Mesoscopic free energy as a framework for modeling shape memory alloys

2019 ◽  
Vol 30 (13) ◽  
pp. 1969-2012
Author(s):  
Wesley Ballew ◽  
Stefan Seelecke
Keyword(s):  
Free Energy ◽  
Shape Memory ◽  
Latent Heat ◽  
Compressive Behavior ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Dimensional Shape ◽  
The Difference ◽  
The One

This article presents a reinterpretation of the one-dimensional shape memory alloy model by Müller, Achenbach, and Seelecke (M-A-S) that offers extended capabilities and a simpler formulation. The cornerstone of this model is a continuous, multi-well free energy that governs phase change at a mesoscopic material scale. The free energy has been reformulated to allow asymmetric tensile and compressive behavior as well as temperature-dependent hysteresis while maintaining the necessary smoothness conditions. The free energy is then used to derive expressions for latent heat coefficients that include the influence of stress, the difference in stiffness between the phases, and irreversibility. Special attention is devoted to the role of irreversibility and latent heat predictions, which are compared to experimental measurements. The new model also includes an updated set of kinetics equations that operate on the convexity of the energy wells instead of the height of the energy barriers. This modification eliminates several sets of equations from the overall formulation without any compromises in performance and also bypasses limitations of the barrier-based equations.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

Effect of leakage and blockage on the acoustic behavior of particle filters

2019 ◽  
Vol 67 (6) ◽  
pp. 483-492
Author(s):  
Seonghyeon Baek ◽  
Iljae Lee
Keyword(s):  
Transfer Matrix ◽  
Particle Filters ◽  
Acoustic Analysis ◽  
Transmission Loss ◽  
One Dimensional ◽  
Filter System ◽  
The Difference ◽  
The One ◽  
Analytical Approaches ◽  
Good Agreement

The effects of leakage and blockage on the acoustic performance of particle filters have been examined by using one-dimensional acoustic analysis and experimental methods. First, the transfer matrix of a filter system connected to inlet and outlet pipes with conical sections is measured using a two-load method. Then, the transfer matrix of a particle filter only is extracted from the experiments by applying inverse matrices of the conical sections. In the analytical approaches, the one-dimensional acoustic model for the leakage between the filter and the housing is developed. The predicted transmission loss shows a good agreement with the experimental results. Compared to the baseline, the leakage between the filter and housing increases transmission loss at a certain frequency and its harmonics. In addition, the transmission loss for the system with a partially blocked filter is measured. The blockage of the filter also increases the transmission loss at higher frequencies. For the simplicity of experiments to identify the leakage and blockage, the reflection coefficients at the inlet of the filter system have been measured using two different downstream conditions: open pipe and highly absorptive terminations. The experiments show that with highly absorptive terminations, it is easier to see the difference between the baseline and the defects.

Theory of ultrasonic attenuation in one and two dimensional metals

1976 ◽  
Vol 54 (14) ◽  
pp. 1454-1460 ◽  
Author(s):  
T. Tiedje ◽  
R. R. Haering
Keyword(s):  
Ultrasonic Attenuation ◽  
Three Dimensional ◽  
Electronic Systems ◽  
Two Dimensional ◽  
Temperature Dependent ◽  
One Dimensional ◽  
The Difference

The theory of ultrasonic attenuation in metals is extended so that it applies to quasi one and two dimensional electronic systems. It is shown that the attenuation in such systems differs significantly from the well-known results for three dimensional systems. The difference is particularly marked for one dimensional systems, for which the attenuation is shown to be strongly temperature dependent.

scholarly journals The One‐Dimensional Log‐Gas Free Energy Has a Unique Minimizer

2021 ◽  
Vol 74 (3) ◽  
pp. 615-675
Author(s):  
Matthias Erbar ◽  
Martin Huesmann ◽  
Thomas Leblé
Keyword(s):  
Free Energy ◽  
Unique Minimizer ◽  
One Dimensional ◽  
The One

scholarly journals On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit

2012 ◽  
Vol 5 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Toyohiko Aiki ◽  
◽  
Martijn Anthonissen ◽  
Adrian Muntean ◽  
◽  
...  
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
One Dimensional ◽  
Dimensional Shape ◽  
Temperature Activation

“Soviet mentality?” The role of shared political culture in relations between the Armenian state and Russia's Armenian diaspora

2013 ◽  
Vol 41 (5) ◽  
pp. 709-729 ◽  
Author(s):  
Kristin Cavoukian
Keyword(s):  
Soviet Union ◽  
Political Culture ◽  
Community Organization ◽  
The Soviet Union ◽  
Armenian Diaspora ◽  
The Difference ◽  
The One ◽  
Management Institutions ◽  
The Relationship

Russia's Armenians have begun to form diaspora institutions and engage in philanthropy and community organization, much as the pre-Soviet “established” diaspora in the West has done for years. However, the Russian Armenian diaspora is seen by Armenian elites as being far less threatening due to a shared “mentality.” While rejecting the mentality argument, I suggest that the relationship hinges on their shared political culture and the use of symbols inherited from the Soviet Union in the crafting of new diaspora and diaspora-management institutions. Specifically, “Friendship of the Peoples” symbolism appears to be especially salient on both sides. However, the difference between old and new diasporas may be more apparent than real. The Russian Armenian diaspora now engages in many of the same activities as the Western diaspora, including the one most troublesome to Armenia's elites: involvement in politics.

Bridging the Gap Between Expectations and Teaching on the Field Practice: Instituto Franklin-UAH as Intercultural Mediator for Language Assistants in Spain

2019 ◽  
Vol 1 (1) ◽  
pp. 117-152
Author(s):  
Iulia Vescan ◽  
Bianca Vitalaru
Keyword(s):  
Basic Research ◽  
Communication Process ◽  
Academic Difficulties ◽  
Lead Teachers ◽  
Bilingual Teaching ◽  
Field Practice ◽  
Bilingual Schools ◽  
The Difference ◽  
The One

Basic research has shown that some differences between educational aspects of Spanish and American culture, such as perceptions about on roles, attitudes, communication, teaching methods and even expectations, can manifest into actual academic difficulties for American Language Assistants in Spanish bilingual schools. This paper will focus on describing the elements that, when analyzed, outline the role of Instituto Franklin-UAH as an intercultural and academic mediator between two cultures and education systems (Spain and US) and the context that justifies the different measures taken to attend to the particular needs or circumstances of the agents involved (students, teachers and academic advisors). Two perspectives will be included: a) a historical one, related to Instituto Franklin-UAH’s background and context related to bilingual teaching; b) an analytical one, focusing, on the one hand, on the perception of the agents involved and, on the other hand, on the actions that have turned Instituto Franklin-UAH into an actual mediator between its students and the schools where they act as Language Assistants. Ultimately, the paper underlines the difference in terms of the perception of the same aspects by the groups involved and the need for measures to improve the communication process between American LAs and Spanish lead teachers in bilingual schools.

Limit theorems and absorption problems for quantum radom walks in one dimension

2002 ◽  
Vol 2 (Special) ◽  
pp. 578-595
Author(s):  
N. Konno
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
The Other ◽  
One Dimension ◽  
Unitary Matrices ◽  
Quantum Random Walks ◽  
One Dimensional ◽  
The Difference ◽  
The One

In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by $2 \times 2$ unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.

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