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Publications

2023

109. Xu L., Lamont, S.C., Li T., Zhang Y., Pan W., Gao C., Zhu C., Chen, S., Hu H., Ding J. and Vernerey F.J.*, Nonlinear Viscoelasticity and Toughening Mechanisms in Nanoclay-PNIPAAm Double Network Hydrogels, ACS Macro Letters

108.  Lamont S.C, Weishaar K., Bruns C. and Vernerey F.J.*, Micromechanics and damage in slide-ring networks, Physical Review E

107. Wagner R.J. and Vernerey F.J.*, Coupled bond dynamics alters relaxation in polymers with multiple intrinsic dissociation rates, Soft Matter     

106. Crespo-Cuevas V.,Ferguson  V.L. and Vernerey F.J.*, Poroviscoelasto-plasticity of agarose-based hydrogels, Soft Matter

105. Lamont S., Fropier J., Abadie J., Piat E., Constantinescu A., Roux C.and Vernerey F.J.*, Profiling oocytes with neural networks from images and mechanical data, Journal of the Mechanical Behavior of Biomedical Materials 138, 105640   

2022

104. Mwaffo V.* and Vernerey F.J., Analysis of Group of Fish Response to Startle Reaction, Journal of Nonlinear Science 32 (6), 96        

103. Xu L., Fu Y., Wagner R.J., Zou X., He Q., Li T., Pan W., Ding J. and Vernerey F.J.*, Thermosensitive P (AAc‐co‐NIPAm) Hydrogels Display Enhanced Toughness and Self‐Healing via Ion–Ligand Interactions, Macromolecular Rapid Communications 43 (19), 2200320, 3    

102. Wagner R.J., Dai J., Su X. and Vernerey F.J.*, A mesoscale model for the micromechanical study of gels, Journal of the Mechanics and Physics of Solids 167, 104982, 5    

101. Xu L., Wagner R.J., Liu S., He Q., Li T., Pan W., Feng Y., Feng H., Meng Q. and Vernerey F.J.*, Locomotion of an untethered, worm-inspired soft robot driven by a shape-memory alloy skeleton, Scientific Reports 12 (1), 12392

100. Wagner R.J and Vernerey F.J.*, Computational exploration of treadmilling and protrusion growth observed in fire ant rafts, PLoS Computational Biology 18 (2), e1009869

99. Vernerey F.J. Mechanics of transient semi-flexible networks: soft-elasticity, stress relaxation and remodeling (2022), Journal of the Mechanics and Physics of Solids, in press

 2021

98. Lamont S.C, Mulderrig J., Bouklas N., and Vernerey F.J., (2021) Rate-Dependent Damage Mechanics of Polymer Networks with Reversible Bond, Macromolecules, 54, 23, 10801–10813

97. Hui C.Y., Cui F., Zehnder A. and Vernerey F.J.*, (2021), Physically-motivated models of polymer networks with dynamic cross-links: comparative study and future outlook, Proceedings of the Royal Society A,

96. Lamont, S. and Vernerey F.J. (2021) A Transient Microsphere Model for nonlinear viscoelasticity in dynamic polymer networks, Journal of Applied Mechanics, In press

95. Vernerey F.J, Sridhar S.L., Muralidharan A, and Bryant S. (2021). Mechanics of 3D cell-hydrogel interactions: Experiments, mechanisms and models. Chemical Reviews (Invited paper). 

94. Wagner R.J., Hobbs E. and Vernerey F.J. (2021). A network model of transient polymers: Exploring the micromechanics of nonlinear viscoelasticity. Soft Matter.

93. Wagner R., Such K., Hobbs E. and Vernerey F.J. (2021). Treadmilling and dynamic protrusions in fire ant rafts. Journal of the Royal Society Interface.

• Media Spotlights: , , , ,

92. Barthold J.E., St. Martin B.M., Sridhar S.L., Vernerey F.J., Schneider S.E., Wacquez A., Ferguson V.L., Calve S., and Neu C.P. (2021). Recellularization and Integration of Dense Extracellular Matrix by Percolation of Tissue Microparticles. Advanced Functional Materials.

91. Shen T., Song Z., Cai S. and Vernerey F.J. (2021). Nonsteady fracture of transient networks: the case of vitrimer. PNAS. 

