Wave propagation in viscoelastic horns using a fractional calculus rheology model

2003 ◽  
Vol 114 (4) ◽  
pp. 2442-2442 ◽  
Author(s):  
Timothy Margulies
Keyword(s):  
Wave Propagation ◽  
Fractional Calculus ◽  
Rheology Model

Application of Fractional Calculus Methods to Viscoelastic Response of Amorphous Shape Memory Polymers

2015 ◽  
Vol 31 (4) ◽  
pp. 427-432 ◽  
Author(s):  
C-Q. Fang ◽  
H.-Y. Sun ◽  
J.-P. Gu
Keyword(s):  
Fractional Calculus ◽  
Shape Memory ◽  
Constitutive Models ◽  
Shape Memory Polymers ◽  
Viscoelastic Response ◽  
Thermally Activated ◽  
Viscoelastic Models ◽  
Recovery Response ◽  
Viscoelastic Equations ◽  
Rheology Model

AbstractConstitutive models based on fractional calculus are utilized to investigate the viscoelastic response of thermally activated shape memory polymers (SMPs). Fractional calculus-based viscoelastic equations are fitted to experimental data existing in literature compared with traditional viscoelastic models. In addition, a fractional rheology model is applied to simulate the isothermal recovery of an amorphous SMP. The fit results show a significant improvement in the description of the strain recovery response of SMP by the fractional calculus method.

scholarly journals Attenuated Fractional Wave Equations With Anisotropy

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Mark M. Meerschaert ◽  
Robert J. McGough
Keyword(s):  
Wave Propagation ◽  
Fractional Calculus ◽  
Power Law ◽  
Wave Equations ◽  
Anomalous Dispersion ◽  
Complex Media ◽  
Attenuation Index ◽  
Fractional Wave Equations ◽  
Analytical Expressions

This paper develops new fractional calculus models for wave propagation. These models permit a different attenuation index in each coordinate to fully capture the anisotropic nature of wave propagation in complex media. Analytical expressions that describe power law attenuation and anomalous dispersion in each direction are derived for these fractional calculus models.

Electron Microscopy of Shock Loaded Polycrystalline Beryllium

1974 ◽  
Vol 32 ◽  
pp. 506-507 ◽  
Author(s):  
J. M. Galbraith ◽  
L. E. Murr ◽  
A. L. Stevens
Keyword(s):  
Electron Microscopy ◽  
Wave Propagation ◽  
Structural Change ◽  
Single Crystal ◽  
Diffraction Pattern ◽  
Shock Loading ◽  
Slip Systems ◽  
Compression Tests ◽  
X Ray Diffraction ◽  
X Ray

Uniaxial compression tests and hydrostatic tests at pressures up to 27 kbars have been performed to determine operating slip systems in single crystal and polycrystal1ine beryllium. A recent study has been made of wave propagation in single crystal beryllium by shock loading to selectively activate various slip systems, and this has been followed by a study of wave propagation and spallation in textured, polycrystal1ine beryllium. An alteration in the X-ray diffraction pattern has been noted after shock loading, but this alteration has not yet been correlated with any structural change occurring during shock loading of polycrystal1ine beryllium.This study is being conducted in an effort to characterize the effects of shock loading on textured, polycrystal1ine beryllium. Samples were fabricated from a billet of Kawecki-Berylco hot pressed HP-10 beryllium.

Sign in / Sign up

Export Citation Format

Share Document