Integral numerical technique for the study of axially symmetric resonant devices

1989 ◽  
Vol 37 (11) ◽  
pp. 1814-1816
Author(s):  
J. Ruiz ◽  
M.J. Nunez ◽  
A. Navarro ◽  
E. Martin
Keyword(s):  
Numerical Technique ◽  
Axially Symmetric

On the Analysis of Residual Stresses Introduced in Sheet Metals by Thermal Shock Treatment

1976 ◽  
Vol 43 (1) ◽  
pp. 117-123 ◽  
Author(s):  
T. R. Hsu ◽  
S. R. Trasi
Keyword(s):  
Residual Stresses ◽  
Thermal Shock ◽  
Theoretical Study ◽  
Numerical Technique ◽  
Iteration Scheme ◽  
Plasticity Theory ◽  
Shock Treatment ◽  
Axially Symmetric ◽  
Specific Distribution ◽  
Thin Metal Sheet

This paper presents a theoretical study of the residual stresses in a thin metal sheet with a circular hole subjected to an axially symmetric thermal shock over a concentric annular area. Quasi-static, uncoupled, thermoelastoplasticity theory incorporating the postulates of incremental plasticity theory is employed. The solution is sought through a numerical technique incorporating an iteration scheme and numerical integration. Several numerical examples are considered for a specific distribution and duration of the thermal shock and some optimization considerations are discussed.

EPR Spectra of VO2+ Doped Ammonium Oxalate Monohydrate Single Crystals

1999 ◽  
Vol 54 (6-7) ◽  
pp. 370-374 ◽  
Author(s):  
B. Karabulut ◽  
R. Tapramaz
Keyword(s):  
Single Crystal ◽  
Single Crystals ◽  
Room Temperature ◽  
Numerical Technique ◽  
Ammonium Oxalate ◽  
Epr Spectra ◽  
Trial And Error ◽  
Spin Hamiltonian ◽  
Axially Symmetric ◽  
Hamiltonian Parameters

Abstract The EPR spectra of VO2+ ions in ammonium oxalate monohydrate, [(NH 4)2C2O4-H2O], single crystals have been studied at room temperature and at 113 K in mutually three perpendicular planes. The spin Hamiltonian parameters are determined using a numerical technique together with a trial and error procedure to resolve the single crystal spectra. The parallel and perpendicular components of axially symmetric g and hyperfine tensors for VO2+ ion in ammonium oxalate monohydrate single crystal are determined, and the results are discussed.

Solar Internal Rotation and Dynamo Waves: A Two-Dimensional Asymptotic Solution in the Convection Zone

2000 ◽  
Vol 179 ◽  
pp. 379-380
Author(s):  
Gaetano Belvedere ◽  
Kirill Kuzanyan ◽  
Dmitry Sokoloff
Keyword(s):  
Magnetic Field ◽  
Asymptotic Solution ◽  
Internal Rotation ◽  
Convection Zone ◽  
General Idea ◽  
Dynamo Model ◽  
Axially Symmetric ◽  
Dynamo Action ◽  
Regeneration Rate ◽  
Dynamo Waves

Extended abstractHere we outline how asymptotic models may contribute to the investigation of mean field dynamos applied to the solar convective zone. We calculate here a spatial 2-D structure of the mean magnetic field, adopting real profiles of the solar internal rotation (the Ω-effect) and an extended prescription of the turbulent α-effect. In our model assumptions we do not prescribe any meridional flow that might seriously affect the resulting generated magnetic fields. We do not assume apriori any region or layer as a preferred site for the dynamo action (such as the overshoot zone), but the location of the α- and Ω-effects results in the propagation of dynamo waves deep in the convection zone. We consider an axially symmetric magnetic field dynamo model in a differentially rotating spherical shell. The main assumption, when using asymptotic WKB methods, is that the absolute value of the dynamo number (regeneration rate) |D| is large, i.e., the spatial scale of the solution is small. Following the general idea of an asymptotic solution for dynamo waves (e.g., Kuzanyan & Sokoloff 1995), we search for a solution in the form of a power series with respect to the small parameter |D|–1/3(short wavelength scale). This solution is of the order of magnitude of exp(i|D|1/3S), where S is a scalar function of position.

Unstable axially symmetric mhd flow between rotating boundaries

2001 ◽  
Vol 7 (2s) ◽  
pp. 19-25
Author(s):  
A.A. Loginov ◽  
◽  
Yu.I. Samoilenko ◽  
V.A. Tkachenko ◽  
◽  
...  
Keyword(s):  
Mhd Flow ◽  
Axially Symmetric

A Novel Approach for Thermomechanical Analysis of Stationary Rolling Tires within an ALE–Kinematic Framework

2013 ◽  
Vol 41 (3) ◽  
pp. 174-195 ◽  
Author(s):  
Anuwat Suwannachit ◽  
Udo Nackenhorst
Keyword(s):  
Constitutive Model ◽  
Numerical Solutions ◽  
Numerical Technique ◽  
Thermomechanical Analysis ◽  
Rolling Contact ◽  
Computational Technique ◽  
Heat Equations ◽  
Arbitrary Lagrangian Eulerian ◽  
Material Particle ◽  
Operator Split

ABSTRACT A new computational technique for the thermomechanical analysis of tires in stationary rolling contact is suggested. Different from the existing approaches, the proposed method uses the constitutive description of tire rubber components, such as large deformations, viscous hysteresis, dynamic stiffening, internal heating, and temperature dependency. A thermoviscoelastic constitutive model, which incorporates all the mentioned effects and their numerical aspects, is presented. An isentropic operator-split algorithm, which ensures numerical stability, was chosen for solving the coupled mechanical and energy balance equations. For the stationary rolling-contact analysis, the constitutive model presented and the operator-split algorithm are embedded into the Arbitrary Lagrangian Eulerian (ALE)–relative kinematic framework. The flow of material particles and their inelastic history within the spatially fixed mesh is described by using the recently developed numerical technique based on the Time Discontinuous Galerkin (TDG) method. For the efficient numerical solutions, a three-phase, staggered scheme is introduced. First, the nonlinear, mechanical subproblem is solved using inelastic constitutive equations. Next, deformations are transferred to the subsequent thermal phase for the solution of the heat equations concerning the internal dissipation as a source term. In the third step, the history of each material particle, i.e., each internal variable, is transported through the fixed mesh corresponding to the convective velocities. Finally, some numerical tests with an inelastic rubber wheel and a car tire model are presented.

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