90. Song Z., Shen T., Vernerey F.J. and Cai S. (2021). Force-dependent bond dissociation explains the rate-dependent fracture of vitrimers. Soft Matter.

89. Ortega, J.K.E., Mohan R., Munoz C., Sridhar S.L. and Vernerey F.J. (2021). Phycomyces: Helical growth during the phototropic and avoidance responses, and in stiff mutants. Scientific Reports.

88. Sridhar, L.S., Dunagin, J., Koo, K., Hough L. and Vernerey, F.J. (2021). Enhanced diffusion by reversible binding to active polymers. Macromolecules.

87. Koo K., Sridhar, L.S., Clark N., Vernerey F.J., and Loren Hough (2021). Moving while you’re stuck: A macroscopic demonstration of an active system inspired by binding-mediated transport in biology. Soft Matter.

86. Vernerey, F. J. & Lamont, S. (2021). Transient mechanics of slide-ring networks, a continuum model. Journal of the Mechanics and Physics of Solids.

2020

85. Shen, T & Vernerey, F. J. (2020). Rate-dependent Fracture of Transient Networks. Journal of the Mechanics and Physics of Solids.

84. Brighenti, R, Li, Y, & Vernerey, F. J. (2020). Smart polymers for advanced applications: a mechanical perspective review. Frontiers in Materials. 

83. Sridhar, S & Vernerey, F. J. (2020). Mechanics of transiently crosslinked nematic networks. Journal of the Mechanics and Physics of Solids.

82.Schneider, M., Sridhar, S.L., Vernerey, F.J., Bryant, S. (2020). Spatiotemporal Neocartilage Growth in Matrix-Metalloproteinase-Sensitive Poly(Ethylene Glycol) Hydrogels Under Dynamic Compressive Loading: An Experimental and Computational Approach. Journal of Material Chemistry B.

81.  Vernerey, F. J., & Bryant, S. (2020). The role of Percolation in hydrogel-based tissue engineering and bioprinting. Current Opinion in Biomedical Engineering,

2019

80. Benet, E., & Vernerey, F. J. (2019). Dynamic competition of inflation and delamination in the finite deformation of thin membranes. Soft matter,

79. Shen, T., Kan, J., Benet, E., & Vernerey, F. J. (2019). On the blistering of thermo-sensitive hydrogel: the volume phase transition and mechanical instability. Soft Matter, .

78. White, Z., Shen, T., Volk, E. M., & Vernerey, F. J. (2019). The role of surface properties on the penetration resistance of scaled skins. Mechanics Research Communications, 98, 1-8. .

77. Benet, E., Zhu, H., & Vernerey, F. J. (2019). Interplay of elastic instabilities and viscoelasticity in the finite deformation of thin membranes. Physical Review E, 99(4), 042502. .

76. Shen, T., Benet, E., Sridhar, S. L., Abadie, J., Piat, E., & Vernerey, F. J. (2019). Separating the contributions of zona pellucida and cytoplasm in the viscoelastic response of human oocytes. Acta biomaterialia, 85, 253-262.
 

2018

75. Vernerey, F. J., E. Benet, L. Blue, A. K. Fajrial, S. Lalitha Sridhar, J. Lum, G. Shakya, K. H. Song, A. N. Thomas, and M. A. Borden, (2018). Biological active matter aggregates: Inspiration for smart colloidal materials. Advances in Colloid and Interface Science . .

74. Sridhar, S.L., Ortega, J. K. E., & Vernerey, F. J., (2018). A statistical model of expansive growth in plant and fungal cells: The case of Phycomyces. The Biophysical Journal. In Press.

73. Vernerey, F. J., Shen, T., Sridhar, S.L., & Wagner, R.J., (2018). How do fire ants control the rheology of their aggregations? -A statistical mechanics approach-. Journal of Royal Society Interface.  

