Effect of diameter nonuniformity in unoriented monofilament on stretch ratio and strength of the final fibre

1988 ◽  
Vol 19 (6) ◽  
pp. 379-382
Author(s):  
A. E. Filippov ◽  
V. N. Kaminskii ◽  
Yu. A. Tolkachev ◽  
E. P. Krasnov
Keyword(s):  
Stretch Ratio ◽  
Final Fibre

Frequency Tuning of a Nonlinear Electromagnetic Energy Harvester

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Longhan Xie ◽  
Ruxu Du
Keyword(s):  
Magnetic Field ◽  
Permanent Magnets ◽  
Energy Harvester ◽  
Frequency Tuning ◽  
Nonlinear Behavior ◽  
Stretch Ratio ◽  
Electromagnetic Energy ◽  
Elastic Strings ◽  
Simulation And Experiment ◽  
Frequency Tunable

This paper investigates a frequency-tunable nonlinear electromagnetic energy harvester. The electromagnetic harvester mainly consists of permanent magnets supported on the base to provide a magnetic field, and electrical coils suspended by four even-distributed elastic strings to be an oscillating object. When the base provides external excitation, the electrical coils oscillate in the magnetic field to produce electricity. The stretch length of the elastic strings can be tuned to change their stretch ratio by tuning adjustable screws, which can result in a shift of natural frequency of the harvester system. The transverse force of the elastic strings has nonlinear behavior, which broadens the system's frequency response to improve the performance of the energy harvester. Both simulation and experiment show that the above-discussed electromagnetic energy harvester has nonlinear behavior and frequency-tunable ability, which can be used to improve the effectiveness of energy harvesting.

Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hao Dong ◽  
Lin Du ◽  
Rongchun Hu ◽  
Shuo Zhang ◽  
Zichen Deng
Keyword(s):  
High Efficiency ◽  
Stochastic Dynamics ◽  
Stretch Ratio ◽  
Dielectric Elastomer ◽  
Mapping Method ◽  
The State ◽  
Stochastic Dynamic ◽  
Steady State Probability ◽  
Generalized Cell Mapping ◽  
Biological Compatibility

Abstract Dielectric elastomers are widely used in many fields due to their advantages of high deformability, light weight, biological compatibility, and high efficiency. In this study, the stochastic dynamic response and bifurcation of a dielectric elastomer balloon (DEB) with viscoelasticity are investigated. Firstly, the rheological model is adopted to describe the viscoelasticity of the DEB, and the dynamic model is deduced by using the free energy method. The effect of viscoelasticity on the state of equilibrium with static pressure and voltage is analysed. Then, the stochastic differential equation about the perturbation around the state of equilibrium is derived when the DEB is under random pressure and static voltage. The steady-state probability densities of the perturbation stretch ratio are determined by the generalized cell mapping method. The effects of parameter conditions on the mean value of the perturbation stretch ratio are calculated. Finally, sinusoidal voltage and random pressure are applied to the viscoelastic DEB, and the phenomenon of P-bifurcation is observed. Our results are compared with those obtained from Monte Carlo simulation to verify their accuracy. This work provides a potential theoretical reference for the design and application of DEs.

Abstract 562: Human Carotid Atherosclerosis Plaque Progression and Vessel Material Stiffness at Follow Up Had Positive Correlation: An in vivo Vessel Stiffness MRI Follow Up Study

2017 ◽  
Vol 37 (suppl_1) ◽  
Author(s):  
Qingyu Wang ◽  
Dalin Tang ◽  
Gador Canton ◽  
Jian Guo ◽  
Xiaoya Guo ◽  
...  
Keyword(s):  
Negative Correlation ◽  
Material Properties ◽  
Stretch Ratio ◽  
Patient Specific ◽  
Plaque Progression ◽  
Material Stiffness ◽  
Variation Rate ◽  
Vessel Material

