Effect of magnetic field on wave propagation in cylindrical poroelastic bone with cavity

• Published in: Structural engineering and mechanics Vol. 61; no. 4; pp. 539 - 549
• Main Author: Farhan, A.M.
• Format: Journal Article
• Language: English
• Published: 국제구조공학회 25-02-2017
• Subjects: Bones; Boundaries; Density; Holes; Magnetic fields; Mathematical analysis; Mathematical models; Wave propagation; 토목공학
• ISSN: 1225-4568; 1598-6217
• DOI: 10.12989/sem.2017.61.4.539

In this paper, the wave propagation in an infinite poroelastic cylindrical bone with cavity is studied. An exact closed form solution is presented by employing an analytical procedure. The frequency equation for poroelastic bone is obtained when the boundaries are stress free and is examined numerically. The magnitude of the frequency equation, wave velocity and attenuation coefficient are calculated for poroelastic bone for different values of magnetic field, density and frequency. In wet bone little frequency dispersion was observed, in contrast to the results of earlier studies. Such a model would in particular be useful in large-scale parametric studies of bone mechanical response. Comparison was made with the results obtained in the presence and absence of magnetic field. The results indicate that the effect of magnetic field, density and frequency on wave propagation in poroelastic bone are very pronounced.