Dr. Paul HeyligerProfessorCivil and Environmental Engineering |

Publications

Published Works

Refereed Journal Articles

- "Reduction of Free-Edge Stress Concentration", P.R. Heyliger and J.N. Reddy, Journal of Applied Mechanics, Vol. 52, No. 4, pp. 801-805 (1985).
- "A Mixed Computational Algorithm for Plane Elastic Contact Problems, 1. Formulation", P.R. Heyliger and J.N. Reddy, Computers and Structures, Vol. 64, No. 4, pp. 621-637 (1987).
- "A Mixed Computational Algorithm for Plane Elastic Contact Problems, 2. Numerical Examples", P.R. Heyliger and J.N. Reddy, Computers and Structures, Vol. 64, No. 4, pp. 638-653 (1987).
- "A Mixed Updated Lagrangian Formulation for Plane Elastic Problems", J.N. Reddy and P.R. Heyliger, Journal of Composites Technology and Research, Vol. 9, No. 4, pp. 131-140 (1987).
- "On a Mixed Finite Element Model for Large Deformation Analysis of Elastic Solids", P.R. Heyliger and J.N. Reddy, International Journal for Non-linear Mechanics, Vol. 23, No. 2, pp. 131-145 (1988).
- "On Conventional and Quarter-Point Mixed Elements in Linear Elastic Fracture Mechanics", P.R. Heyliger, Engineering Fracture Mechanics, Vol. 31, pp. 157-171 (1988).
- "A Higher Order Beam Finite Element for Bending and Vibration Problems", P.R. Heyliger and J.N. Reddy, Journal of Sound and Vibration, Vol. 126, pp. 309-326 (1988).
- "Stress Intensity Factors by Enriched Mixed Finite Elements", P.R. Heyliger and R.D. Kriz, International Journal for Numerical Methods in Engineering, Vol. 28, pp. 1461-1473 (1989).
- "Flaw Detection by Capacitive Array Sensors Using Finite and Infinite Elements", P.R. Heyliger, J.C. Moulder and N. Nakagawa, International Journal of Numerical Modelling, Vol. 2, pp. 117-129 (1989).
- "Resonating-Orthotropic-Cube Method for Elastic Constants", P.R. Heyliger, H. Ledbetter and M.Austin, in Dynamic Elastic Modulus Measurements in Materials, ASTM STP 1045, Alan Wolfenden, editor, American Society for Testing and Materials, Philadelphia, 1989.
- "Boundary Singularities in the Laplace Equation by Enriched Finite Elements", P.R. Heyliger, Computers and Structures, Vol. 34, pp. 681-683 (1990).
- "Capacitive Arrays for Quantitative NDE", P.J. Schull, P.R. Heyliger and A.V. Clark, Research in Nondestructive Evaluation, Vol. 2, pp. 11-27 (1990).
- "Axisymmetric Free Vibrations of Finite Anisotropic Cylinders", P.R. Heyliger, Journal of Sound and Vibration, Vol. 148, No. 3, 507-520 (1991).
- "Theory of Capacitor Probe Method for Noncontact Characterization of Dielectric Properties of Materials", V. Tewary, P.R. Heyliger and A.V. Clark, Journal of Materials Research, Vol. 6, No. 3, 629-638 (1991).
- "The Free Vibrations of Inhomogeneous Anisotropic Cylinders and Spheres", P.R. Heyliger and A. Jilani, International Journal of Solids and Structures, Vol. 29, pp. 2689-2708 (1992).
- "Global-Local Finite Element Models for Calculating Fracture Parameters", P.R. Heyliger, Engineering Fracture Mechanics, Vol. 43, pp. 869-885 (1992).
- "Evaluation of Field Singularities by an Iterative Boundary Element Method", P.R. Heyliger and T. Rudolphi, Communications in Applied Numerical Methods, Vol. 9, pp. 337-343 (1993).
- "Free Vibrations of Laminated Anisotropic Cylindrical Shells", P. R. Heyliger and A. Jilani, ASCE Journal of Engineering Mechanics, Vol. 119, No. 5, pp. 1062-1077 (1993).
