Mathematical Modeling of Thermomechanical Stresses of Multilayer Erosion-Resistant Electrode Coatings of Magnetically Controlled MEMS

2015 ◽  
Vol 1753 ◽  
Author(s):  
Sergey Karabanov ◽  
Dmitriy Suvorov ◽  
Gennady Gololobov ◽  
Evgeny Slivkin ◽  
Dmitry Tarabrin
Keyword(s):  
Mathematical Modeling ◽  
Numerical Modeling ◽  
Electric Current ◽  
Layer Thickness ◽  
Local Temperature ◽  
Mems Switches ◽  
Thermal Fields

ABSTRACTThe paper presents the results of numerical modeling of thermomechanical stresses and thermal fields for conditions of erosion-resistant electrode coatings of magnetically controlled MEMS switches with W-Ti-Cu structure at local temperature and electric current influence in axially symmetrical approximation. It is shown that the introduction of titan interlayer (30-100 nm) in the coating with W-Ti-Cu structure results in considerable (more than two times) decrease of internal thermomechanical stresses between layers that increases coating resistance to delamination. It is established that there is an optimum value of Ti layer thickness at which the minimum thermomechanical stresses are provided.

Erosion-Resistant Electrode Coatings of Vacuum and Gas-Discharge Switching Devices

MRS Advances ◽  
2015 ◽  
Vol 1 (17) ◽  
pp. 1177-1182
Author(s):  
Sergey Karabanov ◽  
Dmitry Suvorov ◽  
Gennady Gololobov ◽  
Victor Gurov ◽  
Evgeny Slivkin ◽  
...  
Keyword(s):  
Numerical Modeling ◽  
Electric Current ◽  
Gas Discharge ◽  
Mechanical Stresses ◽  
Local Temperature ◽  
Interlayer Thickness ◽  
Thermal Fields ◽  
Efficiency Assessment ◽  
Intermediate Layers ◽  
Switching Devices

ABSTRACTThe paper presents the results of numerical modeling of thermomechanical stresses and thermal fields for conditions of erosion-resistant electrode coatings of vacuum and gas discharge switching devices with W-Ti-Cu and W-Mo-Cu structures at local temperature and electric current influence in axially symmetrical approximation. The efficiency assessment of intermediate layers introduction by comparison of interlaminar mechanical stresses is carried out. It is shown that introduction of titanium interlayer in the coating with W Cu structure results in considerable (more than two times) decrease of internal thermomechanical stresses between layers that increases coating resistance to delamination. The optimum value of interlayer thickness at which the minimum thermomechanical stresses are provided is determined.

scholarly journals Quantitative Determination of Thermal Fields and Transformation Rates in Rapidly Solidifying Aluminum by Numerical Modeling and In-situ TEM

2015 ◽  
Vol 21 (S3) ◽  
pp. 811-812 ◽  
Author(s):  
Can Liu ◽  
Kai Zweiacker ◽  
Joseph T. McKeown ◽  
Thomas LaGrange ◽  
Bryan W. Reed ◽  
...  
Keyword(s):  
Numerical Modeling ◽  
Quantitative Determination ◽  
In Situ Tem ◽  
Thermal Fields ◽  
Transformation Rates

Corrigendum to “Mathematical modeling of tumor growth in mice following low-level direct electric current” [Math. Comput. Simulation 78 (2008) 112–120]

2018 ◽  
Vol 144 ◽  
pp. 266
Author(s):  
Luis Enrique Bergues Cabrales ◽  
Andrés Ramírez Aguilera ◽  
Rolando Placeres Jiménez ◽  
Manuel Verdecia Jarque ◽  
Héctor Manuel Camué Ciria ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Electric Current ◽  
Direct Electric Current ◽  
Low Level

Micro/Nanotribology of RF MEMS Switches

2004 ◽  
Author(s):  
Steven T. Patton ◽  
Kalathil C. Eapen ◽  
Jeffrey S. Zabinski
Keyword(s):  
Electric Current ◽  
Microelectromechanical Systems ◽  
Rf Mems ◽  
Low Cost ◽  
Operating Conditions ◽  
Great Promise ◽  
Rf Switches ◽  
Mems Switches ◽  
Adhesion Contact ◽  
Rf Mems Switches

Microelectromechanical systems (MEMS) radio frequency (RF) switches hold great promise in a myriad of commercial, aerospace, and military applications. MEMS switches offer important advantages over current electromechanical and solid state technologies including high linearity, low insertion loss, low power consumption, good isolation, and low cost [1–21]. However, there is little fundamental understanding of the factors determining the performance and reliability of these devices. Our previous work investigated fundamentals of hot-switched direct current (DC) gold (Au) contacts using a modified microadhesion apparatus as a switch simulator [1]. Those experiments were conducted under precisely controlled operating conditions in air at MEMS-scale forces with an emphasis on the role of surface forces and electric current on switch performance, reliability, and durability [1]. Electric current had a profound effect on deformation mechanisms, adhesion, contact resistance (R), and reliability/durability. At low current (1–10 μA), asperity creep and switching induced adhesion were the most important observations, whereas, at high current (1–10 mA), lack of adhesion and switch shorting by nanowire formation were prominent [1].