72. Vernerey, F. J., Brighenti, R., Long, R., & Shen, T. (2018). Statistical Damage Mechanics of Polymer Networks. Macromolecules. . PDF

71. Shen, T., Long, R., & Vernerey, F. (2018). Computational modeling of the large deformation and flow of viscoelastic polymers. Computational Mechanics, 1-21. . PDF

​70. Sridhar, S.L., and Vernerey, F.J (2018), The Chain Distribution Tensor: Linking Nonlinear Rheology and Chain Anistropy in Transient Polymers. Polymers, 10(8), 848. . PDF

69. Brighenti, R., Menzel, A., & Vernerey, F. J. (2018). A physics-based micromechanical model for electroactive viscoelastic polymers. Journal of Intelligent Material Systems and Structures, 29(14), 2902-2918. . PDF

68. White, Z. W., & Vernerey, F. J. (2018). Armours for soft bodies: how far can bioinspiration take us?. Bioinspiration & biomimetics, 13(4), 041004. . PDF

67. Benet E., Lostec G., Pellegrino J. and Vernerey, F.J.* (2018), Mechanical instability and percolation of deformable particles through porous networks, Physical Review E. 97, 042607. . PDF

66. Vernerey, F. J. (2018). Transient response of nonlinear polymer networks: A kinetic theory. Journal of the Mechanics and Physics of Solids, 115, 230-247. . PDF

65.  Sridhar, S. L., & Vernerey, F. (2018). Localized Enzymatic Degradation of Polymers: Physics and Scaling Laws. Physical Review Applied, 9(3), 031001. . PDF

64.  Brighenti, R., Artoni, F., Vernerey, F., Torelli, M., Pedrini, A., Domenichelli, I., & Dalcanale, E. (2018). Mechanics of responsive polymers via conformationally switchable molecules. Journal of the Mechanics and Physics of Solids, 113, 65-81. .

2017 

 63. Shen, T.; Font, M, Jung, S.; Gabriel, M.; Stoykovich, M.; Vernerey, F.;  (2017),  Remotely Triggered Locomotion of Hydrogel Mag-bots in Confined Spaces,  Scientific Reports 7.1 (2017): 16178. .

62. Vernerey, F., & Shen, T. (2017). The mechanics of hydrogel crawlers in confined environment. Journal of The Royal Society Interface, 14(132), 20170242.  PDF

61.   Schneider, M. C., Chu, S., Sridhar, S. L., De Roucy, G., Vernerey, F. J., & Bryant, S. J. (2017). Local Heterogeneities Improve Matrix Connectivity in Degradable and Photoclickable Poly (ethylene glycol) Hydrogels for Applications in Tissue Engineering. ACS Biomaterials Science & Engineering, 3(10), 2480-2492.

60. Stefferson, M. W., Norris, S. L., Vernerey, F. J., Betterton, M. D., & Hough, L. E. (2017). Effects of soft interactions and bound mobility on diffusion in crowded environments: a model of sticky and slippery obstacles. Physical biology, 14(4), 045008.   .

59. Bryant, S. J., & Vernerey, F. J. (2018). Programmable hydrogels for cell encapsulation and neo‐tissue growth to enable personalized tissue engineering. Advanced healthcare materials, 7(1), 1700605. .

58. Vernerey, F. J., Long, R., & Brighenti, R. (2017). A statistically-based continuum theory for polymers with transient networks. Journal of the Mechanics and Physics of Solids, 107, 1-20. .

57. Sridhar, S. L., Schneider, M. C., Chu, S., de Roucy, G., Bryant, S. J., & Vernerey, F. J. (2017). Heterogeneity is key to hydrogel-based cartilage tissue regeneration. Soft matter, 13(28), 4841-4855. .

56. A. C. Sullivan, S. Lalitha Sridhar, A. Resman, D. J. Glugla, M. D. Alim, F.J Vernerey, R. R. McLeod (2017) Mechanical response of holographic photopolymers, Proc. SPIE 10233, Holography: Advances and Modern Trends V, 102330O; doi: 10.1117/12.2265878;  .

55.Brighenti, R., Vernerey, F. J., & Artoni, F. (2017). Rate-dependent failure mechanism of elastomers. International Journal of Mechanical Sciences, 130, 448-457.  .

54. Benet, E., Badran, A., Pellegrino, J., & Vernerey, F. (2017). The porous media's effect on the permeation of elastic (soft) particles. Journal of Membrane Science, 535, 10-19. .

53. Chu, S., Sridhar, S. L., Akalp, U., Skaalure, S. C., Vernerey, F. J., & Bryant, S. J. (2017). Understanding the Spatiotemporal Degradation Behavior of Aggrecanase-Sensitive Poly (ethylene glycol) Hydrogels for Use in Cartilage Tissue Engineering. Tissue Engineering Part A, 23(15-16), 795-810. .