- "Elastic Constants of Isotropic Cylinders Using Resonant Ultrasound", P. R. Heyliger, A. Jilani, H. Ledbetter, R. Leisure, C.-K. Wang, Journal of the Acoustical Society of America, Vol. 94, 1482-1487 (1993).
- "Animation of Free Vibration Modes of Homogeneous Elastic Solids, P. R. Heyliger, M. Hussein, and H. Ledbetter, in International Video Journal of Engineering Research. Vol. 3, 73-83 (1993).
- "Axisymmetric Free Vibrations of Homogeneous and Laminated Piezoelectric Cylinders", N. Kharouf and P. R. Heyliger, Journal of Sound and Vibration, Vol. 174, 539-561 (1994).
- "Static Behavior of Piezoelectric Laminates with Distributed and Patched Electrodes", S. P. Brooks and P. R. Heyliger, International Journal of Smart Material Systems and Structures, Vol. 5, 635-646 (1994).
- "Static Behavior of Laminated Elastic/Piezoelectric Plates", P. R. Heyliger, AIAA Journal, Vol. 32, 2481-2484 (1994).
- "Coupled Discrete-Layer Finite Element Models for Laminated Piezoelectric Plates", P. R. Heyliger, G. Ramirez, and D. Saravanos, Communications in Numerical Methods in Engineering, Vol. 10, 971-981 (1994).
- "Free Vibration of Piezoelectric Laminates in Cylindrical Bending", P.R. Heyliger, International Journal of Solids and Structures, Vol. 32, pp. 2945-2959 (1995).
- "Coupled Electromechanical Response of Composite Beams with Embedded Piezoelectric Sensors and Actuators", D. A. Saravanos and P. R. Heyliger, International Journal of Intelligent Material Systems and Structures, Vol. 6, pp. 350-363 (1995).
- "Exact Free Vibration Analysis of Laminated Plates with Embedded Piezoelectric Layers", P. R. Heyliger and D. A. Saravanos, Journal of the Acoustical Society of America, Vol. 98, No. 3, pp. 1547-1557 (1995).
- "Elastic Constants and Internal Friction of Polycrystalline Copper", H. Ledbetter, C. Fortunko, and P. R. Heyliger, Journal of Materials Research, Vol. 10, pp. 1352-1353 (1995).
- "Orthotropic Elastic Constants of a B/Al Fiber-Reinforced Composite: An Ultrasonic-Resonance-Spectroscopy Study", H. Ledbetter, P. R. Heyliger and C. Fortunko, Journal of Applied Physics, Vol. 78, pp. 1542-1546 (1995).
- "Compressibility of Polycrystal and Monocrystal Copper: Ultrasonic-Resonance Spectroscopy", H. Ledbetter, S. Kim, C. Fortunko, and P. Heyliger, International Journal of Thermophysics, Vol. 17, pp. 263-269 (1995).
- "Layerwise Mechanics and Finite Element Model for Laminated Piezoelectric Shells", P. R. Heyliger, K. C. Pei and D. A. Saravanos, AIAA Journal, Vol. 34, pp. 2353-2360 (1996).
- "Discrete-Layer Analysis of Axisymmetric Vibrations of Laminated Piezoelectric Cylinders", M. Hussein and P. Heyliger, Journal of Sound and Vibration, Vol. 192, pp. 995-1003 (1996).
- "Exact Solutions for Piezoelectric Laminates in Cylindrical Bending", P. R. Heyliger and S. P. Brooks, ASME Journal of Applied Mechanics, Vol. 63, pp. 903-910 (1996).
- "Elastic Constants of Short-Fiber Textured Composites", M. Dunn, H. Ledbetter, P. Heyliger, W. Choi, Journal of the Mechanics and Physics of Solids, Vol. 44, pp. 1509-1541 (1996).
- "Layerwise Mechanics and Finite Element for the Dynamic Analysis of Piezoelectric Composite Plates", D. A. Saravanos, P. R. Heyliger and D. A. Hopkins, International Journal of Solids and Structures, Vol. 34, pp. 359-378 (1997).
