TOPICS
Solitary wave propagation
Nonlinear waves in micro and nano composites
Cylindrical waves
Murnaghan Signorini Elasticity
Volterra distortions
Elastic wavelets in linear composites
Story Title
JOURNALS
C.Cattani, “Waves in nonlinear Signorini structural model”, Journal of Mathematics, University of North Bengala, I,
No.2(2008) 97–106.
Cattani C., Rushchitsky J.J. “Similarities and differences between the Murnaghan and Signorini descriptions of the
evolution of quadratically nonlinear hyperelastic plane waves”, Int. Appl. Mech., 42, 9, (2006).
http://www.springerlink.com/content/y27212074puq1750/?p=bed3fc6dc71b4073b21d750002a4f0d2π=20
C.Cattani, J.Rushchitsky, “Nonlinear plane? waves in Signorini’s hyperelastic material”, Int. Appl. Mech.,42, 8,
(2006) 58-67.
http://www.springerlink.com/content/u15623086887n081/?p=fb3d05fb5feb41a3bf663581788667c4π=6
Cattani C., Rushchitsky J.J. “Nonlinear cylindrical waves in Signorini’s hyperelastic material”, Int. Appl.
Mech., 42, 7, (2006), 45-56.
http://www.springerlink.com/content/44u848q8j3l1q261/?p=3cdb608c818c49869ed7e30a766ac734π=11
Rushchitsky J.J., Cattani C., “Analysis of plane and cylindrical nonlinear hyperelastic waves in materials with internal
structure”, Int. Appl. Mech., 42, 10, (2006), 21–46.
http://www.springerlink.com/content/q767011284073550/?p=3cdb608c818c49869ed7e30a766ac734π=18
C.Cattani, J.J.Rushchitsky, “Volterra’s distortions in nonlinear hyperelastic media”, International Journal of Applied
Mathematics and Mechanics, vol. 1, no.3, (2005) 100-118.
C.Cattani, J.J.Rushchitsky, S.V. Sinchilo, “Physical constants for one type of nonlinearly elastic
fibrous micro- and nanocomposites with hard and soft nonlinearities”, Int. Appl. Mech. 41, 12, (2005) 47-60.
http://www.springerlink.com/content/6u44r2mw865016×5/?p=3cdb608c818c49869ed7e30a766ac734π=16
J.J.Rushchitsky, C.Cattani, E.V. Terletska, “Wavelet Analysis of a Single Pulse in a linearly Elastic
Composite” International Applied Mechanics, 41 (4) 2005, 374-380.
http://www.springerlink.com/content/j763050751500845/?p=3cdb608c818c49869ed7e30a766ac734π=19
C.Cattani, “Solitary Waves in Dispersive Media”, Il Nuovo Cimento B, Vol. 119, issue no. 7-9, (2004) 875-888.
http://paperseek.sif.it/index.php?doi=10.1393/ncb/i2004-10209-4
C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Comparative Analysis of the Profile Evolution of an
Elastic Harmonic Wave caused by the second and third Harmonics” , International Applied? Mechanics,
40, No 2 (2004), 183-189.
http://www.springerlink.com/content/l8j13gt238277022/?p=3cdb608c818c49869ed7e30a766ac734π=12
C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Cubic nonlinearity in elastic materials: theoretical prediction
and computer modelling of new wave effects”, Mathematical and Computer Modelling in Dynamical Systems,
10, No.3-4. (2004), 331-352.
C.Cattani, J.J.Rushchitsky, and E.V.Terletskaya, “Wavelet Analysis of the evolution of a solitary wave
in a composite material”, International Applied Mechanics, 40, 3 (2004) 311-318.
http://www.springerlink.com/content/q7m81772q65325n4/?p=d2cb0e01729b47f6836485e949fa7a9fπ=7
J.J.Rushchitsky, C.Cattani, “Evolution Equations for Plane Cubically Nonlinear Elastic Waves”, International Applied
Mechanics, 40, no 1 (2004) 70-76.
http://www.springerlink.com/content/j6673p6332764726/?p=fb3d05fb5feb41a3bf663581788667c4π=4
C.Cattani and J.J.Rushchitsky “Cubically nonlinear elastic waves versus quadratically ones. Main wave effects”,
International Applied Mechanics, 39, No 12 (2003) 1361-1399.