52.   Shen, T., & Vernerey, F. (2017). Phoretic motion of soft vesicles and droplets: an XFEM/particle-based numerical solution. Computational mechanics, 60(1), 143-161. .

51. Akalp, U., Schnatwinkel, C., Stoykovich, M. P., Bryant, S. J., & Vernerey, F. J. (2017). Structural modeling of mechanosensitivity in non-muscle cells: multiscale approach to understand cell sensing. ACS biomaterials science & engineering, 3(11), 2934-2942. .
 

2016

 50. Benet, E., & Vernerey, F. J.* (2016). “Mechanics and stability of vesicles and droplets in confined spaces”, Physical Review E, 94(6), 062613.    .

49.  Brighenti, R.∗ and Vernerey, F. J.∗ (2016) A simple statistical approach to model the time dependent response of polymers with reversible cross-links, Composites Part B: Engineering, , 15 April 2017, Pages 257–265   .

48. Akalp U., Bryant S. and Vernerey, F. J.*  (2016) “Tuning Tissue Growth with Scaffold degradation in Enzyme-sensitive Hydrogels: a Mathematical Model”, Soft Matter, 12, 7505-7520     .

47. Vernerey, F. J.* and Akalp U. (2016) “Role of catch bonds in actomyosin mechanics and cell mechanosensitivity”, Physical Review E,94, 012403     .

46.  Musiket, K, Vernerey, F.J. and Xi Y. (2016) “Numeral Modeling of Fracture Failure of Recycled Aggregate Concrete Beams under High Loading Rates”, International Journal of Fracture, January 2017, Volume 203, , pp 263–276  .
 

2015

45. Foucard, L. and Vernerey, F. J.* (2016) “A Particle-based Moving Interface Method (PMIM) for modeling the large deformation of boundaries in soft matter systems.”, International Journal for Numerical Methods in Engineering, 107 (11), 923–946. 2015     .

44. Skaalure, S., Akalp, U., Vernerey, F. J.* and Bryant, S.* (2015) “Tuning Reaction and Diffusion Mediated Degradation of Enzyme-Sensitive Hydrogels”, Advanced Healthcare Materials. 5: 432–438.   .

43.  Vernerey, F. J.* (2016) “A Mixture Approach to Investigate Interstitial Growth in Engineering Scaffolds”, Biomechanics and Modeling in Mechanobiology, 15(2):259-78    .

42.  Akalp, U., Chu, S., Skaalure, S., Bryant, S.J., Doostan, A. and Vernerey, F. J.* (2015) “Determination of the Polymer-Solvent Interaction Parameter for PEG Hydrogels in Water: Application of a Self Learning Algorithm”, Polymer., Volume 66, 1 June 2015, Pages 135147     .

41. Funk, N., Vera, M., Szewciw, L., Barthelat, F., Stoykovich*, M., and Vernerey, F. J*. (2015), Bio-inspired fabrication and characterization of a synthetic fish skin for soft materials protection, ACS Applied Materials and Interfaces, 7 (10), pp 5972–5983    .
Highlighted in Science: p 1434 in vol 347 issue 6229 (27 MARCH 2015)

40. Foucard, L., Aryal A., Duddu*, R. and Vernerey F. J.*(2015), A coupled Eulerian-Lagrangian extended finite element formulation for simulating large deformations in hyperelastic media with moving free boundaries. Computer Methods in Applied Mechanics and Engineering, Volume 283, 1 January 2015, Pages 280–302  .
 

2014

39.  Foucard, L. and Vernerey, F. J.* (2014) An X-FEM numerical asymptotic expansion for simulating a Stokes flow near a sharp corner, International Journal of Numerical Methods in Engineering, 102, 79–98.  .

38. Foucard, L. and Vernerey, F. J.* (2014) Particle-based Moving Interface Method for the study of the interaction between soft colloid particles and immersed fibrous network, Computer Modeling in Engineering and Science, 98(1), pp 101-127.  .

37. Vernerey, F. J.* and Kabiri, M (2014) Adaptive Concurrent Multiscale Model for Fracture and Crack Propagation in Heterogeneous Media, Computer Methods in Applied Mechanics and Engineering, 276, pp 566-588.  .

36. Vernerey, F.J.*, and Barthelat, F. (2014)  Skin and scales of teleost fish: simple structure but high performance and multiple functions, Journal of the Mechanics and Physics of Solids, 68, pp 66-76.  .

