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Ultrasonic bulk and guided wave propagation in classical and non-classical continua
course delivered to PhD students, Sapienza University of Rome September 6-8 2023
Complete list of lectures including prof. Trovalusci's
Ultrasonic bulk and guided wave propagation in classical and non-classical continua
course delivered to PhD students, Sapienza University of Rome September 6-8 2023
Complete list of lectures including prof. Trovalusci's
Content: (1) Dynamics of infinite DOF systems and discrete-to-continuum transition; (2) dispersion principles explained by means of waves in strings; (3) bulk waves in unbounded isotropic and anisotropic classical continua: the acoustic tensor; (4) cube-cutting technique for the experimental evaluation of material constants.
Content: (1) Reflection, transmission and refraction of waves from interfaces; (2) guided waves in plates: shear and Rayleigh-Lamb waves; (3) semi-analytical methods for the determination of dispersion curves in waveguides and in periodic systems; (4) forced response of a waveguide: the principle of reciprocity.
Content: (1) Kinematics and dynamics of periodic discrete systems endowed with at-a-distance actions or rotational degrees-of-freedom: wave propagation and discrete-to-continuum transition. Propagation of bulk waves in Cosserat and Second-gradient continua
References
References
The basics
J.L. Rose, Ultrasonic waves in solid media, Cambridge University Press, 1999
K.F. Graff, Wave motion in elastic solids, Dover Publications, New York, 1975
B.A. Auld, Acoustic fields and waves in solids, vol I,II, Krieger Publishing Company, Malabar, Florida, 1973
M. E. Gurtin, An introduction to continuum mechanics, Academic Press, Elsevier, 2003
H. Georgi, The physics of waves, Prentice Hall, Englewood Cliffs, New Jersey, 1993
Spectral elements
J.F. Doyle, Wave Propagation in Structures an FFT-based Spectral Analysis Technology, Springer Verlag, New Yor, 1989
SAFE – Semi-analytical finite element methods
J.L. Rose, Ultrasonic Guided Waves in Solid Media, Cambridge University Press, 2014
Nonlinearities and effects of stress
F.D. Murhaghan, Finite Deformation of an Elastic Solid, John Wiley and Sons, New York, 1951
Imaging
A. Kak, M. Slaney, Principles of Computerized Tomographic Imaging, IEEE press, USA, 1987
G. L. Zeng, Medical Image Reconstruction, Springer, 2010
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