Time-domain finite element analysis of viscoelastic structures with fractional derivatives constitutive relations

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1630-1637
Author(s):  
Mikael Enelund ◽  
B. L. Josefson
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Time Domain ◽  
Fractional Derivatives ◽  
Constitutive Relations ◽  
Element Analysis

scholarly journals Tension Leveling Using Finite Element Analysis with Different Constitutive Relations

2020 ◽  
Vol 60 (6) ◽  
pp. 1273-1283
Author(s):  
Honghao Wang ◽  
Boxun Wu ◽  
Takuya Higuchi ◽  
Jun Yanagimoto
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Constitutive Relations ◽  
Element Analysis

scholarly journals Shear-Actuation and Vibrometer Reception of Penetrating Ultrasonic Guided Wave Modes in Human Tibia

2020 ◽  
Vol 10 (23) ◽  
pp. 8397
Author(s):  
Anurup Guha ◽  
Michael Aynardi ◽  
Parisa Shokouhi ◽  
Cliff J. Lissenden
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Phase Velocity ◽  
Time Domain ◽  
Guided Waves ◽  
Ultrasonic Guided Waves ◽  
Appendicular Skeleton ◽  
Element Analysis ◽  
Human Tibia ◽  
Wave Modes

The hollow long bones of the human appendicular skeleton are known to support the propagation of ultrasonic guided waves, whose potential for diagnosing bone health is being investigated. In this study, ultrasonic guided waves propagating in the diaphysis of human tibia are characterized experimentally and numerically in the frequency range around 200 kHz. The experiment involves a unique combination of omni-directional shear transducer-based excitation and detection using a 1D laser Doppler vibrometer. The cluster of phase velocities obtained from a linear array of time-history data using space-time Fourier transform is found to be in the non-dispersive low-phase velocity region of the dispersion curves obtained for a tibial cross-section. Time-domain finite element analysis revealed that the displacement components normal to the surface are significant, even though the loading is from a shear transducer. Furthermore, semi-analytical finite element analysis revealed that the wave structures of the wave modes contained within the cluster of low-phase velocity modes are consistent with the displacement profiles obtained from the time-domain analysis. The experimental results show that the low-phase velocity mode cluster has sufficient intensity to propagate axially at least 85 mm in the mid-diaphyseal region.

Sign in / Sign up

Export Citation Format

Share Document