35. Vernerey, F.J.∗ (2014). A Microstructure-based Continuum Model for Multiphase Solids, Mechanics of Advanced Materials and Structures, 21(6), 441-456  .
 

2013

34. Vernerey, F. J.*, Musiket K. and Barthelat, F. (2013) Mechanics of Fish skin: A computational approach for bio-inspired flexible composites, International Journal of Solids and Structures, 51 (1), pp 274-283  .

33. Zhu, D., Barthelat, F. and Vernerey, F.J.∗ (2013). The intricate multiscale mechanical response of natural fish-scale composites, Handbook of Micromechanics and Nanomechanics, Pan Stanford Publishing Co.     .

32. Liang, Y.C, Ye, Z. Vernerey, F.J. and Xi, Y. (2013) Development of Processing Methods to Improve Strength of Concrete with 100% Recycled Coarse Aggregate, Journal of the Materials in Civil Engineering, 10.1061/(ASCE)MT.1943-5533.0000909  .

31. Zhu, D., Szewciw, L. Vernerey, F.J. and Barthelat, F. (2013) Puncture resistance of the scaled skin from striped bass: collective mechanisms and inspiration for new flexible armor designs, Journal of the Mechanical Behavior of Biomedical Materials, 24, pp 30–40.  .  

30. Dhote, V. and Vernerey, F.J.∗ (2013). Mathematical model of the role of degradation on matrix development in hydrogel scaffold, Biomechanics and Modeling in Mechanobiology, doi 10.1007/s10237-013-0493-0     .

29. Vernerey, F.J.∗ and Farsad, M. (2013). A mathematical model of the coupled mechanisms of cell adhesion, contraction and spreading, Journal of Mathematical Biology, doi 10.1007/s00285-013-0656-8  .

28.  Kabiri, M. and Vernerey, F. J.∗ (2013). “An XFEM based multiscale approach to fracture of heterogeneous media, International Journal of Multiscale Computational Engineering, DOI: 10.1615/IntJMultCompEng.2013005569.     .

27.  Foucard, L., Espinet, X. Benet, E. M. and Vernerey, F. J. ∗(2013). The role of the cortical membrane in cell mechanics: model and simulation, Multiscale Simulations and Mechanics of Biological Materials, Wiley, DOI: 10.1002/9781118402955. ch13.     .

2012

26.  Dhote, V., Skaalure, S. Akalp, U., Robert, J., Bryant, S. and Vernerey, F.J.∗ (2012). On the role of hydrogel structure and degradation in controlling the transport of cell-secreted matrix molecules for engineered cartilage, Journal of the Mechanical Behavior of Biomedical Materials, doi: 10.1016/j.jmbbm.2012.10.016  .

25. Vernerey, F.J. Preface, Multiscale Modeling of inelastic and localization behavior in heterogeneous media, International Journal for Multiscale Computational Engineering 10 (5)     .

24.  Vernerey, F.J.∗ and Kabiri, M. (2012). An adaptive concurrent multiscale method for microstructured elastic solids, Computer Methods in Applied Mechanics and Engineering, 241-244, pp. 52-64  .

23. Farsad, M. and Vernerey, F.J.∗ (2012). An XFEM-based numerical strategy to model mechanical interactions between biological cells and a deformable substrate, International Journal of Numerical Methods in Engineering, 92,(3), pp 238-267     .

22. Foucard, L. and Vernerey, F.J.∗ (2012). On the dynamics of Stress Fibers turnover in contractile cells, Journal of Engineering Mechanics, v138(10), pp 1282-1287  .

21. Vernerey, F.J.∗ (2012). The effective permeability of cracks and interfaces in porous media, Transport in Porous Media, 93,(3), pp815-829  .

20. Foucard, L. and Vernerey, F.J.∗ (2012). A thermodynamical model for stress-fiber organization in contractile cells, Applied Physics Letters, 100(1), 013702 1-4.  .

19. Vernerey, F. J.∗, Chevalier, T. (2012). A multiscale micro-continuum model to capture strain localization in composite materials, International Journal of Multiscale Computational Engineering, 10(5), 487-501     .
 

2011

18.  Vernerey, F.J.∗ (2011). A theoretical treatment on the mechanics of interfaces in deformable porous media, International Journal of Solids and Structures, 48(22-23), 3129-3141  .

