Refereed Papers

  1. Boyd, J. G., F. Costanzo, and D. H. Allen (1993) “A Micromechanics Approach for Constructing Locally Averaged Damage Dependent Constitutive Equations in Inelastic Com- posites,” International Journal of Damage Mechanics, 2, pp. 209–228.

  2. Costanzo, F. and D. H. Allen (1993) “A Continuum Mechanics Approach to Some Prob- lems in Subcritical Crack Propagation,” International Journal of Fracture, 63, pp. 27–57.

  3. Lo, D. C., F. Costanzo, M. A. Zocher, and D. H. Allen (1993) “Modeling of Damage Evolution in Thick Laminates Subjected to Low Velocity Impact,” in Mechanics of Thick Composites (Y. D. S. Rajapakse, ed.), vol. 162, The American Society of Mechanical Engi- neers, pp. 137–150.

  4. Costanzo, F. and D. H. Allen (1995) “A Continuum Thermodynamic Analysis of Cohesive Zone Models,” International Journal of Engineering Science, 33, pp. 2197–2219.

  5. Costanzo, F., J. G. Boyd, and D. H. Allen (1996) “Micromechanics and Homogeniza- tion of Inelastic Composites Materials with Growing Cracks,” Journal of the Mechanics and Physics of Solids, 44, pp. 333–370.

  6. Costanzo, F. and J. R. Walton (1997) “A Study of Dynamic Crack Growth in Elastic Materials Using a Cohesive Zone Model,” International Journal of Engineering Science, 35, pp. 1085–1114.

  7. Costanzo, F. and J. R. Walton (1998) “Numerical Simulations of a Dynamically Propa- gating Crack with a Nonlinear Cohesive Zone,” International Journal of Fracture, 91, pp. 373– 389.

  8. Costanzo, F. (1998) “A Continuum Theory of Cohesive Zone Models: Deformation and Constitutive Equations,” International Journal of Engineering Science, 36, pp. 1763–1792.

  9. Costanzo, F. and J. R. Walton (1998) “A Numerical Solution Technique for a Class of Integro-Differential Equations in Elastodynamic Crack Propagation Problems,” Computer Methods in Applied Mechanics and Engineering, 162, pp. 19–48.

  10. Gray, G. L. and F. Costanzo (1999) “The Interactive Classroom and its Integration into the Mechanics Curriculum,” International Journal of Engineering Education, 15(1), pp. 41– 50.

  11. Costanzo, F. and G. L. Gray (2000) “On the Implementation of Interactive Dynamics,” International Journal of Engineering Education, 16(5), pp. 385–393.

  12. Caiazzo, A. A. and F. Costanzo (2000) “On the Effective Elastic Properties of Composites with Evolving Microcracking,” Journal of Reinforced Plastics and Composites, 19, pp. 152– 163.

  13. Caiazzo, A. A. and F. Costanzo (2000) “On the Constitutive Relations of Materials with Evolving Microstructure due to Microcracking,” International Journal of Solids and Structures, 37, pp. 3375–3398.

  14. Costanzo, F. (2001) “An Analysis of 3D Crack Propagation Using Cohesive Zone Mod- els and the Theory of Configurational Forces,” Mathematics and Mechanics of Solids, 6(2), pp. 149–173.

  15. Caiazzo, A. A. and F. Costanzo (2001) “Effective 3D Constitutive Relations of Composites with Evolving Damage,” Journal of Engineering Mechanics, 127(7), pp. 661–666.

  16. Caiazzo, A. A. and F. Costanzo (2001) “Modeling the Constitutive Behavior of Layered Composites with Evolving Cracks,” International Journal of Solids and Structures, 38(20), pp. 3469–3485.

  17. Costanzo, F. and J. R. Walton (2002) “Steady Growth of a Crack with a Temperature Sensitive Cohesive Zone,” Journal of the Mechanics and Physics of Solids, 50, pp. 1649–1679.

  18. Huang, H. and F. Costanzo (2002) “On the Use of Space-Time Finite Elements in the Solution of Elasto-Dynamic Problems with Strain Discontinuities,” Computer Methods in Applied Mechanics and Engineering, 191(46), pp. 5315–5343.

