Velocity dispersion of guided waves propagating in a free gradient elastic plate: Application to cortical bone
Φόρτωση...
Ημερομηνία
Συγγραφείς
Vavva, M. G.
Protopappas, V. C.
Gergidis, L. N.
Charalambopoulos, A.
Fotiadis, D. I.
Polyzos, D.
Τίτλος Εφημερίδας
Περιοδικό ISSN
Τίτλος τόμου
Εκδότης
Acoustical Society of America
Περίληψη
Τύπος
Είδος δημοσίευσης σε συνέδριο
Είδος περιοδικού
peer reviewed
Είδος εκπαιδευτικού υλικού
Όνομα συνεδρίου
Όνομα περιοδικού
Journal of the Acoustical Society of America
Όνομα βιβλίου
Σειρά βιβλίου
Έκδοση βιβλίου
Συμπληρωματικός/δευτερεύων τίτλος
Περιγραφή
The classical linear theory of elasticity has been largely used for the ultrasonic characterization of bone. However, linear elasticity cannot adequately describe the mechanical behavior of materials with microstructure in which the stress state has to be defined in a non-local manner. In this study, the simplest form of gradient theory (Mindlin Form-II) is used to theoretically determine the velocity dispersion curves of guided modes propagating in isotropic bone-mimicking plates. Two additional terms are included in the constitutive equations representing the characteristic length in bone: (a) the gradient coefficient g, introduced in the strain energy, and (b) the micro-inertia term h, in the kinetic energy. The plate was assumed free of stresses and of double stresses. Two cases were studied for the characteristic length: h = 10(-4) m and h = 10(-5) m. For each case, three subcases for g were assumed, namely, g > h, g > h, and g=h. The values of g and h were of the order of the osteons size. The velocity dispersion curves of guided waves were numerically obtained and compared with the Lamb modes. The results indicate that when g was not equal to h (i.e., g not equal h), microstructure affects mode dispersion by inducing both material and geometrical dispersion. In conclusion, gradient elasticity can provide supplementary information to better understand guided waves in bones. (c) 2009 Acoustical Society of America. [DOI: 10.1121/1.3110203]
Περιγραφή
Λέξεις-κλειδιά
ultrasonic axial transmission, healing long bones, surface-energy, compact-bone, in-vitro, nonlocal elasticity, cellular materials, continuum-theories, linear elasticity, longitudinal-wave
Θεματική κατηγορία
Παραπομπή
Σύνδεσμος
<Go to ISI>://000265884700062
http://link.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JASMAN000125000005003414000001
http://link.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JASMAN000125000005003414000001
Γλώσσα
en
Εκδίδον τμήμα/τομέας
Όνομα επιβλέποντος
Εξεταστική επιτροπή
Γενική Περιγραφή / Σχόλια
Ίδρυμα και Σχολή/Τμήμα του υποβάλλοντος
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικών