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thermal vibration model

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320013
EISBN: 978-1-62708-357-7
... Abstract This chapter describes the basics of energy and entropy and “free energy.” Fundamentals of internal energy U , the enthalpy H , entropy S , free energies G , and F of a substance are presented. The chapter also presents the thermal vibration model to promote a better...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860001
EISBN: 978-1-62708-348-5
.../14786440708520599 Barron T. H. K. and Klein M. L. (1962) . Thermal and elastic properties of crystals at low temperatures. Phys. Rev . 127 , 1997 – 1998 . 10.1103/PhysRev.127.1997 Barron T. H. K. and Klein M. L. (1963) . On the strain dependence of the vibrational...
Book Chapter

By L. L. Sparks
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860047
EISBN: 978-1-62708-348-5
... applications. This, along with scientific interest in the caloric behavior of polymers, has led to substantial theoretical and experimental attention. Genensky and Newell (1957) used the Born-von Karman model and analytical approximations to develop a frequency distribution for phonon vibrations...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240303
EISBN: 978-1-62708-251-8
... v ), while the other is at constant external pressure ( C p ). The magnitude of C p is always greater than C v ; however, the difference is very slight for most solid materials at room temperature and below. In solid metals, thermal energy causes an increase in the vibrational energy...
Book Chapter

By A. F. Clark
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860075
EISBN: 978-1-62708-348-5
... and aluminum. Figure 3.25 Deviation of the ratio of thermal expansion to thermal expansion coefficient for various metals and alloys from that of copper as a function of temperature. Figure 3.28 Series (a) and parallel (b) models for calculating the thermal expansion of composites...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060001
EISBN: 978-1-62708-343-0
... mechanical model is sketched in Fig. 1.1(a) . Physicists may regard this simplistic model as unnecessary. However, it is a helpful analogy for engineers to grasp the macroscopic causes and effects due to thermally activated creep. A ball, representing an atom of mass m , sits in a trough with troughs...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2023
DOI: 10.31399/asm.tb.stmflw.t59390064
EISBN: 978-1-62708-459-8
..., and the role of elastic deflection and ultrasonic vibration. adsorption boundary lubrication elastohydrodynamic lubrication frictional instabilities hydrodynamic lubrication lubricant entrainment lubrication regimes mixed lubrication plastohydrodynamic lubrication Reynolds equation Stribeck...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320055
EISBN: 978-1-62708-357-7
... vibration of A and B atoms is assumed to be irrelevant to the existence of the other component atom. This model was presented by Bragg, Williams, and Gorsky to analyze the ordering phenomena in solid solutions, and it is called the B-W-G model (see Chapter 7 “Thermodynamics of Ordering” ). This model...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060231
EISBN: 978-1-62708-343-0
... and Cyclic Stress-Strain Response Scale Model Combustor Liner Judicious Placement of Cooling Air Aeronautical Gas Turbine Engine Components Thermal Fatigue of Combustor Liner Example Space-Based Pressure Vessel Residual (Mean) Stresses Work-Hardening/Ductility Reduction Effects...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2022
DOI: 10.31399/asm.tb.isceg.9781627083324
EISBN: 978-1-62708-332-4
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320167
EISBN: 978-1-62708-357-7
... ( Fig. 6.1 ). Fig. 6.1 Brownian motion and diffusion. Both are transport phenomena according to thermal vibration of atoms or molecules. Most of the microscopic structures of materials are formed by “diffusion.” Therefore, it is no exaggeration to say that phase diagrams are equivalent...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2023
DOI: 10.31399/asm.tb.stmflw.t59390241
EISBN: 978-1-62708-459-8
... in FEA to date, except for simple models. Friction has been discussed in Sec. 3.4 . The thermal model of Liu, et al. [ 32 ] can be used if the lubricant film thickness is known. The opposite approach towards heat has been investigated: some researchers have investigated the application of pulsed...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240063
EISBN: 978-1-62708-251-8
... in liquids is still rapid, it is much slower than in gases, and in solids, it is even slower. In solids, atomic movements are restricted by the crystal lattice. However, thermal vibrations in solids allow atoms to diffuse, and as the temperature increases, the vibrations of the atoms about their equilibrium...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2023
DOI: 10.31399/asm.tb.stmflw.t59390173
EISBN: 978-1-62708-459-8
... various aspects of the theory apply to shape rolling as well. It derives numerous equations and models to help quantify the forces, torque, and power involved in rolling operations and the associated heating, slip, strain distribution, and deformation in both the workpiece and rolls. It describes...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2015
DOI: 10.31399/asm.tb.cpi2.t55030117
EISBN: 978-1-62708-282-2
... are subjected to vibrations of continual expansion and contraction from periodic thermal excursions, the small relative motion between the contacts produces fretting wear and the eventual removal of the gold plate. As the gold is removed, the substrate is subjected to atmospheric corrosion, and the contact...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2011
DOI: 10.31399/asm.tb.cfw.t52860081
EISBN: 978-1-62708-338-6
... helps assure that the damaged cylinder does not interfere with the performance of the undamaged unit. Kinetic Kill Vehicles Figure 7.9 is a picture of a full-scale demonstration model of the Space-Based Interceptor (SABIR) Flight Experiment Propulsion System. This development required two...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060407
EISBN: 978-1-62708-261-7
...–58) 150–450 (22–65) 0.001–10 (0.00015–1.45) High-temperature creep resistance Poor to medium Excellent … Thermal expansion Medium to high Low to medium Very high Thermal conductivity Medium to high Medium, but often decreases rapidly with temperature Very low Thermal shock...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290139
EISBN: 978-1-62708-319-5
... Binder removal occurs in two stages. Pore opening is the first stage, and several options are possible, such as binder sublimation, thermal decomposition, wicking, solvent dissolution, or catalytic depolymerization. Some structures are not saturated with binder, so first-stage removal is skipped...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780089
EISBN: 978-1-62708-281-5
... ). By utilizing mathematical models and the appropriate instrumentation, the total automation of a resin-curing process based on intrinsic material properties should be achieved in the near future ( Ref 165 – 172 ). With appropriate background knowledge of the chemical and thermal behavior of a thermoset, DDA can...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2023
DOI: 10.31399/asm.tb.stmflw.t59390456
EISBN: 978-1-62708-459-8
... . According to the shear model of cutting proposed by Merchant [ 12 ], the chip is formed by shearing closely spaced lamellae. The chip flows up along the rake face of the tool but acquires a curvature and lifts away gradually. Process Geometry and Kinematics In principle, it makes no difference...