Analytical investigation of a four-variable model of the BZ reaction

1987 ◽  
Vol 33 (1) ◽  
pp. 93-98 ◽  
Author(s):  
H. Farkas ◽  
Z. Noszticzius
Keyword(s):  
Analytical Investigation ◽  
Variable Model ◽  
Bz Reaction

On single damage variable models for fatigue

2012 ◽  
Vol 22 (2) ◽  
pp. 268-284 ◽  
Author(s):  
Elisha Rejovitzky ◽  
Eli Altus
Keyword(s):  
Fatigue Life ◽  
Damage Evolution ◽  
Life Prediction ◽  
Integral Formula ◽  
Analytical Investigation ◽  
Damage Variable ◽  
Variable Model ◽  
Indirect Measure ◽  
Random Loads ◽  
Life Predictions

This study focuses on an analytical investigation of the common characteristics of fatigue models based on a single damage variable. The general single damage variable constitutive equation is used to extract several fundamental properties. It is shown that at constant amplitude loads, damage evolution results are sufficient for predicting fatigue life under any load history. Two-level fatigue envelopes constitute an indirect measure of the damage evolution and form an alternative basis for life prediction. In addition, high-to-low and low-to-high envelopes are anti-symmetrical with respect to each other. A new integral formula for life prediction under random loads is verified with the models of Manson and Hashin, and also developed analytically for other models including Chaboche, resulting in analytical predictions. The Palmgren – Miner rule is found to yield an upper bound for fatigue life predictions under random loads, regardless of the load distribution and the specific single damage variable model.

Analytical Investigation of Commercial Geranium Oils from Pelargonium graveolens L'Hér

Planta Medica ◽  
2012 ◽  
Vol 78 (05) ◽  
Author(s):  
M Wang ◽  
A Chittiboyina ◽  
B Avula ◽  
J Zhao ◽  
N Tabanca ◽  
...  
Keyword(s):  
Analytical Investigation ◽  
Pelargonium Graveolens

Flow Chemistry Controls Both Self-Assembly and the Entrapped Oscillatory Cargo in Belousov-Zhabotinsky Driven Polymerization-Induced Self-Assembly

2019 ◽  
Author(s):  
Liman Hou ◽  
Marta Dueñas-Diez ◽  
Rohit Srivastava ◽  
Juan Perez-Mercader
Keyword(s):  
Self Assembly ◽  
Flow Chemistry ◽  
Batch Reactors ◽  
Equilibrium Conditions ◽  
One Pot ◽  
Bz Reaction ◽  
Polymer Vesicles ◽  
Simultaneous Control ◽  
Novel Method ◽  
Continuously Stirred Tank Reactor

<p></p><p>Belousov-Zhabotinsky (B-Z) reaction driven polymerization-induced self-assembly (PISA), or B-Z PISA, is a novel method for the autonomous one-pot synthesis of polymer vesicles from a macroCTA (macro chain transfer agent) and monomer solution (“soup”) containing the above and the BZ reaction components. In it, the polymerization is driven (and controlled) by periodically generated radicals generated in the oscillations of the B-Z reaction. These are inhibitor/activator radicals for the polymerization. Until now B-Z PISA has only been carried out in batch reactors. In this manuscript we present the results of running the system using a continuously stirred tank reactor (CSTR) configuration which offers some interesting advantages.Indeed, by controlling the CSTR parameters we achieve reproducible and simultaneous control of the PISA process and of the properties of the oscillatory cargo encapsulated in the resulting vesicles. Furthermore, the use of flow chemistry enables a more precise morphology control and chemical cargo tuning. Finally, in the context of biomimetic applications a CSTR operation mimics more closely the open non-equilibrium conditions of living systems and their surrounding environments.</p><p></p>

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