Mathematical modeling of thermal fields inside Fot...

2005 ◽  
Author(s):  
N.N. Smirnov ◽  
O.E. Ivashnyov ◽  
A.E. Kazakova
Keyword(s):  
Mathematical Modeling ◽  
Thermal Fields

Numerical modeling of the spill over an impermeable soil

2012 ◽  
Vol 9 (1) ◽  
pp. 69-71
Author(s):  
S.A. Gilmanov
Keyword(s):  
Mathematical Modeling ◽  
Numerical Modeling ◽  
Point Of View ◽  
Overwhelming Majority ◽  
Technological Equipment ◽  
Hydrodynamic Processes ◽  
The Impact

All kinds of hydrodynamic processes in the overwhelming majority of cases can have adverse consequences from the point of view of ecology and economics.This requires the development of adequate measures to organize the elimination of the consequences of such events. Mathematical modeling of spills has applied importance for the development of technological equipment designed to reduce the impact of consequences of spills and its prevention.

NUMERICAL MODELING OF THE IMPACT OF QUARANTINE MEASURES ON THE DYNAMICS OF THE EPIDEMIOLOGICAL PROCESS BASED ON THE SEIRD MODEL

2021 ◽  
Vol 7 (2) ◽  
pp. 170-187
Author(s):  
Nina I. Eremeeva
Keyword(s):  
Mathematical Modeling ◽  
Numerical Modeling ◽  
Dynamic Models ◽  
Numerical Calculations ◽  
Short Term ◽  
Modeling Tools ◽  
Population Immunity ◽  
Restrictive Measures ◽  
The Impact

The COVID-19 epidemic has once again demonstrated the importance of predicting the development of various processes and calculating the consequences. “How effective is the introduction of strict quarantine measures?” and “Will the quarantine be able to stop the epide­mic?” — these questions still have no clear answer. This article aims to answer these questions using mathematical modeling tools using the SEIRD model, modified to account for the peculiarities of the spread of COVID-19. The SEIRD model belongs to the class of differential dynamic models, which allows quick experimentation to predict the spread of the disease and calculate its influence on the development of certain processes. Based on numerical modeling, the author demonstrates that insufficient quarantine measures provide only a temporary effect. After they end, with an insufficient level of “population immunity”, the epidemic starts growing again, leading to a second morbidity peak. This paper presents numerical calculations to track the duration impact and quarantine measures’ severity on the dynamics of the epidemiological process. The results show that strict restrictive measures are not always effective, and strict short-term measures have less effect than softer, but long-term measures. In addition, the author provides an example of finding the parameters of quarantine measures that ensure fixed limits on the morbidity level during the epidemic.

Nonlinear vibration behavior of a carry current ferromagnetic beam plate under magnetic fields and thermal loads

2020 ◽  
Vol 26 (15-16) ◽  
pp. 1276-1285
Author(s):  
Elham Tahmasebi ◽  
Nariman Ashrafi Khorasani ◽  
Ali Imam
Keyword(s):  
Magnetic Field ◽  
Electric Current ◽  
Eddy Currents ◽  
Nonlinear Differential Equations ◽  
Vibrational Behavior ◽  
Thermal Fields ◽  
Ferromagnetic Plate ◽  
Soft Ferromagnetic ◽  
The Galerkin Method ◽  
The Magnetic Field

In order to study the magnetoelastic instability and natural frequency of a ferromagnetic plate under a magnetic field, different magnetic force models are considered. In the present study, considering more realistic assumptions, new equations for the study of the vibrational behavior of ferromagnetic beam plates carrying the electric current in the magnetic field are presented by employing the theory of Eringen and Maxwell relations. Conclusively, the effects of magnetic traction and thermal fields created by electric current and eddy currents are taken into account. The coupled nonlinear differential equations of the system are separated by the Galerkin method and solved numerically. The numerical results are compared with the results in the literature, and the effect of different parameters on the vibration characteristics of the soft ferromagnetic beam plate is investigated. The results show that the components of the force that are created by magnetic tractions, as well as the assumption of thermal couplings, can significantly change the vibrational behavior of the plates. Also, by increasing the intensity of the electric current and the magnetic field, the amplitude of the oscillations of the plate is increased and instability occurs for certain values of these parameters in the system.

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