Francesco Costanzo Professional Site

Francesco Costanzo, Ph.D.

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Publications

Professor Costanzo has authored and co-authored numerous books, papers, and other publications throughout his career. Please visit the links below to explore his work:

  1. Refereed Papers
  2. Books & Parts of Books
  3. Conference Presentations
  4. Conference Proceedings

Refereed Papers

  1. Mao, Z. M., P. Li, M. X. Wu, H. Bachman, N. Mesyngier, X. S. Guo, F. Liu, F. Costanzo, and T. J. Huang (2017), “Enriching Nanoparticles via Acoustofluidics”, ACS Nano, 11(1) , pp. 603–612. DOI: 10.1021/acsnano.6b06784; PMID: 28068078.
  2.  Costanzo F. and S. T. Miller (2017), “An Arbitrary Lagrangian?Eulerian Finite Element Formulation for a Poroelasticity Problem Stemming from Mixture Theory”, Computer Methods in Applied Mechanics and Engineering, 323, pp. 64–97, DOI: 10.1016/j.cma.2017.05.006.
  3. Nama, N., T. J. Huang, and F. Costanzo (2017), “Acoustic Streaming: A Lagrangian–Eulerian Perspective”, Journal of Fluid Mechanics, 825, pp. 600–630, /DOI: 10.1017/jfm.2017.338.
  4. Nama, N., P.-H. Huang, T. J. Huang, and F. Costanzo (2016), “Investigation of Micromixing by Acoustically Oscillated Sharp-edges”, Biomicrofluidics, 10(2), pp. 024124-1– 024124-17. DOI: 10.1063/1.4946875; PMID: 27158292; PMCID: PMC4833753.
  5. Xie, Y., N. Nama, P. Li, Z. Mao, P.-H. Huang, C. Zhao, F. Costanzo, and T. J. Huang (2016), “Probing Cell Deformability via Acoustically Actuated Bubbles”, Small, 12(7), pp. 902–910, DOI: 10.1002/smll.201502220; PMID: 26715211.
  6. 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.
  7. Mao, Z., F. Guo, Y. Xie, Z. Yanhui, M. I. Lapsley, J. D. H. Mai, F. Costanzo, and T. J. Huang (2015), “Label-Free Measurements of Reaction Kinetics using a Droplet-Based Optofluidic Device”, Journal of Laboratory Automation, 20(1), pp. 17–24, First published online September 23, 2014. DOI: 10.1177/2211068214549625; PMID: 25249275.
  8. 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.
  9. Roy, S., L. Heltai, and F. Costanzo (2015), “Benchmarking the Immersed Finite Element Method for Fluid-Structure Interaction Problems”, Computers and Mathematics with Applications, 69(10), pp. 1167–1188. DOI: 10.1016/j.camwa.2015.03.012
  10. Costanzo, F. and J. G. Brasseur (2015), “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, 32(1), pp. 1–37, advance access publication on September 25, 2013. DOI: 10.1093/imammb/dqt020; PMID: 24071531.
  11. 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.
  12. 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 Software, 2(1), pp. 1–17.
  13. Nama, N., P.-H. Huang, T. J. Huang, and F. Costanzo (2014), “Investigation of Acoustic Streaming Patterns around Oscillating Sharp Edges”, Lab on a Chip, 14(15), pp. 2824– 2836. DOI: 10.1039/c4lc00191e; PMID: 24903475; PMCID: PMC4096312.
  14. 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.
  15. 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.
  16. 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, DOI: 10.1016/j.cma.2012.04.001.
  17. 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.
  18. Miller, S. T. and F. Costanzo (2009) “A Numerical Verification for an Unconditionally Stable FEM for Elastodynamics”, Computational Mechanics, 43(2), pp. 223–237, DOI: 10.1007/s00466-008-0298-7.
  19. Pitt, J. S. and F. Costanzo (2009) “An Adaptive h-Refinement Algorithm for Local Damage Models”, Algorithm, 2(4), pp. 1281–1300, /DOI: 10.3390/a2041281—www.mdpi.com/journal/algorithms.
  20. Khalmanova, D. K. and F. Costanzo (2008) “A Space-Time Discontinuous Galerkin Finite 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, DOI: 10.1016/j.cma.2007.11.005.
  21. Randow, C. L., G. L. Gray, and F. Costanzo (2006) “A Directed Continuum Model of Micro- and Nano-scale Thin Films”, International Journal of Solids and Structures, 43(5), pp. 1253–1275, DOI: 10.1016/j.ijsolstr.2005.03.064.
  22. 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 Simulation in Materials Science and Engineering, 14(4), pp. 741–757, DOI: 10.1088/0965- 0393/14/4/015.
  23. 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, DOI: 10.1016/j.ijsolstr.2005.05.027
  24. 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, DOI: 10.1016/j.ijengsci.2004.12.002.
  25. 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, DOI: 10.1016/j.cma.2004.07.011.
  26. Song, J. H., F. Costanzo, and B. L. Lee (2004) “Fatigue of Cord-Rubber Composites: V. Cord Reinforcement Effect”, Rubber Chemistry and Technology, 77(4), pp. 593–610, DOI: 10.5254/1.3547839.
  27. 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, DOI: 10.1088/0965-0393/12/4/S04.
  28. 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, DOI: 10.1023/B:FRAC.0000035071.30893.bb.
  29. 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.
  30. 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.

