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Residual stresses and warp generated by one-sided quench of an epoxy-resin beam

The residual stress and warp produced when an epoxy-resin beam is subjected to one-sided quenching are analyzed theoretically and experimentally

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Abstract

This paper discusses the warp and accompanying residual stress in a rectangular epoxy beam produced by water cooling its lower surface. First, the theoretical values of this warp and residual stress are obtained by the linear-viscoelastic theory. The specimen is then subjected to quenching. The variations in the warp are observed. After quenching, the residual stress is measured by a layer-removal method. The experimental and theoretical results are then compared and discussed.

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Abbreviations

a :

thermal diffusivity, m2/s

a T 0 :

time-temperature shift factor

c :

specific heat, kJ/kg-°C

d :

depth of specimen, mm

E :

Young's modulus, Pa

E r :

relaxation modulus, Pa

G :

universal gas constant, kJ/mol-K

T :

temperature, °C

Tc :

cooling-water temperature, °C

Tg :

glass-transition temperature, °C

Tq :

quenching temperature, °C

Tu :

temperature on the upper surface of beam, °C

T :

reference temperature, °C

t :

time, s

t′ :

reduced time, s

x, y, z :

rectangular coordinates, m

α:

coefficient of thermal expansion, °C−1

ΔH :

activation energy, kJ/mol

∈ σ :

strain due to stress

∈ t :

thermal expansion

∈:

longitudinal strain

∈ L , ∈ U :

longitudinal strain of lower and upper surfaces, respectively

∈ S :

change of strain on the surface of beam

k :

thermal conductivity, W/m-°C

ϱ:

density, kg/m3

κ, κr :

curvature and residual curvature, m−1

σt, σr :

longitudinal thermal stress and longitudinal residual stress, Pa

σ rmax :

maximum residual stress, Pa

References

  1. Muki, R. andSternberg, E., “On Transient Thermal Stress in Viscoelastic Material with Temperature-Dependent Properties,”J. Appl. Mech.,28,193–207 (June 1961).

    MathSciNet  Google Scholar 

  2. Lee, E.H., Rogers, T.G. andWoo, T.C., “Residual Stress in a Glass Plate Cooled Symmetrically from Both Surfaces,”J. Amer. Ceramic Soc.,48,480–487 (Sept. 1965).

    Google Scholar 

  3. Woo, T.C., “Thermal Stress Problems in Glass,”J. Appl. Phys.,39,2082–2087 (March 1968).

    Google Scholar 

  4. Weitsman, Y., “Residual Thermal Stress due to Cool-Down of Epoxy-Resin Composites,”J. Appl. Mech.,46,563–567 (Sept. 1979).

    MATH  Google Scholar 

  5. Miyano, Y., Shimbo, M. andKunio, T., “Viscoelastic Analysis of Residual Stress in Quenched Thermosetting Resin Beams,”Experimental Mechanics,22 (8),310–316 (Aug. 1982).

    Google Scholar 

  6. Christensen, R.M., Theory of Viscoelasticity, Academic Press, 3–9 (1971).

  7. Carslaw, H.S., and Jaeger, J.G., Conduction of Heat in Solids, Oxford at the Clarendon Press, 102–105 (1959).

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Authors and Affiliations

  1. Materials Systems Research Laboratory, Kanazawa Institute of Technology, 7-1 Ogigaoka, Nonoichi, 921, Kanazawa, Japan

    Y. Miyano (Professor)

  2. Department of Mechanical Engineering, Kanazawa Institute of Technology, 7-1 Ogigaoka, Nonoichi, 921, Kanazawa, Japan

    M. Shimbo (Associate Researcher)

  3. Department of Mechanical Engineering, Keio University, Kohoku-ku, 223, Yokohama, Japan

    T. Kunio (Professor)

Authors
  1. Y. Miyano
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  2. M. Shimbo
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  3. T. Kunio
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Miyano, Y., Shimbo, M. & Kunio, T. Residual stresses and warp generated by one-sided quench of an epoxy-resin beam. Experimental Mechanics 24, 75–80 (1984). https://doi.org/10.1007/BF02323210

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  • DOI: https://doi.org/10.1007/BF02323210

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