  19. Costanzo, F. and G. L. Gray (2003) “Creating Labeled Stand-Alone Figures in LATEX using WARMreader and Adobe Illustrator under Mac OS X,” TUGboat, 24(1), pp. 39–49, issue of the TUGboat journal containing the proceedings of the Twenty-fourth Annual Meeting of the TEX users group, Waikiloa, Hawai‘i, July 20–24, 2003.

  20. Gray, G. L. and F. Costanzo (2003) “Experiences and Lessons Learned Teaching LATEX to University Students,” TUGboat, 24(1), pp. 124–131, issue of the TUGboat journal containing the proceedings of the Twenty-fourth Annual Meeting of the TEX users group, Waikiloa, Hawai‘i, July 20–24, 2003.

  21. Costanzo, F., G. L. Gray, and P. C. Andia (2004) “On the Notion of Average Mechanical Properties in MD Simulation via Homogenization,” Modelling and Simulation in Materials Science and Engineering, 12, pp. S333–S345.

  22. Huang, H. and F. Costanzo (2004) “On the Use of Space-time Finite Elements in the Solution of Elasto-Dynamic Fracture Problems,” International Journal of Fracture, 127(2), pp. 119–146.

  23. Song, J. H., F. Costanzo, and B. L. Lee (2004) “Fatigue of Cord-Rubber Composites: Cord Reinforcement Effect,” Rubber Chemistry and Technology, 77(4), pp. 593–610.

  24. Costanzo, F. and H. Huang (2005) “Proof of Unconditional Stability for a Single-Field Discontinuous Galerkin Finite Element Formulation for Linear Elasto-Dynamics,” Computer Methods in Applied Mechanics and Engineering, 194(18–20), pp. 2059–2076.

  25. Costanzo, F., G. L. Gray, and P. C. Andia (2005) “On the Definitions of Effective Stress and Deformation Gradient for Use in MD: Hill’s Macro-Homogeneity and the Virial Theorem,” International Journal of Engineering Science, 43(7), pp. 533–555.

  26. Randow, C. L., G. L. Gray, and F. Costanzo (2005) “A Directed Continuum Model of Micro- and Nano-scale Thin Films,” International Journal of Solids and Structures, 43(5), pp. 1253–1275.

  27. Andia, P. C., F. Costanzo, and G. L. Gray (2005) “A Lagrangian-Based Continuum Homogenization Approach Applicable to Molecular Dynamics Simulations,” International Journal of Solids and Structures, 42(24–25), pp. 6409–6432.

  28. Andia, P. C., F. Costanzo, and G. L. Gray (2006) “A Classical Mechanics Approach to the Determination of the Stress-Strain Response of Particle Systems”, Modelling and Simu- lation in Materials Science and Engineering, 14, pp. 741–757.

  29. Khalmanova, D. K. and F. Costanzo (2008) “A Space-Time Discontinuous Galerkin Fi- nite Element Method for Fully Coupled Linear Thermo-Elasto-Dynamic Problems with Strain and Heat Flux Discontinuities”, Computer Methods in Applied Mechanics and Engineering, 197(13–16), pp. 1323–1342.

  30. Miller, S. T. and F. Costanzo (2009) “A Numerical Verification for an Uncondition- ally Stable FEM for Elastodynamics”, Computational Mechanics, 43(2), pp. 223–237, (first published on-line in 27 May 2008).

  31. Pitt, J. S. and F. Costanzo (2009) “An Adaptive h-Refinement Algorithm for Local Dam- age Models”, Algorithm, 2(4), pp. 1281–1300.

  32. Litzinger, T., P. Van Meter, C. M. Firetto, L. J. Passmore, C. B. Masters, S. R. Turns, G. L. Gray, F. Costanzo, and S. E. Zappe (2010), “A Cognitive Study of Problem Solving in Statics”, Journal of Engineering Education, 9(4), pp. 337–353.

  33. Heltai, L. and F. Costanzo (2012), “Variational Implementation of Immersed Finite Element Methods”, Computer Methods in Applied Mechanics and Engineering, 229–232, pp. 110–127.

