Wave propagation modeling in cylindrical human long wet bones with cavity

被引:41
作者
Abd-Alla, A. M. [1 ,2 ]
Abo-Dahab, S. M. [1 ,4 ]
Mahmoud, S. R. [2 ,3 ]
机构
[1] Taif Univ, Fac Sci, Maths Dept, At Taif, Saudi Arabia
[2] Sohag Univ, Fac Sci, Maths Dept, Sohag, Egypt
[3] King Abdulaziz Univ, Fac Educ, Maths Dept, Jeddah 21413, Saudi Arabia
[4] SVU, Fac Sci, Maths Dept, Qena 83523, Egypt
关键词
Elastic; Bones; Poroelastic; Transversely isotropic; Mechanical wave; Natural frequency; Piezoelectric material; ULTRASONIC METHOD; POROELASTIC BONE; GUIDED-WAVES; SIMULATION;
D O I
10.1007/s11012-010-9398-5
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The wave propagation modeling in cylindrical human long wet bones with cavity is studied. The dynamic behavior of a wet long bone that has been modeled as a piezoelectric hollow cylinder of crystal class 6 is investigated. An analytical solutions for the mechanical wave propagation during a long wet bones have been obtained for the flexural vibrations. The average stresses of solid part and fluid part have been obtained. The frequency equations for poroelastic bones are obtained when the medium is subjected to certain boundary conditions. The dimensionless frequencies are calculated for poroelastic wet bones for various values for non-dimensional wave lengths. The dispersion curves of the dry bone and wet bone for the flexural mode n=2 are plotted. The numerical results obtained have been illustrated graphically.
引用
收藏
页码:1413 / 1428
页数:16
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