Effect of Material Properties on the Stability of Static Thermoelastic Contact

1990 ◽  
Vol 57 (2) ◽  
pp. 365-369 ◽  
Author(s):  
Ronggang Zhang ◽  
J. R. Barber
Keyword(s):  
Heat Flow ◽  
Stability Criterion ◽  
Material Properties ◽  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Steady State Solution ◽  
The Other ◽  
Pressure Perturbation ◽  
Stability Behavior ◽  
The Stability

When heat is conducted across an interface between two different materials, the interaction between thermoelastic distortion and thermal contact resistance can cause the system to be unstable. This paper investigates the influence of material properties on the stability criterion for an interface between two half planes. It is found that most material combinations exhibit one or other of two kinds of stability behavior. In one of these, the stability criterion is closely related to that for uniqueness of the steady-state solution and instability is only possible for one direction of heat flow. In the other, instability can occur for either direction of heat flow and in one case is characterized by the oscillatory growth of a pressure perturbation.

The Effect of Thermal Contact Resistance on Heat Management in a Shuttling PCR System

2013 ◽  
Vol 284-287 ◽  
pp. 1941-1945
Author(s):  
Jyh Jian Chen ◽  
Wei Hua Chen ◽  
Yi Shiang Shie
Keyword(s):  
Pid Controller ◽  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Computer Code ◽  
Reaction Chamber ◽  
Operational Parameters ◽  
Heat Management ◽  
Dna Templates ◽  
Polymerase Chain ◽  
The Stability

A novel shuttling polymerase chain reaction (PCR) system is assembled to make temperature uniform in the reaction chamber. The chamber is oscillated by a servo motor and contacted with three different isothermal zones to complete several thermal cycles. The home-made computer code is utilized to investigate the influences of operational parameters on the temperature inside the chamber. Numerical results show that the contact resistances between the heating blocks and the reaction chamber dominate the temperatures inside the PCR chamber. In this work a PCR system that is composed of the PID controller, the moving stage, three aluminum blocks for three different isothermal zones and a reaction chamber is also developed. Experimental results demonstrated that the stability of this shuttling PCR system is confirmed. And results show that DNA templates provided with the yT&A® cloning vector are amplified successfully in this PCR system.

Soil Heat Flux Plates: Heat Flow Distortion and Thermal Contact Resistance

2007 ◽  
Vol 99 (1) ◽  
pp. 304-310 ◽  
Author(s):  
Thomas J. Sauer ◽  
Tyson E. Ochsner ◽  
Robert Horton
Keyword(s):  
Heat Flux ◽  
Heat Flow ◽  
Contact Resistance ◽  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Soil Heat Flux ◽  
Flow Distortion

Stability of Thermoelastic Contact for the Aldo Model

1981 ◽  
Vol 48 (3) ◽  
pp. 555-558 ◽  
Author(s):  
J. R. Barber
Keyword(s):  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Multiple Steady State ◽  
Imperfect Contact ◽  
One Dimensional ◽  
Thermoelastic Contact ◽  
The Stability ◽  
Contact Pressures ◽  
Steady State Solutions ◽  
Small Separation

A perturbation method is used to investigate the stability of a simple one-dimensional rod model of thermoelastic contact which exhibits multiple steady-state solutions. A thermal contact resistance is postulated which is a continuous function of the contact pressure or separation. It is found that solutions involving substantial separation and/or contact pressures are always stable, but these are separated by unstable “imperfect contact” solutions in which one of the rods is very lightly loaded or has a very small separation. The results can be expressed in terms of the minimization of a certain energy function.

scholarly journals Chaos synchronization of a fractional nonautonomous system

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Zakia Hammouch ◽  
Toufik Mekkaoui
Keyword(s):  
Dynamic Behavior ◽  
Fractional Order ◽  
Chaotic System ◽  
Stability Criterion ◽  
Chaos Synchronization ◽  
Phase Locked Loop ◽  
Numerical Results ◽  
The Other ◽  
Fractional Systems ◽  
The Stability

AbstractIn this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the efiectiveness of the proposed methods

Effects of Thermal Contact Resistance on Transient Thermoelastic Contacts for an Elastic Foundation

2005 ◽  
Vol 72 (6) ◽  
pp. 972-977 ◽  
Author(s):  
Yong Hoon Jang
Keyword(s):  
Steady State ◽  
Contact Resistance ◽  
Thermal Contact Resistance ◽  
Normal Load ◽  
Thermal Contact ◽  
Leading Edge ◽  
Transient Behavior ◽  
Steady State Solution ◽  
State Solution ◽  
Winkler Foundation

The paper presents a numerical solution to the problem of a hot rigid indenter sliding over a thermoelastic Winkler foundation with a thermal contact resistance at constant speed. It is shown analytically that no steady-state solution can exist for sufficiently high temperature or sufficiently small normal load or speed, regardless of the thermal contact resistance. However, the steady-state solution may exist in the same situation if the thermal contact resistance is considered. This means that the effect of the large values of temperature difference and small value of force or velocity which occur at no steady state can be lessened due to the thermal contact resistance. When there is no steady state, the predicted transient behavior involves regions of transient stationary contact interspersed with regions of separation regardless of the thermal contact resistance. Initially, the system typically exhibits a small number of relatively large contact and separation regions, but after the initial transient, the trailing edge of the contact area is only established and the leading edge loses contact, reducing the total extent of contact considerably. As time progresses, larger and larger numbers of small contact areas are established, until eventually the accuracy of the algorithm is limited by the discretization used.

Frictionally Excited Thermoelastic Instability of Functionally Graded Materials Sliding Out-of-Plane With Contact Resistance

2015 ◽  
Vol 83 (2) ◽  
Author(s):  
Jia-Jia Mao ◽  
Liao-Liang Ke ◽  
Yue-Sheng Wang ◽  
Jing Liu
Keyword(s):  
Contact Resistance ◽  
Half Plane ◽  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Functionally Graded ◽  
Thermoelastic Instability ◽  
Contact Stability ◽  
Out Of Plane ◽  
Graded Material ◽  
The Stability

This paper investigates the frictionally excited thermoelastic instability (TEI) of a functionally graded material (FGM) half-plane sliding against a homogeneous half-plane at the out-of-plane direction with the thermal contact resistance. A uniform pressure presses these two half-planes together. The material properties of FGMs are assumed to be varied as an exponential form. Using the perturbation method, we derive the characteristic equation for the TEI problem to solve the unknown critical heat flux and critical sliding speed. The effects of the thermal contact resistance, gradient index, friction coefficient, and heat generation factor on the stability boundaries are discussed for four different material combinations. The results may provide a possible method to improve the contact stability in the sliding system by using FGMs.

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