It is hypothesized that artery stiffness may be associated with plaque progression. However, in vivo vessel material stiffness follow-up data is lacking in the literature. In vivo 3D multi-contrast and Cine magnetic resonance imaging (MRI) carotid plaque data were acquired from 8 patients with follow-up (18 months) with written informed consent obtained. Cine MRI and 3D thin-layer models were used to determine parameter values of the Mooney-Rivlin models for the 81slices from 16 plaques (2 scans/patient) using our established iterative procedures. Effective Young’s Modulus (YM) values for stretch ratio [1.0,1.3] were calculated for each slice for analysis. Stress-stretch ratio curves from Mooney-Rivlin models for the 16 plaques and 81 slices are given in Fig. 1. Average YM value of the 81 slices was 411kPa. Slice YM values varied from 70 kPa (softest) to 1284 kPa (stiffest), a 1734% difference. Average slice YM values by vessel varied from 109 kPa (softest) to 922 kPa (stiffest), a 746% difference. Location-wise, the maximum slice YM variation rate within a vessel was 306% (139 kPa vs. 564 kPa). Average slice YM variation rate within a vessel for the 16 vessels was 134%. Average variation of YM values from baseline (T1) to follow up (T2) for all patients was 61.0%. The range of the variation of YM values was [-28.4%, 215%]. For progression study, YM increase (YMI=YM T2 -TM T1 ) showed negative correlation with plaque progression measured by wall thickness increase (WTI), (r= -0.6802, p=0.0634). YM T2 showed strong negative correlation with WTI (r= -0.7764, p=0.0235). Correlation between YM T1 and WTI was not significant (r= -0.4353, p= 0.2811). Conclusion In vivo carotid vessel material properties have large variations from patient to patient, along the vessel segment within a patient, and from baseline to follow up. Use of patient-specific, location specific and time-specific material properties could potentially improve the accuracy of model stress/strain calculations.

Error Assessment and Error Reduction in Production-Level RANS-Based Drag Predictions

2003 ◽  
Author(s):  
Donald W. Davis ◽  
Scot A. Slimon
Keyword(s):  
Fourth Order ◽  
Grid Cell ◽  
Stretch Ratio ◽  
Error Assessment ◽  
Artificial Dissipation ◽  
Grid Approach ◽  
Parametric Studies ◽  
Drag Prediction ◽  
Richardson’S Extrapolation ◽  
Solid Walls

Assessments of the effects of several numerical parameters on RANS-based drag prediction accuracy are presented. The parameters include grid cell size adjacent to solid walls, grid stretch ratio, grid stretch transition, artificial dissipation scheme, and artificial dissipation coefficient. Results from extensive parametric studies on a two-dimensional flat plate are reported. Based on the results of these studies, guidelines for high-accuracy drag predictions using both second- and fourth-order accurate, finite-difference-based solvers are proposed. In addition, error assessments obtained with a single grid using second- and fourth-order accurate solutions are compared to multiple-grid Richardson’s extrapolation approaches. The single-grid approach is shown to provide a significant improvement in both accuracy and error assessment relative to the multiple-grid approach.

Microscopic vs. macroscopic deformation of the pulmonary alveolar duct

1992 ◽  
Vol 72 (4) ◽  
pp. 1348-1354 ◽  
Author(s):  
D. Yager ◽  
H. Feldman ◽  
Y. C. Fung
Keyword(s):  
Human Lung ◽  
Lung Parenchyma ◽  
Stretch Ratio ◽  
Area Ratio ◽  
Force Balance ◽  
Load Carrying ◽  
Macroscopic Deformation ◽  
Alveolar Duct ◽  
Deformed State ◽  
Length And Area

The stretch of the perimeters of alveolar ducts was measured at the surface of saline-filled specimens of human and dog lung parenchyma that were stretched biaxially. The microscopic stretch of these ducts was measured at several levels of isotropic biaxial macroscopic stretch of the parenchyma with stretch ratio (lambda x = lambda y) in the range of 1.20–1.40, which roughly corresponds to tidal breathing in humans and dogs. Alveolar walls were found to be load-carrying elements in the saline-filled lung, as seen by their straightness at all levels of stretch. Quantitatively, let l, A, L, and S denote, respectively, the duct perimeter length and area and the parenchymal target perimeter and area in the deformed state and lo, Ao, Lo, and So the corresponding variables in the undeformed state. The microscopic stretch ratio of the ducts (l/lo) was found to be approximately 4% larger than the macroscopic stretch ratio (L/Lo) in human lung and approximately 10% larger in dog lung. The microscopic area ratio of the ducts (A/Ao) was found to be approximately 10% larger than the macroscopic area ratio (S/So) in human lung and approximately 22% larger in dog lung. Ducts within human parenchyma were seen to be about twice as stiff as ducts within dog parenchyma over the range of macroscopic stretch studied. This correlates with the volume fractions of collagen and elastin being higher in the human lung than in dog lung. The observed nonuniformity in strain field at the microstructural level suggests the need to include a force balance between alveolar ducts and septal walls when modeling the mechanics of saline-filled parenchyma.

