propagation in the density graded cellular rods Liu, Jiagui; Hou, Bing; Lu, Fangyun International Journal of Impact Engineering, Vol. 80 https://doi.org/10.1016/j.ijimpeng.2015.02.001	journal	June 2015
A two-phase model to simulate the 1-D shock wave propagation in porous metal foam Feldgun, V. R.; Karinski, Y. S.; Yankelevsky, D. Z. International Journal of Impact Engineering, Vol. 82 https://doi.org/10.1016/j.ijimpeng.2015.03.012	journal	August 2015
Dynamic compressive behaviour of cellular materials: A review of phenomenon, mechanism and modelling Sun, Yongle; Li, Q. M. International Journal of Impact Engineering, Vol. 112 https://doi.org/10.1016/j.ijimpeng.2017.10.006	journal	February 2018
Experimental investigation on the dynamic behaviour of metal foam: From yield to densification Liu, Jiagui; He, Siyuan; Zhao, Han International Journal of Impact Engineering, Vol. 114 https://doi.org/10.1016/j.ijimpeng.2017.12.016	journal	April 2018
The effect of the reflected shock wave on the foam material Yang, Baohui; Cao, Zengqiang; Chang, Zhengping International Journal of Impact Engineering, Vol. 149 https://doi.org/10.1016/j.ijimpeng.2020.103773	journal	March 2021
Measurement of strain rate sensitivity of aluminium foams for energy dissipation Montanini, Roberto International Journal of Mechanical Sciences, Vol. 47, Issue 1 https://doi.org/10.1016/j.ijmecsci.2004.12.007	journal	January 2005
A non-quadratic yield function for polymeric foams Wang, D. -A.; Pan, J. International Journal of Plasticity, Vol. 22, Issue 3 https://doi.org/10.1016/j.ijplas.2005.03.011	journal	March 2006
Embedded polycrystal plasticity and adaptive sampling Barton, Nathan R.; Knap, Jaroslaw; Arsenlis, Athanasios International Journal of Plasticity, Vol. 24, Issue 2 https://doi.org/10.1016/j.ijplas.2007.03.004	journal	February 2008
Nonlocal modeling in high-velocity impact failure of 6061-T6 aluminum Ahad, F. R.; Enakoutsa, K.; Solanki, K. N. International Journal of Plasticity, Vol. 55 https://doi.org/10.1016/j.ijplas.2013.10.001	journal	April 2014
On the micromechanics of void dynamics at extreme rates Wilkerson, J. W. International Journal of Plasticity, Vol. 95 https://doi.org/10.1016/j.ijplas.2017.03.008	journal	August 2017
A hybrid approach to simulate the homogenized irreversible elastic–plastic deformations and damage of foams by neural networks Settgast, Christoph; Hütter, Geralf; Kuna, Meinhard International Journal of Plasticity, Vol. 126 https://doi.org/10.1016/j.ijplas.2019.11.003	journal	March 2020
Constitutive-damage modeling and computational implementation for simulation of elasto-viscoplastic-damage behavior of polymeric foams over a wide range of strain rates and temperatures Lee, Jeong-Ho; Ryu, Dong-Man; Lee, Chi-Seung International Journal of Plasticity, Vol. 130 https://doi.org/10.1016/j.ijplas.2020.102712	journal	July 2020
On the strength enhancement under impact loading of square tubes made from rate insensitive metals Zhao, Han; Abdennadher, Salim International Journal of Solids and Structures, Vol. 41, Issue 24-25 https://doi.org/10.1016/j.ijsolstr.2004.05.039	journal	December 2004
Generalized continuum modeling of 2-D periodic cellular solids Kumar, Rajesh S.; McDowell, David L. International Journal of Solids and Structures, Vol. 41, Issue 26 https://doi.org/10.1016/j.ijsolstr.2004.06.038	journal	December 2004
A numerical study on the rate sensitivity of cellular metals Liu, Y. D.; Yu, J. L.; Zheng, Z. J. International Journal of Solids and Structures, Vol. 46, Issue 22-23 https://doi.org/10.1016/j.ijsolstr.2009.07.024	journal	November 2009
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results Askes, Harm; Aifantis, Elias C. International Journal of Solids and Structures, Vol. 48, Issue 13 https://doi.org/10.1016/j.ijsolstr.2011.03.006	journal	June 2011
