Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. Delsanto, A.S. Gliozzi, M. Hirsekorn, and M. Nobili, “A 2D spring model for the simulation of ultrasonic wave propagation in nonlinear hysteretic media,” Ultrasonics in press (2006).
P.P. Delsanto and M. Scalerandi, “A spring model for the simulation of the propagation of ultrasonic pulses through imperfect contact interfaces,” J. Acoust. Soc. Am. 104(5), 2584-2591 (1998).
P.P. Delsanto, R.B. Mignogna, M. Scalerandi, and R.S. Schechter, “Simulation of ultrasonic pulse propagation in complex media,” in New Perspectives on Problems in Classical and Quantum Physics, edited by P. P. Delsanto and A. W. Saenz (Gordon and Breach Science Publishers, New Delhi, 1997), pp. 51-74.
P.P. Delsanto, T. Whitcombe, H.H. Chaskelis, and R.B. Mignogna, “Connection machine simulation of ultrasonic wave propagation in materials. I: The one-dimensional case,” Wave Motion 16, 65-80 (1992).
P.P. Delsanto, R.S. Schechter, H.H. Chaskelis, R.B. Mignogna, and R. Kline, “Connection machine simulation of ultrasonic wave propagation in materials. II: The two-dimensional case,” Wave Motion 20,295-314 (1994).
P.P. Delsanto, R.S. Schechter, and R.B. Mignogna, “Connection machine simulation of ultrasonic wave propagation in materials. III: The three-dimensional case,” Wave Motion 26, 329-339 (1997).
M. Scalerandi, P. P. Delsanto, C. Chiroiu, and V. Chiroiu, “Numerical simulation of pulse propagation in nonlinear 1-D media,” J. Acoust. Soc. Am. 106(5), 2424-2430 (1999).
Chapter 16 of this book.
P.P. Delsanto and M. Scalerandi, “Modeling nonclassical nonlinearity, conditioning and slow dynamics effects in mesoscopic elastic materials,” Phys. Rev. B 68(6), 064107 (2003).
M. Scalerandi, P. Delsanto, and P. Johnson, “Stress induced conditioning and thermal relaxation in the simulation of quasi-static compression experiments,” J. Phys. D: Appl. Phys. 36, 288-293 (2003).
T. Yamamoto, “Acoustic propagation in the ocean with a poro-elastic bottom,” J. Acoust. Soc. Am. 73(5),1587-1596 (1983).
L. A. Ostrovsky and P. A. Johnson, “Dynamic nonlinear elasticity in geomaterials,” Rivista del Nuovo Cimento C 24(7), 1-46 (2001).
Chapter 17 of this book.
M. Scalerandi, E. Ruffino, P.P. Delsanto, P.A. Johnson, and K.E.-A. Van Den Abeele, “Non-linear techniques for ultrasonic micro-damage diagnostics: A simulation approach,” in Review of Progress in Quantitative Nondestructive Evaluation, Vol. 19B, edited by D.O. Thompson and D.E. Chimenti (1999), pp. 1393-1399.
M. Scalerandi, P.P. Delsanto, V. Agostini, K. Van Den Abeele, and P.A. Johnson, “Local interaction simulation approach to modeling nonclassical, nonlinear elastic behavior in solids,” J. Acoust. Soc. Am. 113(6), 3049-3059 (2003).
Chapter 12 of this book.
J.W. Spencer, “Stress relaxations at low frequencies in fluid-saturated rocks: Attenuation and modulus dispersion,” J. Geophys. Res. 86, 1803-1812 (1981).
J.O.A. Robertsson, J.O. Blanch, and W.W. Symes, “Viscoelastic finite difference modeling,” Geophysics 59(9), 1444-1456 (1994).
O. Bou Matar, S. Dos Santos, J. Fortineau, L. Haumesser, and F. Van Der Meulen, “Pseudo-spectral simulation of 1D nonlinear propagation in heterogeneous elastic media,” in press (2006).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
Hirsekorn, M., Gliozzi, A., Nobili, M., Van Den Abeele, K. (2006). A 2-D Spring Model for the Simulation of Nonlinear Hysteretic Elasticity. In: Delsanto, P.P. (eds) Universality of Nonclassical Nonlinearity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-35851-2_18
Download citation
DOI: https://doi.org/10.1007/978-0-387-35851-2_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33860-6
Online ISBN: 978-0-387-35851-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)