Thermoelastic analysis

Nairn, J.A. (1985). Thermoelastic analysis of residual stresses in unidirectional high-performance composites. Polym. Composites 6, 123-130. 

I. C. Sheng and Y. Chen, Thermoelastic Analysis for a Semi-Infinite Plane Subjected to a Moving Gaussian Heat Source, J. Thermal Stresses, 14, pp. 129-141,1991. 

Lara-Curzio, E. and Stemstein, S. (1993) Thermoelastic analysis of composite CVD SiC fibers. Comp. Sci. Technol., 46 265-275. 

Wikstrdm, A., Gudmundson, P. and Suresh, S. (1999a), Thermoelastic analysis of periodic thin lines deposited on a substrate. Journal of the Mechanics and Physics of Solids 47, 1113-1130. 

Case I Thermoelastic Analysis I Boiler Case II Thermoplastic Analysis I... 

S. Motakef, A.F. Witt, 1987, Thermoelastic analysis of GaAs in LEG growth configuration 1. Effect of liquid encapsulation on thermal stresses , J. Cryst. Growth 80, 37-50. 

S. S. Jordan, R. Camso, and A. R. von Neida, 1980, A thermoelastic analysis of dislocation generation in pulled GaAs crystals . Bell Syst. Tech. J. 59, 593-637. 

R reflects the resistance of the material to a severe thermal shock. We then have AT, = Rf(v). The second parameter, called R , is introduced for describing relatively weaker shocks (low Biot number) and is defined by R = kR. R and R are the two characteristics of the material governing the resistance to thermal shocks, assuming that the thermoelastic analysis prevails. 

Values of the dipole moment ratio of PNS are obtained from dielectric measurements. From thermoelastic experiments, performed on polymer networks, the temperature coefficient of the unperturbed dimensions is determined. Analysis of these results using the RIS model is performed leading to the parameters given above. 

Thus, this consideration shows that the thermoelasticity of the majority of the new models is considerably more complex than that of the phantom networks. However, the new models contain temperature-dependent parameters which are difficult to relate to molecular characteristics of a real rubber-elastic body. It is necessary to note that recent analysis by Gottlieb and Gaylord 63> has demonstrated that only the Gaylord tube model and the Flory constrained junction fluctuation model agree well with the experimental data on the uniaxial stress-strain response. On the other hand, their analysis has shown that all of the existing molecular theories cannot satisfactorily describe swelling behaviour with a physically reasonable set of parameters. The thermoelastic behaviour of the new models has not yet been analysed. 

Several issues must be addressed. First, the heat-transfer environment must yield a well-controlled temperature field in the crystal and melt near the melt-crystal interface so that the crystallization rate, the shape of the solidification interface, and the thermoelastic stresses in the crystal can be controlled. Low dislocation and defect densities occur when the temperature gradients in the crystal are low. This point will become an underlying theme of this chapter and has manifestations in the analysis of many of the transport processes described here. 

Jordan et al. (100) refined the thermoelastic stress calculation for the analysis of the spatial distribution of dislocations in GaAs grown with the LEC method. Their analysis was based on a two-dimensional model for the... 

A mathematical analysis of pressure waves created by thermoelastic expansion of brain matter showed that the sound pressure required for human subjects to barely perceive microwave pulses is about the same as the known minimum audible sound pressure for bone conduction (1 3,27). The frequency of sound provides another line of evidence. It was shown that the fundamental frequency of sound is given by... 

As a first incursion into the thermomechanical analysis of the problem, we present recent results [57] in which only thermoplastic effects are accounted for. The related temperature variations appear larger than those from thermoelastic effects, and are expected to be of major importance in the competition between shear yielding and crazing. The influence of thermoelastic effects will be briefly discussed at the end of this section. 

The methods developed in this book can also provide input parameters for calculations using techniques such as mean field theory and mesoscale simulations to predict the morphologies of multiphase materials (Chapter 19), and to calculations based on composite theory to predict the thermoelastic and transport properties of such materials in terms of material properties and phase morphology (Chapter 20). Material properties calculated by the correlations presented in this book can also be used as input parameters in computationally-intensive continuum mechanical simulations (for example, by finite element analysis) for the properties of composite materials and/or of finished parts with diverse sizes, shapes and configurations. The work presented in this book therefore constitutes a "bridge" from the molecular structure and fundamental material properties to the performance of finished parts. 

Holzapfel WB (1996) Physics of solids under strong compression. Reports Progress Phys 59 29-90 Jackson I and Rigden SM (1996) Analysis of P-V-T data-Constraints on the thermoelastic properties of high pressure minerals. Phys Earth Planet Int 96 85-112 Jeanioz R (1988) Universal equation of state. Phys Rev B 38 805-807 Kumar M (1995) High pressure equation of state for solids. Physica B 212 391-394 Kumar M and Bedi SS (1996) A comparative study of Birch and Kumar equations of state under high pressure. Phys Stat Sol B 196 303-307... 

Kerner [104] made the first sophisticated analysis of thermoelastic properties of composite media using a model which had been considered earlier by van der Poel for calculation of the mechanical properties of composite materials. Here the dispersed phase has been assumed for spherical particles. Kemer s model accounts for both the shear and isotactic stresses developed in the component phases and gives for the composite ... 

This problem can be overcome with the combined use of established probabilistic design methods developed for brittle structural components, good thermoelastic and thetmomechanical databases of the candidate oxide material comprising the TE device, and iteratively applied design sensitivity analysis. Therefore, the objective of this work is to demonstrate the use of a probabilistic... 

In choosing the phenomena, we hypothesized that phenomena related to temperature would be more problematic than elastic properties when temperature is not put into play. This second hypothesis can be seen as preliminary to a third one, that the model will seem more useful to students for explaining thermoelastic properties, so then they will use it more than for (studying) elastic properties. The analysis of the data is in accordance with the second hypothesis, but we didn t observe the expected effect related to the third hypothesis. We now consider that the questions we chose were not sufficient for students to feel the need of such a model and use it more than alternative phenomenological types of explanation. We have to remember that a major quality of the particulate model is its unifying power. Establishing this characteristic on a secure basis is a long process ... 

Earl JS, Dulieu-Barton JM, Shenoi RA (2003) Determination of hygrothermal ageing effects in sandwich construction joints using thermoelastic stress analysis. Compos Sci Technol 63 (2) 211-223... 

McCrum [213, 214] recently suggested that the above approach is subject to large errors and based on an irrational premiss. He proposed a new method of thermoviscoelasticity . Smith and Mark [215] have demonstrated McCrum s analysis to be flawed and have shown that the classical thermoelasticity approach is soundly based on theory. Indeed, there is excellent agreement between thermoelastic and viscometric results for poly(l-pentene) [206, 211], polyethylene [151, 154, 155, 211, 216], poly(dimethyl siloxane) [205, 211, 217], poly(ethylene oxide) [211, 218], poly (isobutylene) [207, 211, 216, 219] and poly(H-butyl methacrylate) [220, 221] (Table 6). 

Uiis study is solely an analysis of the thermal behaviour of face seals during start up independently of ring distortions. This is quite unrealistic, since it supposes thermal expansion coefficient of the materials small enough to be neglected. However this work is an exploratory analysis and the THD model is preliminary to a more complete TEHD-2D model which will take into account the thermoelastic distortions of the rings. 

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