Couple stress theory for solids Hadjesfandiari, Ali R.; Dargush, Gary F. International Journal of Solids and Structures, Vol. 48, Issue 18 https://doi.org/10.1016/j.ijsolstr.2011.05.002	journal	September 2011
Propagation of compaction waves in metal foams exhibiting strain hardening Karagiozova, D.; Langdon, G. S.; Nurick, G. N. International Journal of Solids and Structures, Vol. 49, Issue 19-20 https://doi.org/10.1016/j.ijsolstr.2012.03.012	journal	October 2012
On the dynamic mechanical properties of open-cell metal foams – A re-assessment of the ‘simple-shock theory’ Tan, P. J.; Reid, S. R.; Harrigan, J. J. International Journal of Solids and Structures, Vol. 49, Issue 19-20 https://doi.org/10.1016/j.ijsolstr.2012.03.026	journal	October 2012
Dispersive waves in microstructured solids Berezovski, A.; Engelbrecht, J.; Salupere, A. International Journal of Solids and Structures, Vol. 50, Issue 11-12 https://doi.org/10.1016/j.ijsolstr.2013.02.018	journal	June 2013
Dynamic crushing of aluminum foams: Part I – Experiments Barnes, A. T.; Ravi-Chandar, K.; Kyriakides, S. International Journal of Solids and Structures, Vol. 51, Issue 9 https://doi.org/10.1016/j.ijsolstr.2013.11.019	journal	May 2014
Dynamic crushing of aluminum foams: Part II – Analysis Gaitanaros, S.; Kyriakides, S. International Journal of Solids and Structures, Vol. 51, Issue 9 https://doi.org/10.1016/j.ijsolstr.2013.11.020	journal	May 2014
Representative volume element calculations under constant stress triaxiality, Lode parameter, and shear ratio Tekog̃lu, C. International Journal of Solids and Structures, Vol. 51, Issue 25-26 https://doi.org/10.1016/j.ijsolstr.2014.09.001	journal	December 2014
Propagation of the compaction waves in a cellular block with varying cross-section Shen, C. J.; Lu, G.; Ruan, D. International Journal of Solids and Structures, Vol. 88-89 https://doi.org/10.1016/j.ijsolstr.2016.01.014	journal	June 2016
Modelling of micro-inertia effects in closed-cell foams with application to acoustic and shock wave propagation Barthélémy, R.; Jacques, N.; Kerampran, S. International Journal of Solids and Structures, Vol. 97-98 https://doi.org/10.1016/j.ijsolstr.2016.07.005	journal	October 2016
Measurements and micro-mechanical modelling of the response of sintered titanium foams Siegkas, P.; Petrinic, N.; Tagarielli, V. L. Journal of the Mechanical Behavior of Biomedical Materials, Vol. 57 https://doi.org/10.1016/j.jmbbm.2016.02.024	journal	April 2016
Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models Tan, P. J.; Reid, S. R.; Harrigan, J. J. Journal of the Mechanics and Physics of Solids, Vol. 53, Issue 10 https://doi.org/10.1016/j.jmps.2005.05.003	journal	October 2005
Dynamic compressive strength properties of aluminium foams. Part I—experimental data and observations Tan, P. J.; Reid, S. R.; Harrigan, J. J. Journal of the Mechanics and Physics of Solids, Vol. 53, Issue 10 https://doi.org/10.1016/j.jmps.2005.05.007	journal	October 2005
Modelling of dynamic ductile fracture and application to the simulation of plate impact tests on tantalum Czarnota, C.; Jacques, N.; Mercier, S. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 4 https://doi.org/10.1016/j.jmps.2007.07.017	journal	April 2008
Effects of microscale inertia on dynamic ductile crack growth Jacques, N.; Mercier, S.; Molinari, A. Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 4 https://doi.org/10.1016/j.jmps.2011.12.010	journal	April 2012
Dynamic stress–strain states for metal foams using a 3D cellular model Zheng, Zhijun; Wang, Changfeng; Yu, Jilin Journal of the Mechanics and Physics of Solids, Vol. 72 https://doi.org/10.1016/j.jmps.2014.07.013	journal	December 2014