- "Exact Solutions for Simply-Supported Laminated Piezoelectric Plates", P. R. Heyliger, ASME Journal of Applied Mechanics, Vol. 64, 299-306 (1997).
- "Planar Free Vibrations of O-Axis Piezoelectric Laminates", P. R. Heyliger, ASCE Journal of Engineering Mechanics, Vol. 123, 604-610 (1997).
- "A Note on the Static Behavior of Simply-Supported Piezoelectric Cylinders", P. R. Heyliger, International Journal of Solids and Structures, Vol. 34, pp. 3781-3794 (1997).
- "Detection of Surface and Subsurface Flaws in Homogeneous and Composite Solids Using Resonant Ultrasound", P. R. Heyliger and H. Ledbetter, Journal of Nondestructive Evaluation, Vol. 17, pp. 79-86 (1998).
- "Three-Dimensional Vibrations of Layered Piezoelectric Cylinders", M. Hussein and P. R. Heyliger, ASCE Journal of Engineering Mechanics, Vol. 124, pp. 1294-1298 (1998).
- "A Local/Global Matrix Formulation for Laminated Piezoelectric Media", P. R. Heyliger and G. Ramirez, Mechanics Research Communications, Vol. 25, pp. 701-708 (1998).
- "Electroelastic Fields in Layered Piezoelectric Spheres", P. R. Heyliger and Y. C. Wu, International Journal of Engineering Science, Vol. 37, pp. 143-161 (1999).
- "Mechanics and Computational Models for Laminated Piezoelectric Beams, Plates, and Shells", D. A. Saravanos and P. R. Heyliger, Applied Mechanics Reviews, Vol. 52, pp. 305-320 (1999).
- "A Discrete Layer Model of Hygrothermopiezoelectric Plates", W. Smittakorn and P. R. Heyliger, Mechanics of Composite Materials and Structures, Vol. 7, pp. 79-104 (2000).
- "Traction-Free Vibration of Layered Elastic and Piezoelectric Rectangular Parelellepipeds", P. R. Heyliger, Journal of the Acoustical Society of America, Vol. 107, pp. 1235-1245 (2000).
- "Free Vibration of Laminated Circular Piezoelectric Plates and Discs", P. R. Heyliger and G. Ramirez, Journal of Sound and Vibration, Vol. 229, pp. 935-956 (2000).
- "Mode-Selective Resonance Ultrasound Spectroscopy of a Layered Parallelepiped", H. Ogi, P. Heyliger, H. Ledbetter, and S. Kim, Journal of the Acoustical Society of America, Vol. 108, pp. 2829-2834 (2000).
- "Free Vibration of Piezoelectric Spherical Caps", Y. Wu and P. R. Heyliger, Journal of Sound and Vibration 245, pp. 527-544 (2001).
- "Cold Plastic Compaction of Powders by a Network Model", P. R. Heyliger and R. M. McMeeking, Journal of the Mechanics and Physics of Solids 49 pp. 2031-2054 (2001).
- "Anisotropic Elastic Constants: Measurement by Impact Resonance", P. R. Heyliger, P. Ugander, and H. Ledbetter, ASCE Journal of Materials in Civil Engineering, 13, pp. 356-363 (2001).
- "An Adaptive Wood Composite: Theory", W. Smittakorn and P. R. Heyliger, Wood and Fiber Science 33, pp. 595-608 (2001).
- "Free Vibrations of Simply Supported and Multilayered Magneto-Electro-Elastic Plates", E. Pan and P. R. Heyliger, Journal of Sound and Vibration, 252, pp. 429-442 (2002).
- "An Adaptive Wood Composite: Experiment", W. Smittakorn and P. R. Heyliger, ASCE Journal of Structural Engineering, Vol. 129, pp. 699-702 (2003).
- "Traction-Free Vibration of Trigonal Elastic Cylinders," P. R. Heyliger and W. Johnson, Journal of the Acoustical Society of America, Vol. 113, pp. 1812-1825 (2003).
- "Symmetrization of Ritz Approximation Functions for Vibrational Analysis of Trigonal Cylinders," W. Johnson and P. R. Heyliger, Journal of the Acoustical Society of America, Vol. 113, pp. 1826-1832 (2003).
