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linear thermal expansion

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Published: 01 December 1995
Fig. 27-6 Mean coefficient of linear thermal expansion from 70 °F (21 °C) as a function of temperature for cast corrosion-resistant stainless steels ( 11 ) More
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Published: 01 December 1995
Fig. 27-7 Mean coefficient of linear thermal expansion as a function of temperature for cast heat-resistant high alloy steels ( 10 ) More
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Published: 01 July 2009
Fig. 4.19 Linear thermal properties. (a) Recommended thermal linear expansion curves for beryllium based on a large number (38) of investigations. The vertical axes from left to right are for polycrystalline material and for single crystals parallel to the a-axis and c-axis, respectively More
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Published: 01 July 2009
Fig. 4.18 Thermal linear expansion relative to 293 K of polycrystalline beryllium and of a beryllium single crystal parallel to the a-axis and c-axis, respectively. MP, melting point; TP (cph-bcc), transition temperature. Source: Touloukian, Powell, et al. 1975 More
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2008
DOI: 10.31399/asm.tb.fahtsc.t51130541
EISBN: 978-1-62708-284-6
... Abstract This appendix is a collection of tables listing coefficients of linear thermal expansion for carbon and low-alloy steels, presenting a summary of thermal expansion, thermal conductivity, and heat capacity; and listing thermal conductivities and specific heats of carbon and low-alloy...
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Published: 01 August 2005
Fig. 7.2 The normalized tensile strength, σ t / E , plotted against coefficient of linear thermal expansion, α. The contours show a measure of the thermal shock resistance, Δ T . Corrections must be applied for constraint and to allow for the effect of thermal conduction during quenching More
Series: ASM Technical Books
Publisher: ASM International
Published: 01 April 2004
DOI: 10.31399/asm.tb.ps.t62440243
EISBN: 978-1-62708-352-2
... and Symbols A A BGA c C CSP CTE DCA DNL E F G G H HAZ g h K K k M MEMS MCM ppm P PADS PCB PTFE Q R RH atomic weight area ball grid array crack length concentration chip-scale package coefficient of thermal (linear) expansion; see also direct chip attach dip-and-look test internal energy or Young s modulus...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1995
DOI: 10.31399/asm.tb.sch6.t68200404
EISBN: 978-1-62708-354-6
... thermal expansion, α, are μin./(in. °F) or μm/(m °K) (Note: μ = micro = 10 −6 ). Carbon, Low Alloy and Austenitic Manganese Steels The mean coefficients of linear thermal expansion for several cast carbon and low alloy steels are shown in Table 27-7 . Similar data are presented for standard...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ems.t53730161
EISBN: 978-1-62708-283-9
... Abstract This appendix contains a table listing density, thermal conductivity, linear expansion, electrical resistivity, and Young's modulus of various materials. density electrical resistivity linear expansion thermal conductivity Young's modulus Elementary Materials Science...
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
.... Figure 3.3 Potential energy between two atoms vs. the interatomic distance. In general, the length of a specimen is a smooth function of temperature, L ( T ), with the normalized derivative defined as the coefficient of linear thermal expansion , α , or (3.1) α ( T ) = 1 L d L...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2001
DOI: 10.31399/asm.tb.aub.t61170587
EISBN: 978-1-62708-297-6
... Abstract This article discusses the role of alloying in the production and use of low-expansion alloys such as iron-nickel (Invar), iron-nickel-chromium (Elinvar), and iron-nickel-cobalt (Super-Invar and Kovar). It explains how the coefficient of thermal expansion varies with nickel content...
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Published: 01 August 2018
Fig. 10.57 Dilatometry measurements of the linear expansion (length change) of a steel slowly and rapidly cooled. During slow cooling the volume change associated with austenite decomposition happens at high temperatures, when the material is very ductile and has lower yield strength. Stresses More
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Published: 01 August 2005
Fig. 4.4 An Ashby materials selection chart. The linear expansion coefficient, α, plotted against the thermal conductivity, λ. The contours show the thermal distortion parameter λ/α. More
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Published: 01 April 2004
Fig. 4.8 An Ashby materials selection chart. The linear expansion coefficient, α, plotted against the thermal conductivity, λ. The contours show the thermal distortion parameter λ/α. More
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Published: 01 June 1983
Figure 3.10 Linear variable differential transformer (LVDT) for inductive measurement of thermal expansion. More
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780115
EISBN: 978-1-62708-281-5
... analysis, thermomechanical analysis, and rheological analysis. The basic thermal properties covered include thermal conductivity, temperature resistance, thermal expansion, specific heat, and the determination of glass-transition temperatures. The article further describes various factors influencing...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.bcp.t52230027
EISBN: 978-1-62708-298-3
... Heat of transformation (α to β), cal/g · atom 1.80 Entropy (25 °C), cal/g · atom 2.28 Thermal conductivity, W/m · °C 216 Thermal diffusivity (room temperature), m 2 /h 0.18 Temperature coefficient of linear expansion, × 10 –6 /°C 11.3 (0–50 °C) Temperature coefficient of resistivity...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2008
DOI: 10.31399/asm.tb.fahtsc.t51130001
EISBN: 978-1-62708-284-6
.... Because it cannot, it is necessary to learn to design with it (Ref 6) . Almost all solids expand on heating. As the temperature is raised, the thermal vibration pushes the atoms apart, increasing their mean spacing. The effect is measured by the linear expansion coefficient: (Eq 6) α = 1 L...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860001
EISBN: 978-1-62708-348-5
... interatomic potentials, equations of state, and phonon spectra. They link thermodynamically with specific heat, thermal expansivity, the Debye temperature, and Grüneisen’s constant. In engineering design, they appear in calculations for load deflection, residual stress, thermoelastic stress, fracture...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780295
EISBN: 978-1-62708-281-5
... to the development of thermal stresses. Thermal Expansion Thermal expansion can be defined in a number of ways ( Ref 5 ): Specific thermal expansivity, in which e = ∂ v /∂ T ) p in units of cm 3 /g · °C Volume CTE, in which α = 1/ v (∂ v /∂ T ) p in units of 1/°C Linear CTE, in which β = 1/ L...