Are Geometrical and Structural Variations Along the Length of the Aorta Governed by a Principle of “Optimal Mechanical Operation”?

2013 ◽  
Vol 135 (8) ◽  
Author(s):  
Alexander Rachev ◽  
Stephen Greenwald ◽  
Tarek Shazly
Keyword(s):  
Experimental Data ◽  
Smooth Muscle ◽  
Vascular Smooth Muscle ◽  
Smooth Muscle Cells ◽  
Vascular Smooth Muscle Cells ◽  
Muscle Cells ◽  
Stretch Ratio ◽  
Synthetic Activity ◽  
Descending Aorta ◽  
Mass Fractions

It is well-documented that the geometrical dimensions, the longitudinal stretch ratio in situ, certain structural mechanical descriptors such as compliance and pressure-diameter moduli, as well as the mass fractions of structural constituents, vary along the length of the descending aorta. The origins of and possible interrelations among these observed variations remain open questions. The central premise of this study is that having considered the variation of the deformed inner diameter, axial stretch ratio, and area compliance along the aorta to be governed by the systemic requirements for flow distribution and reduction of cardiac preload, the zero-stress state geometry and mass fractions of the basic structural constituents of aortic tissue meet a principle of optimal mechanical operation. The principle manifests as a uniform distribution of the circumferential stress in the aortic wall that ensures effective bearing of the physiological load and a favorable mechanical environment for mechanosensitive vascular smooth muscle cells. A mathematical model is proposed and inverse boundary value problems are solved for the equations that follow from finite elasticity, structure-based constitutive modeling within constrained mixture theory, and stress-induced control of aortic homeostasis, mediated by the synthetic activity of vascular smooth muscle cells. Published experimental data are used to illustrate the predictive power of the proposed model. The results obtained are in agreement with published experimental data and support the proposed principle of optimal mechanical operation for the descending aorta.

Effect of temperature on the biaxial mechanics of excised lung parenchyma of the dog

1992 ◽  
Vol 73 (3) ◽  
pp. 1171-1180 ◽  
Author(s):  
J. C. Debes ◽  
Y. C. Fung
Keyword(s):  
Mechanical Properties ◽  
Lung Parenchyma ◽  
Tensile Tests ◽  
Stretch Ratio ◽  
Effect Of Temperature ◽  
Uniaxial Tensile ◽  
Slow Cooling ◽  
Influence Of Temperature On ◽  
Creep And Stress Relaxation ◽  
Tissue Material

The influence of temperature on the mechanical properties of excised saline-filled lung parenchyma of the dog was studied at low lung volume. The motivation of this study was to determine whether lung tissue material without the influence of surface tension undergoes a phase transition in the 20–40 degrees C range, as does synthetic elastin studied by Urry in 1984–1986. Dynamic biaxial and uniaxial tensile tests were done, and strain vs. Lagrangian stress curves were recorded during slow cooling and heating between 40 and 10 degrees C. To emphasize the effects of elastin, strains (defined as stretch ratio minus one) were kept below 30%. A slight decrease in compliance occurred with cooling over the entire temperature range. This effect may be attributed to collagen. It was accompanied by a gradual increase in length as the tissue cooled, an effect that may be attributed to elastin. This process was partially reversible with reheating. However, this effect is in contrast with the sudden drastic change in mechanical properties of synthetic elastin described by Urry. Hysteresis, creep, and stress relaxation were small at these low strains. Possible causes of these effects are discussed.

Influence of Stretch Ratio on the Measurement of Arterial Stiffness Using Indentation1

2014 ◽  
Vol 8 (2) ◽  
Author(s):  
Shijia Zhao ◽  
Mitchell Fullerton ◽  
Carl Nelson ◽  
Linxia Gu
Keyword(s):  
Arterial Stiffness ◽  
Stretch Ratio
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