http://www.springerlink.com/content/g6r222w17q92q140/?p=fb3d05fb5feb41a3bf663581788667c4π=2
C.Cattani and J.J.Rushchitsky, “Cubically Nonlinear Elastic Waves: Wave Equations and Methods of Analysis”,
International Applied Mechanics, 39, No 10 (2003), 1115-1145.
http://www.springerlink.com/content/n4k7h853g2623826/?p=3cdb608c818c49869ed7e30a766ac734π=15
C.Cattani and J.J.Rushchitsky, “Solitary Elastic Waves and Elastic Wavelets”, International Applied Mechanics, 39,
No.6 (2003), 741-752.
http://www.springerlink.com/content/k63g323138k47083/?p=fb3d05fb5feb41a3bf663581788667c4π=1
C.Cattani and J.J.Rushchitsky, “The Subharmonic Resonance and Second Harmonic of a Plane Wave in Nonlinearly
Elastic Bodies” International Applied Mechanics, 39, No 1 (2003), 93-98.
http://www.springerlink.com/content/x7t218445600h8m2/?p=3cdb608c818c49869ed7e30a766ac734π=13
C.Cattani, J.J.Rushchitsky and S.V. Sinchilo, “Propagation of the Energy of Nonlinearly Elastic Plane Waves” ,
International Applied Mechanics, 39, No 5 (2003) 583-586.
http://www.springerlink.com/content/m0870×17xn73323v/?p=fb3d05fb5feb41a3bf663581788667c4π=0
J.J.Rushchitsky, C.Cattani, and S.V. Sinchilo, “Cubic Nonlinearity in Elastic Materials: Theoretical
Prediction and Computer Modelling and New Wave Effects” , Mathematical and Computer Modelling
of Dynamical System, vol. 10, No 3-4 (2003), 331-352.
J.J.Rushchitsky, C.Cattani, and E.V.Terletskaya, “The Effect of the Characteristic Dimension of a
Microstructural Material and the Trough Length of a Solitary Wave on its Evolution”, International Applied
Mechanics, 39, No 2 (2003), 197-202.
http://www.springerlink.com/content/k244v574k0v47355/?p=bed3fc6dc71b4073b21d750002a4f0d2π=21
C.Cattani and J.J.Rushchitsky, “Plane waves in Cubically Nonlinear Elastic Media”, International Applied Mechanics,
38, No.11, (2002), 1361-1365.
http://www.springerlink.com/content/gu6502572l373873/?p=fb3d05fb5feb41a3bf663581788667c4π=3
J.J.Rushchitsky and C.Cattani, “Generation of the Third Harmonics by Plane Waves in Murnaghan Materials” ,
International Applied Mechanics, 38, No.12, (2002),1483-1487.
http://www.springerlink.com/content/tp66g351t44831k3/?p=d2cb0e01729b47f6836485e949fa7a9fπ=8
PROCEEDINGS
C.Cattani and J.Rushchitsky, “On certain direction in the Nonlinear Waves Analysis in Elastic Materials”, Proceedings
of the International Conference APM 2003,”Advanced Problems in Mechanics”, D.A. Indeitsev (Ed.), St Petersburg,
Russia, June 22-July 2, 2003 (2004). pp. 185-194,
J.Rushchitsky, C.Cattani and K.Terletska, “Modelling the Plane Solitary Wave Evolution Using the Wavelet Analysis”,
Proceedings of the International Conference APM 2003,”Advanced Problems in Mechanics”, D.A. Indeitsev (Ed.), St
Petersburg, Russia, June 22-July 2, 2003 (2004). pp. 203-210,
C.Cattani, “Wavelets in the Propagation of Waves in Materials with Microstructure”, International Conference
“Physics and Control” (PhysCon 2003), St Petersburg, Russia, August 20-22, 2003, 1084-1089.
C.Cattani, “Wavelet Solutions in Elastic Nonlinear Oscillations”, Proceedings of the 11th International Conference on
“Waves and Stability in Continuous Media-Wascom 2001”, R.Monaco, M.Pandolfi Bianchi, S.Rionero (eds.),Porto
Ercole, (Italy),3-9, June 2001,World Scientific, (2002), 144-149.
C.Cattani, “Wavelets in the Heat Propagation”, Proceedings of the Third International Workshop on
“Mathematica”System in Teaching and Research, Wydawnictwo Akademii Podlaskiej, Siedlce, Poland,
September 5-7, (2001), 40-45.