The structure of steady shock waves in porous metals Czarnota, Christophe; Molinari, Alain; Mercier, Sébastien Journal of the Mechanics and Physics of Solids, Vol. 107 https://doi.org/10.1016/j.jmps.2017.06.005	journal	October 2017
A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals Nguyen, Thao; Luscher, D. J.; Wilkerson, J. W. Journal of the Mechanics and Physics of Solids, Vol. 108 https://doi.org/10.1016/j.jmps.2017.07.020	journal	November 2017
The blast and impact loading of aluminium foam Merrett, R. P.; Langdon, G. S.; Theobald, M. D. Materials & Design, Vol. 44 https://doi.org/10.1016/j.matdes.2012.08.016	journal	February 2013
Two-scale study of the fracture of an aluminum foam by X-ray tomography and finite element modeling Petit, Clémence; Maire, Eric; Meille, Sylvain Materials & Design, Vol. 120 https://doi.org/10.1016/j.matdes.2017.02.009	journal	April 2017
Shock loading simulation using density-graded metallic foam projectiles Li, Lang; Han, Bin; He, Si-Yuan Materials & Design, Vol. 164 https://doi.org/10.1016/j.matdes.2018.107546	journal	February 2019
Mechanisms and mechanics of compressive deformation in open-cell Al foams Zhou, J.; Shrotriya, P.; Soboyejo, W. O. Mechanics of Materials, Vol. 36, Issue 8 https://doi.org/10.1016/j.mechmat.2003.05.004	journal	August 2004
Constitutive behavior of porous ductile materials accounting for micro-inertia and void shape Sartori, C.; Mercier, S.; Jacques, N. Mechanics of Materials, Vol. 80 https://doi.org/10.1016/j.mechmat.2013.12.006	journal	January 2015
A constitutive model for porous solids taking into account microscale inertia and progressive void nucleation Jacques, N.; Mercier, S.; Molinari, A. Mechanics of Materials, Vol. 80 https://doi.org/10.1016/j.mechmat.2014.01.008	journal	January 2015
Constitutive modeling of plastic deformation behavior of open-cell foam structures using neural networks Settgast, Christoph; Abendroth, Martin; Kuna, Meinhard Mechanics of Materials, Vol. 131 https://doi.org/10.1016/j.mechmat.2019.01.015	journal	April 2019
Analysis of anisotropy and strain rate sensitivity of open-cell metal foam Vesenjak, M.; Veyhl, C.; Fiedler, T. Materials Science and Engineering: A, Vol. 541 https://doi.org/10.1016/j.msea.2012.02.010	journal	April 2012
Data-Driven Computational Plasticity Chinesta, Francisco; Ladeveze, Pierre; Ibanez, Ruben Procedia Engineering, Vol. 207 https://doi.org/10.1016/j.proeng.2017.10.763	journal	January 2017
Design of Metal Foam Cladding Subjected to Close-Range Blast Zhou, Hongyuan; Ma, Guowei; Li, Jingde Journal of Performance of Constructed Facilities, Vol. 29, Issue 4 https://doi.org/10.1061/(ASCE)CF.1943-5509.0000606	journal	August 2015
Characterization of recompressed spall in copper gas gun targets Becker, R.; LeBlanc, M. M.; Cazamias, J. U. Journal of Applied Physics, Vol. 102, Issue 9 https://doi.org/10.1063/1.2802589	journal	November 2007
A constitutive model for metals applicable at high‐strain rate Steinberg, D. J.; Cochran, S. G.; Guinan, M. W. Journal of Applied Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.327799	journal	March 1980
Dislocation‐mechanics‐based constitutive relations for material dynamics calculations Zerilli, Frank J.; Armstrong, Ronald W. Journal of Applied Physics, Vol. 61, Issue 5 https://doi.org/10.1063/1.338024	journal	March 1987
Description of tantalum deformation behavior by dislocation mechanics based constitutive relations Zerilli, Frank J.; Armstrong, Ronald W. Journal of Applied Physics, Vol. 68, Issue 4 https://doi.org/10.1063/1.346636	journal	August 1990
A multiscale strength model for tantalum over an extended range of strain rates Barton, N. R.; Rhee, M. Journal of Applied Physics, Vol. 114, Issue 12 https://doi.org/10.1063/1.4822027	journal	September 2013
