Review of Traumatic ruptures: Abandonment and betrayal in the analytic relation.

2016 ◽  
Vol 33 (4) ◽  
pp. 664-671
Author(s):  
Molly S. Castelloe
Keyword(s):  
Analytic Relation

scholarly journals Shock propagation into inhomogeneous media

1970 ◽  
Vol 43 (3) ◽  
pp. 487-495 ◽  
Author(s):  
J. D. Strachan ◽  
J. P. Huni ◽  
B. Ahlborn
Keyword(s):  
Shock Wave ◽  
Shock Front ◽  
Rarefaction Wave ◽  
Particle Velocity ◽  
Homogeneous Medium ◽  
Inhomogeneous Media ◽  
Front Velocity ◽  
Shock Propagation ◽  
Analytic Relation

An analytic relation is derived for the shock front velocity as a function of the initial parameters (pressure, density, and particle velocity) in a continuous, in-homogeneous medium. This relation was verified experimentally by using it to predict the propagation of a shock wave through a known rarefaction wave.

Estimate of Migration Force for Stent

2001 ◽  
Author(s):  
L.-D. Jou
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Drag Force ◽  
Carotid Arteries ◽  
Three Dimensional ◽  
Analytic Relation ◽  
Element Analysis ◽  
Drag Forces ◽  
Stent Deformation ◽  
New Directions

Abstract The stent has been a very effective device for treating vascular disease, such as in the coronary and carotid arteries. Due to the increasingly complex configuration of struts in the stent, it is instructive to investigate the relation between the strut configuration and the force that will result in stent deformation after stent placement. Although it is possible to obtain the same information through experiments or finite element analysis, a simple analytic relation may shed more light on the problem and also indicate new directions when it comes to redesign of existing stents. In our previous study (1), we investigated the drag force on a three dimensional strut structure, and the drag force appeared to be a function of strut configuration. The possible outcome of these drag forces is the focus of our current study.

scholarly journals Topological defects formation with momentum dissipation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Zhi-Hong Li ◽  
Hua-Bi Zeng ◽  
Hai-Qing Zhang
Keyword(s):  
Coherence Length ◽  
Scaling Laws ◽  
Condensed Matter ◽  
Normal Modes ◽  
Topological Defects ◽  
Graviton Mass ◽  
Analytic Relation ◽  
Strongly Coupled ◽  
Boundary Field ◽  
Conservation Of Momentum

Abstract We employ holographic techniques to explore the effects of momentum dissipation on the formation of topological defects during the critical dynamics of a strongly coupled superconductor after a linear quench of temperature. The gravity dual is the dRGT massive gravity in which the conservation of momentum in the boundary field theory is broken by the presence of a bulk graviton mass. From the scaling relations of defects number and “freeze-out” time to the quench rate for various graviton masses, we demonstrate that the momentum dissipation induced by graviton mass has little effect on the scaling laws compared to the Kibble-Zurek mechanism. Inspired from Pippard’s formula in condensed matter, we propose an analytic relation between the coherence length and the graviton mass, which agrees well with the numerical results from the quasi-normal modes analysis. As a result, the coherence length decreases with respect to the graviton mass, which indicates that the momentum dissipation will augment the number of topological defects.

Thermal Reliability of a Bilayer Slab Subjected to a Local Heat Source

1994 ◽  
Vol 116 (1) ◽  
pp. 37-43 ◽  
Author(s):  
T. Elperin ◽  
G. Rudin
Keyword(s):  
Heat Source ◽  
Closed Form ◽  
Thermal Stresses ◽  
Local Heat ◽  
Heat Pulse ◽  
Thin Coating ◽  
Fourier Number ◽  
Analytic Relation ◽  
Thermal Reliability ◽  
Circular Spot

The paper considers the distribution of temperature and thermal stresses in a bilayer slab which consists of a substrate and a thin coating subjected to a local short heat pulse. The heat source is distributed uniformly over a circular spot on a surface of the coating. The temperature and thermal stresses distributions in a slab are found analytically in a closed form using Laplace and Hankel integration transforms. The analytic relation is obtained for the evaluation of components of stress tensor in a coating as a function of a Fourier number and radius of heat source.

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