Publications

Here is a list of publications I have published or contributed to publish:

• Costanzo, F. and D. H. Allen (1993). "A Continuum Mechanics Approach to Some Problems in Subcritical Crack Propagation." International Journal of Fracture, Vol. 63, pp. 27–57.


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


• 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, Vol. 44, pp. 333–370.


• 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, Vol. 35, pp. 1085–1114.


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


• 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, Vol. 162, pp. 19–48.


• Costanzo, F. and J. R. Walton (1998). "Numerical Simulations of a Dynamically Propagating Crack with a Nonlinear Cohesive Zone." International Journal of Fracture, Vol. 91, pp. 373–389.


• Gray, G. L. and F. Costanzo (1999). "The Interactive Classroom and its Integration into the Mechanics Curriculum." International Journal of Engineering Education, Vol. 15, No. 1, pp. 41–50.


• Andia, P. C., F. Costanzo, and G. L. Gray (2000). "On the Estimation of Intrinsic Stresses and Elastic Moduli in Thin Films." Complex Mediums. A. Lakhtakia, W. S. Weiglhofer and R. F. Messier. Bellingham, WA, SPIE—The International Society for Optical Engineering. Vol 4097, pp. 280–290.


• 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, Vol. 37, pp. 3375–3398.


• 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, Vol. 37, pp. 3375–3398.


• Costanzo, F. and G. L. Gray (2000). "On the Implementation of Interactive Dynamics." International Journal of Engineering Education, Vol. 16, No. 5, pp. 385–393.


• Andia, P. C., F. Costanzo, G. L. Gray, and T. J. Yurick (2001). "Calculation of Intrinsic Stresses and Elastic Moduli in Nonhomogeneous Thin Films." Multiscale Modeling of Materials–2000. L. P. Kubin, R. L. B. Selinger, J. L. Bassani and K. Cho. Pittsburgh, PA, Materials Research Society. Vol. 653, Z10.3.1–Z10.3.6.


• Caiazzo, A. A. and F. Costanzo (2001). "Modeling the Constitutive Behavior of Layered Composites with Evolving Cracks." International Journal of Solids and Structures, Vol. 38, No. 20, pp. 3469–3485.


• Caiazzo, A. A. and F. Costanzo (2001). "Effective 3D Constitutive Relations of Composites with Evolving Damage." Journal of Engineering Mechanics, Vol. 127, No. 7, pp. 661–666.


• Costanzo, F. (2001). "An Analysis of 3D Crack Propagation Using Cohesive Zone Models and the Theory of Configurational Forces." Mathematics and Mechanics of Solids, Vol. 6, No. 2, pp. 149–173.


• 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, Vol. 50, pp. 1649–1679


• 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, Vol. 191, No. 46, pp. 5315–5343.


• Costanzo, F. and G. L. Gray (2003) "Creating Labeled Stand-Alone Figures in LATEX using WARMreader and Adobe Illustrator under Mac OS X," TUGboat, Vol. 24, No. 1, pp. 39–49, special 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.


• Gray, G. L. and F. Costanzo (2003) "Experiences and Lessons Learned Teaching LATEX to University Students," TUGboat, 2Vol. 24, No. 1, pp. 124–131, special issue of the TUGboat Journal containing the proceedings of the Twenty-fourth Annual Meeting of the TEX users group, Waikiloa, Hawaiii, July 20–24, 2003.


• 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, Vol. 12, pp. S333–S345.


• Evans, D. L., G. L. Gray, F. Costanzo, P. Cornwell, and B. P. Self (2004) "Rigid Body Dynamics: Student Misconceptions and Their Diagnosis," in XXI International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, August 15–21, 2 pages, no page numbers.


• Gray, G. L., D. Evans, F. Costanzo, P. Cornwell, and B. Self (2004) "Progress on the Dynamics Concept Inventory," in American Society for Engineering Education Annual Conference, Salt Lake City, Utah, June 20–23, presentation only.


• 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, VOl. 127, No. 2, pp. 119–146.


• Randow, C. L., G. L. Gray, and F. Costanzo (2004) "A Polar Continuum Model of a Columnar Thin Film," in ECCOMAS 2004–European Congress on Computational Methods in Applied Sciences and Engineering, Jyväskylä, Finland, July 24–28.


• Song, J. H., F. Costanzo, and B. L. Lee (2004) "Fatigue of Cord-Rubber Composites: Cord Reinforcement Effect," Rubber Chemistry and Technology, Vol. 77, No. 4, pp. 593–610.


• 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, Vol. 42, No. 24–25, pp. 6409–6432.


• 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, Vol. 43, No. 7, pp. 533–555.


• Costanzo, F. and H. Huang (2005) "Proof of Unconditional Stability for a Single-Feld Discontinuous Galerkin Finite Element Formulation for Linear Elasto-Dynamics," Computer Methods in Applied Mechanics and Engineering, Vol. 194, No. 18–20, pp. 2059–2076.


• Randow, C. L., G. L. Gray, and F. Costanzo (2005) "A Proposed Directed Continuum Model of Micro- and Nano-scale Thin Films," International Journal of Solids and Structures, Vol. 43, No. 5, pp. 1253–1275.


• 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, Vol. 14, pp. 741–757.


• Miller, S. T. and F. Costanzo (2006) "A Space-Time Finite Element Method for Second Order Hyperbolic Problems," International Journal of Computational Engineering Science, submitted for publication.


• Khalmanova, D. K. and F. Costanzo (2006) "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, submitted for publication.


• Costanzo, F., G. L. Gray (2006) "A Micro-Mechanics-Based Notion of Stress for use in the Determination of Continuum-Level Mechanical Properties via Molecular Dynamics", book Chapter to appear in Multiscale Modeling and Simulation of Composite Materials and Structures, edited by Y. Kwon, D. H. Allen, and R. Talreja, in progress.