- "Frictionless Contact in a Layered Piezoelectric Half-Space", G. Ramirez and P. Heyliger, Smart Materials and Structures, Vol. 12, pp. 612-625 (2003).
- "Elastic Constants of Natural Quartz", P. Heyliger, H. Ledbetter, and S. Kim, Journal of the Acoustical Society of America, Vol. 114, pp. 644-650 (2003).
- "Exact Solutions for Magneto-Electro-Elastic Laminates in Cylindrical Bending," E. Pan and P. R. Heyliger, International Journal of Solids and Structures, Vol. 40, pp. 6859-6876 (2003).
- "Elastic Constants of Layers in Isotropic Laminates," P. R. Heyliger, H. Ledbetter, S. Kim, and I. Reimanis, Journal of the Acoustical Society of America, Vol. 114, pp. 2618-2625 (2003).
- "The Compaction of Aggregates of Non-Spherical Linear Viscous Particles," Y. C.Wu, E. G. Thompson, and P. R. Heyliger, Computer Methods in Applied Mechanics and Engineering, Vol. 192, pp. 4929-4946 (2003).
- "Static Fields in Magnetoelectroelastic Laminates," P. R. Heyliger and E. Pan, AIAA Journal, Vol. 42, pp. 1435-1443 (2004).
- C. W. Yu, E. G. Thompson, and P. R. Heyliger, "The Compaction of Blended Aggregates of Non-Spherical Linear Viscous Particles," Computer Methods in Applied Mechanics and Engineering, Vol. 193, pp. 3871-3890 (2004).
- P. R. Heyliger, F. Ramirez, and E. Pan, "Two-Dimensional Static Fields in Magnetoelectroelastic Laminates", Journal of Intelligent Material Systems and Structures, Vol. 15, pp. 689-709 (2004).
- R. Hartschuh, A. Kisliuk, V. Novikov, A. Sokolov, P. R. Heyliger, C. M. Flannery, W. L. Johnson, C. L. Soles and W.-L. Wu, "Acoustic Phonon Confinement in Polymeric Nanostructures: Elastic Properties Probed by Brillouin Light Scattering", Applied Physics Letters 87, pp. 173121-173123 (2005).
- F. Ramirez, P. R. Heyliger, and E. Pan, "Static Analysis of Functionally Graded Elastic Anisotropic Plates Using a Discrete-Layer Approach," Composites B 37, pp. 10-20 (2005).
- P. R. Heyliger and J. Kienholz, "The Mechanics of Pyramids", International Journal of Solids and Structures 43, pp. 2693-2709 (2006).
- F. Ramirez, P. R. Heyliger, and E. Pan, "Free Vibration Response of Two-Dimensional Magneto-Electro-Elastic Laminated Plates," Journal of Sound and Vibration 292, pp. 626-644 (2006).
- F. Ramirez, P. R. Heyliger, and E. Pan, "Discrete Layer Solution to Free Vibrations of Functionally Graded Magneto-Electro-Elastic Plates", Mechanics of Advanced Materials and Structures 13, pp. 249-266 (2006).
- P. R. Heyliger, "Ritz Finite Elements for Curvilinear Particles", Communications in Numerical Methods in Engineering 22, pp. 335-345 (2006).
- A. Nair and P. R. Heyliger, "Elastic Waves in Combinatorial Material Libraries", Wave Motion 43, pp. 529-543 (2006).
- J. Chen, H. Chen, E. Pan, and P. R. Heyliger, "Modal Analysis of Magneto-Electro-Elastic Plates Using the State-Vector Approach", Journal of Sound and Vibration, 304, pp. 722-734 (2007).
- Ramriez, F., Heyliger, P. R., Rappe, A. K., and Leisure, R. G., "Breakdown of Frequency-Spectra Scaling of Si Nanoparticles", Physical Review B, 76 p. 085415 (2007).