Modeling of the Mechanical Behavior of Metallic Foams: Damage Effects at Finite Strains Oliveira, Branca F.; da Cunda, Luiz A. B.; Creus, Guillermo J. Mechanics of Advanced Materials and Structures, Vol. 16, Issue 2 https://doi.org/10.1080/15376490802543733	journal	February 2009
Constitutive Modeling and Material Characterization of Polymeric Foams Zhang, J.; Lin, Z.; Wong, A. Journal of Engineering Materials and Technology, Vol. 119, Issue 3 https://doi.org/10.1115/1.2812258	journal	July 1997
Creep of Power-Law Material Containing Spherical Voids Sofronis, P.; McMeeking, R. M. Journal of Applied Mechanics, Vol. 59, Issue 2S https://doi.org/10.1115/1.2899512	journal	June 1992
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media Gurson, A. L. Journal of Engineering Materials and Technology, Vol. 99, Issue 1 https://doi.org/10.1115/1.3443401	journal	January 1977
A Criterion for Ductile Fracture by the Growth of Holes McClintock, F. A. Journal of Applied Mechanics, Vol. 35, Issue 2 https://doi.org/10.1115/1.3601204	journal	June 1968
A Computational Constitutive Model for Glass Subjected to Large Strains, High Strain Rates and High Pressures Holmquist, Timothy J.; Johnson, Gordon R. Journal of Applied Mechanics, Vol. 78, Issue 5 https://doi.org/10.1115/1.4004326	journal	July 2011
Constitutive Modeling of Porous Shape Memory Alloys Using Gurson–Tvergaard–Needleman Model Under Isothermal Conditions Zhu, Xiang; Chu, Liangliang; Dui, Guansuo International Journal of Applied Mechanics, Vol. 12, Issue 04 https://doi.org/10.1142/S1758825120500386	journal	May 2020
A Combined Kinematic-Isotropic Hardening Theory for Porous Inelasticity of Ductile Metals McDowell, D. L.; Marin, E.; Bertoncelli, C. International Journal of Damage Mechanics, Vol. 2, Issue 2 https://doi.org/10.1177/105678959300200203	journal	April 1993
Models for Compressible Elasto-Plasticity Based on Internal State Variables Marin, E. B.; McDowell, D. L. International Journal of Damage Mechanics, Vol. 7, Issue 1 https://doi.org/10.1177/105678959800700103	journal	January 1998
Criteria for Yielding or Failure of Cellular Materials Abrate, Serge Journal of Sandwich Structures & Materials, Vol. 10, Issue 1 https://doi.org/10.1177/1099636207070997	journal	January 2008
Intergranular fracture during power-law creep under multiaxial stresses Cocks, A. C. F.; Ashby, M. F. Metal Science, Vol. 14, Issue 8-9 https://doi.org/10.1179/030634580790441187	journal	August 1980
Aluminum Foams: On the Road to Real Applications Banhart, John MRS Bulletin, Vol. 28, Issue 4 https://doi.org/10.1557/mrs2003.83	journal	April 2003
A Review of the Application of Machine Learning and Data Mining Approaches in Continuum Materials Mechanics Bock, Frederic E.; Aydin, Roland C.; Cyron, Christian J. Frontiers in Materials, Vol. 6 https://doi.org/10.3389/fmats.2019.00110	journal	May 2019
Open-Cellular Co-Base and Ni-Base Superalloys Fabricated by Electron Beam Melting Murr, Lawrence; Li, Shujun; Tian, Yuxing Materials, Vol. 4, Issue 4 https://doi.org/10.3390/ma4040782	journal	April 2011
Neural Network Based Constitutive Model for Rubber Material Shen, Y.; Chandrashekhara, K.; Breig, W. F. Rubber Chemistry and Technology, Vol. 77, Issue 2 https://doi.org/10.5254/1.3547822	journal	May 2004
Temperature-Dependent Viscoplastic-Damage Constitutive Model for Nonlinear Compressive Behavior of Polyurethane Foam Lee, Jeong-Ho; Kim, Seul-Kee; Lee, Jae-Myung Journal of the Computational Structural Engineering Institute of Korea, Vol. 29, Issue 5 https://doi.org/10.7734/COSEIK.2016.29.5.437	journal	October 2016

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