  31. 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, DOI: 10.1016/S0022-5096(01)00139-9.

  32. 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, DOI: 10.1016/S0045-7825(02)00460-7.

  33. 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, DOI: 10.1061/(ASCE)0733-9399(2001)127:7(661).

  34. 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, DOI: 10.1016/S0020-7683(00)00229-8.

  35. Costanzo, F. (2001) “An Analysis of 3D Crack Propagation Using Cohesive Zone Models and the Theory of Configurational Forces”, Mathematics and Mechanics of Solids, 6(2), pp. 149–173, DOI: 10.1177/108128650100600203.

  36. 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(24), pp. 3375–3398, DOI: 10.1016/S0020-7683(99)00150-X.

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

  38. 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, DOI: 10.1106/DAM0-VTAY-8PVA-G0B1.

  39. 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.

  40. Costanzo, F. and J. R. Walton (1998) “Numerical Simulations of a Dynamically Propagating Crack with a Nonlinear Cohesive Zone”, International Journal of Fracture, 91(4), pp. 373–389, DOI: 10.1023/A:1007494031596.

  41. Costanzo, F. (1998) “A Continuum Theory of Cohesive Zone Models: Deformation and Constitutive Equations”, International Journal of Engineering Science, 36(15), pp. 1763– 1792, DOI: 10.1016/S0020-7225(98)00025-1.

  42. 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(1–4), pp. 19–48, DOI: 10.1016/S0045- 7825(97)00328-9.

  43. 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(12–13), pp. 1085–1114, DOI: 10.1016/S0020-7225(97)00030-X.

  44. Costanzo, F., J. G. Boyd, and D. H. Allen (1996) “Micromechanics and Homogenization of Inelastic Composites Materials with Growing Cracks”, Journal of the Mechanics and Physics of Solids, 44(3), pp. 333–370, DOI: 10.1016/0022-5096(95)00082-8.

  45. Costanzo, F. and D. H. Allen (1995) “A Continuum Thermodynamic Analysis of Cohesive Zone Models”, International Journal of Engineering Science, 33(15), pp. 2197–2219, DOI: 10.1016/0020-7225(95)00066-7.

  46. Costanzo, F. and D. H. Allen (1993) “A Continuum Mechanics Approach to Some Problems in Subcritical Crack Propagation”, International Journal of Fracture, 63(1), pp. 27–57, DOI: 10.1007/BF00053315.

  47. Boyd, J. G., F. Costanzo, and D. H. Allen (1993) “A Micromechanics Approach for Constructing Locally Averaged Damage Dependent Constitutive Equations in Inelastic Composites”, International Journal of Damage Mechanics, 2(3), pp. 209–228,
    DOI: 10.1177/105678959300200303.

  48. 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.), 162, The American Society of Mechanical Engineers (ASME), pp. 137–150. 

Detail of the immersed mesh motion for the FSI 2 Hron & Turek fluid-structure interaction benchmark. Calculation made using the immersed finite element method.

Calculation from S. Roy, L. Heltai, and F. Costanzo, "Benchmarking the immersed finite element method for fluid- structure interaction problems," Computer and Mathematics with Applications, 69 (2015), pp. 1167–1188. DOI: 10.1016/j.camwa.2015.03.012.  

The the details of numerical foundations of method are in L. Heltai and F. Costanzo, "Variational implementation of immersed finite element methods," Computer Methods in Applied Mechanics and Engineering, 229–232 (2012), pp. 110–127. DOI: 10.1016/j.cma.2012.04.001.

 


Office Location

Francesco Costanzo, Ph.D.
Center for Neural Engineering
W-315 Millenium Science Complex
The Pennsylvania State University
University Park, PA 16802

 
 

Contact

Phone: 1-814-863-2030
Fax: 1-814-865-9974
Email: fmcostanzo@psu.edu

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