- Johnson, W., Martino, C. F., Kim, S. A., and Heyliger, P. R., "Mode-Selective Acoustic Spectroscopy of Trigonal Piezoelectric Crystals", IEEE Transactions on Ultrasonics, Ferro-electrics, and Frequency Control 55, pp. 1133-1142 (2008).
- P. R. Heyliger, E. Pan, S. Cook, and M. Manaloto, "The Influence of Shape and Material Anisotropy on the Vibrational Modes of Free Particles", Journal of Sound and Vibration 311, pp. 184-199 (2008).
- F. Ramirez and P. R. Heyliger, "Elective Mechanical Properties of Low-Density Fibrous Composites," International Journal of Computational Methods in Engineering Science and Mechanics 9, pp. 91-102 (2008).
- F. Ramirez, P. R. Heyliger, A. K. Rappe, and R. G. Leisure, "Vibrational Modes of Free Nanoparticles from Atomic to Continuum Scales," Journal of the Acoustical Society of America 123, pp. 709-717 (2008).
- P. R. Heyliger, W. L. Johnson, and C. Flannery, "Vibrational Modes of Nanolines," Nanotechnology 19, 145707 (2008).
- J. W. van de Lindt, P. R. Heyliger, J. A. H. Carraro, and C. Choi, "Application and Feasibility of Coal Fly Ash as aWoodWall Insulation Supplement in Residential Buildings," Resources, Conservation, and Recycling 52, pp. 1235-1240 (2008).
- Johnson, W. L., Kim, S. A., Geiss, R., Flannery, C. M., Soles, C. L., Wang, C., Staord, C. M., Wu, W.-L., Torres, J. M., Vogt, B. D., and Heyliger, P. R., "Elastic Constants and Dimensions of Imprinted Polymeric Nanolines Determined from Brillouin Light Scattering," Nanotechnology 21 075703 (2010).
- Ramirez, F., Heyliger, P. R., and Ramirez, G., Computational Simulation of Low-Density Fibrous Composites," Revista Facultrad de Ingenieria - Universidad de Antioquia 54, pp. 73-83 (2010).
- Johnson, W. L., Kim, S. A., Geiss, R., Flannery, C. M., Bertness, K. A., and Heyliger, P. R., "Vibrational Modes of GaN Nanowires in the Gigahertz Range," Nanotechnology 23 p. 495709 (2012).
- Heyliger, P. R., "When Beam Theories Fail," Journal of Mechanics of Materials and Structures 8 p. 15-36 (2013).
- Heyliger, P. R., and Johnson, W. L., "Continuum-based Free Vibration of Circular Isotropic and Trigonal Plates," Journal of the Acoustical Society of America 134, pp. 1039-1048 (2013).
- Steadman, J., Atadero, R. A., and Heyliger, P. R., "Influence of Local Wall Variation in the Elastic Properties of Planar Cellular Solids," Mechanics of Advanced Materials and Structures 21, pp. 117-128 (2014).
- Chen, J. Y., Heyliger, P. R., and Pan, E., "Free vibration of three-dimensional multilayered magneto-electro-elastic plates under combined clamped/free boundary conditions," Journal of Sound and Vibration 333, pp. 4017-4029 (2014).

Discussions

- Author's Closure, Discussion of "Free Vibrations of Laminated Anisotropic Cylindrical Shells", by S. B. Dong, ASCE Journal of Engineering Mechanics, Vol. 120, July, pp. 1604-1605 (1994).
- Discussion on "Free Vibration Studies on Stress-Free Three-Dimensional Elastic Solids", by K. M. Kiew, K. C. Hung, and M. K. Lim, and "Free Vibration of a Class of Homogeneous Isotropic Solids", by P. G. Young and S. M. Dickenson, ASME Journal of Applied Mechanics, Vol. 63, p. 1055 (1996).

Published Book Reviews

- Review of Nonlinear Continuum Mechanics for Finite Element Analysis (2nd edn). Javier Bonet and Richard D. Wood. Cambridge University Press, Cambridge, 2008, in Communications in Numerical Methods in Engineering, 24, pp. 1567-1568 (2008).
- Review of Elbsandsteingebirge Klettern. Frank Richter and Martin Richter, in Rock and Ice, 197, October 2011.