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A B C D E F G H I J K L M N O P
Packaged units, specification of, Packing characteristic, in cooling towers, Packings, for cooling towers Packings, for fixed beds: Packinox heat exchanger, Paints, spectral characteristics of reflectance of surfaces treated with, Palen, J W Panchal, C B, Paraffins, normal and isonormal: Paraldehyde: Parallel channel instability, in condensers, Partial boiling in subcooled forced convective heat transfer, Participating media, radiation interaction in, Particle convective component, in heat transfer from fluidized beds, Particle emissivity, Particle Reynolds number in fixed beds, Particles: Particulate fluidization, Particulate fouling, Pass arrangements, in plate heat exchangers, Passes, tube side, Passive methods, for augmentation of heat transfer, passive systems for: PD5500 mechanical design of shell-and-tube heat exchangers to, Peacock, D K, Pearson number, Peclet number Peng-Robinson equation of state, application to hydrocarbons, Penner's rule, in absorption of radiation by gases, Pentachloroethane (Refrigerant 120): Pentadecane: Pentadecene: Pentadiene 1, 2: Pentadiene 1, trans 3: Pentadiene 1, 4: Pentadiene 2-3: Pentafluoroethane (Refrigerant 125) Pentamethylbenzene: Pentane: Pentanoic acid: 1-Pentanol: 1-Pentene: cis-2-Pentene: trans-2-Pentene: Pentylacetate: Pentylbenzene: Pentylcyclohexane: Pentylcyclopentane: Pentylcyclopropane, liquid properties, Perforated fins, in plate fin heat exchangers, Perforated plates, loss coefficients in, Periodic operation, of regenerator, Periodic variations in temperature, thermal conduction in bodies with, PFR correlation, for heat transfer in high fin tube banks, Pharmaceutical industry, fouling of heat exchangers in, Phase change materials, in augmentation of heat transfer, Phase change number, Phase equilibrium: Phase inversion Phase separation, as source of corrosion problems, Phenol: Phenols: Phenylhydrazine: Phonons, in thermal conductivity of solids, Phosgene: Physical properties: Pi theorum, in dimensional analysis, Pinch analysis, for heat exchanger network design, Pioro, I L Pioro, LS, Pipe leads, Piperidine: Pipes, circular: Pipes, noncircular: Piping components: Pitting corrosion, in stainless steels, Planck's constant, Planck's law, for spectral distribution of blackbody radiation, Plane shells, steady-state thermal conduction in, Plastic deformation Plate fin heat exchangers Plate fins, efficiency, Plate heat exchangers: Plate evaporator Plates: Plug flow: Plug flow model, for furnaces, Pneumatic conveyance, Pneumatic conveying dryer, P-NTU method: Polarization, of thermal radiation, Polyglycols, as heat transfer media, Polymers: Pool boiling, Porous surfaces: Port arrangements, in plate heat exchangers, Portable fouling unit, Poskas, P, Postdryout heat transfer: Powders: Power law fluid (non-Newtonian), Power plant: Prandtl number Precipitation (crystallization) fouling, Precipitation hardening, of stainless steels, Pressure coefficient: Pressure control of condensers, Pressure drop: Pressure gradient: Pressure, specification of in mechanical design to EN13445, Pressure testing, Pressure vessels, principle codes for, Pressurised water reactor, fouling in, Printed circuit heat exchanger, Problem table algorithm, in pinch analysis, Process heaters: Progressive plastic deformation Prolate spheroids, free convective heat transfer from, Promoters, in dropwise condensation, Propadiene: Propane: 1-Propanol: 2-Propanol: Propeller agitator, Property ratio method, for temperature dependent physical property Propionaldehyde: Propionic acid: Propionic anhydride: Proprionitrile: Propyl acetate: Propylamine: Propylbenzene: Propylcyclohexane: Propylcyclopentane: Propylene: 1,3-Propylene glycol: Propylene oxide: Propyl formate: Propyl propionate: Pseudo-boiling in supercritical fluids, Pseudo-film boiling in supercritical fluids, Pseudocritical pressure, Pseudocritical tempertaure, Pugh, S F Pulp and paper industry, fouling of heat exchangers in, Pulsations, use in augmentation of heat transfer, Pulverized fuel water-tube boiler, Pumping, lost work in, Pushkina and Sorokin correlation, for flooding in vertical tubes, Pyramid, free convective heat transfer from, Pyridine:
Q R S T U V W X Y Z

Elastic Properties of Solids

DOI 10.1615/hedhme.a.000531

5.5 PHYSICAL PROPERTY DATA TABLES
5.5.8 Elastic properties of solids

Comparison of the values for an elastic property of a particular metal or alloy quoted in the various data books and published in original papers indicates a remarkably wide spread. For any given material, values differing by 20% are quite common. Therefore any calculation using elastic properties as input data should explicitly declare the values that have been taken.

The sources of error in measurement of clastic properties arise partly from difficulties in measurement of clastic strain. The quantity to be measured is at most a few parts per thousand changes in length and to be measured with two to three figure accuracy. Other sources of error are more fundamental. For example, in the preparation of specimens for measurement of elastic properties, a certain degree of preferred orientation of the individual grains is introduced, thus affecting the properties in the ways described in Section 522. It should also be realized that data for isotropic material may not best represent the properties of components that might have developed preferred orientation of the grains during fabrication. Finally, both at room temperature and to a greater extent at elevated temperatures and at high stress levels stress-strain response of a specimen is time dependent and structure sensitive.

Where high accuracy is required as for example, in attempting to understand the performance of a particular fabricated heat exchanger, the best procedure would be to measure the elastic properties on samples of the actual materials at the appropriate temperature and strain rate.

Table 1 and Table 2 show single crystal clastic coefficients for hexagonal and cubic metals, respectively (Tang et al., 1969 and Smithells, 1967). They are included here to indicate the extent to which elastic anisotropy can be expected in wrought polycrystalline materials with preferred orientation of the grains.

Table 1 Single crystal clastic constants of some hexagonal metals in gigapascals a

a From Tang et al. (1969). (Giga = 109.)
bC = C11 + C12 + 2C33 – 4C13
MetalShear constants
C11C33 C12 C13 C44 C66C b/6
Beryllium299 342 28 11 166 136161
Zinc161 66 34 50 40 6321
Magnesium57 62 23 19 17 1721
Zirconium144 165 73 65 33 3647
Titanium163 180 93 62 47 3562
Cadmium115 51 40 40 20 3816

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