  34. Costanzo, F. and J. G. Brasseur (2013), “The Invalidity of the Laplace Law for Biological Vessels and of Estimating Elastic Modulus from Total Stress vs. Strain: a New Practical Method”, Mathematical Medicine & Biology, first published online: September 25, 2013, DOI: 10.1093/imammb/dqt020.

  35. Ding, X., P. Li, S.-C. S. Lin, Z. S. Stratton, N. Nama, F. Guo, D. Slotcavage, X. Mao, J. Shi, F. Costanzo, and T. J. Huang (2013), “Surface Acoustic Wave Microflu- idics”, Lab on a Chip, 13, pp. 3626–3649. DOI: 10.1039/C3LC50361E.

  36. Chindam, C., N. Nama, M. I. Lapsley, F. Costanzo, and T. J. Huang (2013), “Theory and Experiment on Resonant Frequencies of Liquid-Air Interfaces Trapped in Microfluidic Devices”, Journal of Applied Physics, 114, pp. 194503-1–194503-7. DOI: 10.1063/1.4827425; PMID: 24343156; PMCID: PMC3855064.

  37. Heltai, L., S. Roy and F. Costanzo (2014), “A Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Library”, Archive for Numerical Soft- ware, 2(1), pp. 1–17.

  38. Mao, Z., F. Guo, Y. Xie, Z. Yanhui, M. I. Lapsley, J. D. H. Mai, F. Costanzo, and T. J. Huang (2014), “Label-Free Measurements of Reaction Kinetics using a Droplet-Based Optofluidic Device”, Lab on a Chip, 20(1), pp. 17–24. DOI: 10.1177/2211068214549625; PMID: 25249275.

  39. Nama, N., P.-H. Huang, T. J. Huang, and F. Costanzo (2014), “Investigation of Acous- tic Streaming Patterns around Oscillating Sharp Edges”, Lab on a Chip, 14(15), pp. 2824– 2836. DOI: 10.1039/c4lc00191e; PMID: 24903475; PMCID: PMC4096312.

  40. Roy, S., L. Heltai, and F. Costanzo (2015), “Benchmarking the Immersed Finite Ele- ment Method for Fluid-Structure Interaction Problems”, Computers and Mathematics with Applications, 69(10), pp. 1167–1188. DOI: 10.1016/j.camwa.2015.03.012

  41. Nama, N., R. Barnkob, Z. Mao, C. J. Kähler, F. Costanzo, and T. J. Huang (2015), “Numerical Study of Acoustophoretic Motion of Particles in a PDMS Microchannel Driven by Surface Acoustic Waves”, Lab on a Chip, 15(12):2700–2709. DOI: 10.1039/C5LC00231A; PMID: 26001199.

  42. Xie, Y., C. Chindam, N. Nama, S. Yang, M. Lu, Y. Zhao, J. D. Mai, F. Costanzo, and T. J. Huang (2015), “Exploring Bubble Oscillation and Mass Transfer Enhancement in Acoustic-Assisted Liquid-Liquid Extraction with a Microfluidic Device”, Scientific Reports, 5, pp. 12572-1–12572-9. DOI: 10.1038/srep12572; PMID: 26223474; PMCID: PMC4519785. http://www.nature.com/articles/srep12572.

  43. Xie, Y., N. Nama, P. Li, Z. Mao, P.-H. Huang, C. Zhao, F. Costanzo, & T. J. Huang (2015), “Probing Cell Deformability via Acoustically Actuated Bubbles”, Small. Epub ahead of print, 9 pages: DOI: 10.1002/smll.201502220; PMID: 26715211. http://dx.doi.org/10. 1002/smll.201502220.

  44. Mao, Z., Y. Xie, F. Guo, L. Ren, P.-H. Huang, Y. Chen, J. Rufo, F. Costanzo, and T. J. Huang. (2016), “Experimental and Numerical Studies on Standing Surface Acoustic Wave Microfluidics”, Lab on a Chip, 16(3), pp. 515–524. DOI: 10.1039/c5lc00707k; PMID: 26698361.