17.  Zhu, D, Ortega, C, Motamedi, R, Szewciw, L, Vernerey, F.J. and Barthelat, F. (2011). Structure and mechanical performance of a modern fish scale, Advanced Biomaterials, 14(4), B185-B194     .

16.  Vernerey, F.J.∗ , Foucard, L. and Farsad, M. (2011). Bridging the scales to explore cellular adaptation and remodeling, BionanoScience, 1(3),110-115     .

15. Vernerey, F.J.∗ and Farsad, M. (2011). A Constrained Mixture Approach to Mechano- Sensing and Force Generation in Contractile Cells, Journal of the Mechanical Behavior of Biomedical Materials, 4(8), 1683-1699  .

14.  Vernerey, F.J.∗, Greenwald, E. and Bryant, S. (2011). Triphasic mixture model of cell- mediated enzymatic degradation of hydrogels, Computer Methods in Biomechanics and Biomedical Engineering, 15(11), 1197-1210  .

13. Vernerey, F.J.∗ (2011), On the application of multiphasic theories to the problem of cell-substrate mechanical interactions, Advances in Cell Mechanics, Springer, Li, Shaofan; Sun, Bohua (Eds.), 27-54  .

12. Vernerey, F.J.∗, Pak, R. (2011). Analysis of Soft Fibers with Kinematic Constraints and Cross-links by Large Deformation Beam Theory, Journal of Engineering Mechanics, 137, pp 527-536.  .

11. Vernerey, F.J.∗ and Farsad, M. (2011), An Eulerian/XFEM formulation for the large deformation of cortical cell membrane, Computer Methods in Biomechanics and Biomedical Engineering, 14(5),433-45.  .
 

2010

10. Vernerey, F. J.∗ and Bartelat, F. (2010). On the Mechanics of Fish-Scale Structures. International Journal of Solids and Structures, 47(17), 2268-2275.  .

9. Farsad, M., Vernerey, F. J.∗, and Park, H. S. (2010). An Extended Finite Element/Level Set Method to Study Surface effects on the Mechanical Behavior and Properties of Nanoma- terials. International Journal of Numerical Methods in Engineering, 84(12),1466-1489.  .

8. Vernerey, F. J.∗ and Moran, B. (2010). A nonlinear, large deformation finite element beam/column formulation for the study of the human spine: investigation of the role of muscle in spine stability. Journal of Engineering Mechanics, 136(11), 1319-1328.  .
 

2009 & before

7. Vernerey, F. J.∗, Liu, W. K., Moran, B., Olson, G. B. (2009). Multi-length Scale Micromorphic Process Zone Model. Computational Mechanics, 44, 433-445.  .

6. Vernerey, F. J.∗, Liu, W. K., Moran, B., and Olson, G. B. (2008). A Micromorphic Model for the Multiple Scale Failure of Heterogeneous Materials. Journal of the Mechanics and Physics of Solids, 56(4), 1320-1347  .

5. Vernerey, F. J.∗, Liu, W. K., and Moran, B. (2007). Multi-Scale Micromorphic Theory for Hierarchical Materials. Journal of the Mechanics and Physics of Solids, 55(12), 2603-2651.  .

4. Vernerey, F. J.∗, McVeigh, C., Liu, W. K., Moran, B., Tewari, D., Parks, D., and Olson, G. (2006). The 3D Computational Modeling of Shear Dominated Ductile Failure of Steel. JOM, The Journal of The Minerals, Metals and Materials Society, 58(12), 45-51.  .

3. McVeigh, C., Vernerey, F. J., Liu, W. K., Moran, B., and Olson, G. B. (2006). An Interactive Microvoid Shear Localization Mechanism in High Strength Steels. Journal of the Mechanics and Physics of Solids, 55(2),225-244.  .

2. McVeigh, C., Vernerey, F. J., Liu, W. K., and Brinson, C. (2006). Multiresolution Analysis for Material Design. Computer Methods in Applied Mechanics and Engineering, 195(37-40), 5053-5076.   .

1.  Hao, S., Liu, W. K., Moran, B., Vernerey, F. J., and Olson, G. B. (2004). Multi-scale Constitutive Model and Computational Framework for the Design of Ultra-high Strength”. Computer Methods in Applied Mechanics and Engineering, 193, 1865.  .