2D Gel Network

A mesoscale model for the micromechanical study of gels

Abstract Gels are comprised of polymer networks swelled by some interstitial solvent. They are under... Read more
Rate dependent damage

Rate-Dependent Damage Mechanics of Polymer Networks with Reversible Bonds

Brief Description In this work, we develop a statistical theory of damage for transient networks... Read more
Ant Raft Treadmilling

Computational exploration of treadmilling and protrusion growth observed in fire ant rafts

Brief Description Cooperative behavior in organisms often permits groups to achieve collective tasks that are... Read more

Publications

2023


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

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

106. Crespo-Cuevas V.,Ferguson 听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听 听

2022


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

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鈥恈o鈥怤IPAm) Hydrogels Display Enhanced Toughness and Self鈥怘ealing via Ion鈥揕igand Interactions, Macromolecular Rapid Communications 43 (19), 2200320, 3听听 听

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听听 听

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

听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鈥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.听(2021)听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.听Chemical Reviews (Invited paper).听

94. Wagner R.J., Hobbs E. and Vernerey F.J.听(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.听Journal of the Royal Society Interface.

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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.,听Cai S. and Vernerey F.J. (2021).听Nonsteady fracture of transient networks: the case of vitrimer.听PNAS.听

90. Song Z., Shen T., Vernerey F.J.听and Cai S. (2021).听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.听Scientific Reports.

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

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

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

2020


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

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

83. Sridhar, S听& 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).听Spatiotemporal Neocartilage Growth in Matrix-Metalloproteinase-Sensitive Poly(Ethylene Glycol) Hydrogels Under Dynamic Compressive Loading: An Experimental and Computational Approach.听Journal of Material Chemistry B.

81.听听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.听Soft Matter, .

78.听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,听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.听Physical Review E,听99(4), 042502. .

76.听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,听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).听Biological active matter aggregates: Inspiration for smart colloidal materials.听Advances in Colloid and Interface Science听. .

74. Sridhar, S.L., Ortega, J. K. E.,听& 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.,听Sridhar, S.L., & Wagner, R.J., (2018).听How do fire ants control the rheology of their aggregations? -A statistical mechanics approach-. Journal of Royal Society Interface.

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

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

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

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

68. White, Z. W., & Vernerey, F. J. (2018). Armours for soft bodies: how far can bioinspiration take us?.听Bioinspiration & biomimetics,听13(4), 041004.听. 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.听Journal of the Mechanics and Physics of Solids,听115, 230-247. .听PDF

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

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

2017听


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

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

61. 听 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,听3(10), 2480-2492. PDF

60.听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,听14(4), 045008. 听听. PDF

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

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,听107, 1-20.听. PDF

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,听13(28), 4841-4855.听. PDF

56.听A. C. Sullivan, S. Lalitha Sridhar, A. Resman, D. J. Glugla, M. D. Alim,听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; 听. PDF

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

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,听535, 10-19.听. PDF

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,听23(15-16), 795-810.听. PDF

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

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.听ACS biomaterials science & engineering,听3(11), 2934-2942.听. PDF

2016


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

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

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

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

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

2015


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

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

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

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

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

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

2014


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

38.听Foucard, L. and Vernerey, F. J.* (2014)听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. 听. PDF

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

36. Vernerey, F.J.*, and Barthelat, F. (2014) 听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. 听. PDF

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

2013


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

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

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

31. Zhu, D., Szewciw, L. Vernerey, F.J. and Barthelat, F. (2013)听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,听24, pp 30鈥40. 听. PDF

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

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

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

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

2012


26. 听Dhote, V., Skaalure, S. Akalp, U., Robert, J., Bryant, S. and Vernerey, F.J.鈭 (2012).听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 听. PDF

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

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

23. Farsad, M. and Vernerey, F.J.鈭 (2012).听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 听 听听. PDF

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

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

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

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

2011


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

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

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

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

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

13. Vernerey, F.J.鈭 (2011),听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 听. PDF

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

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

2010


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

9. Farsad, M., Vernerey, F. J.鈭, and Park, H. S. (2010).听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. 听. PDF

8. Vernerey, F. J.鈭 and Moran, B. (2010).听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. 听. PDF

2009 & before


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

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

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

4. Vernerey, F. J.鈭, McVeigh, C., Liu, W. K., Moran, B., Tewari, D., Parks, D., and Olson, G. (2006).听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. 听. PDF

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

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

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