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Contact problems involving a cooled punch. (English) Zbl 0392.73100


MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
Full Text: DOI

References:

[1] BarberJ. R., Indentation of the semi-infinite elastic solid by a hot sphere, Int. J. Mech. Sci. 15 (1973 813-819. · doi:10.1016/0020-7403(73)90070-2
[2] BarberJ. R., The effect of heat flow on the contact area between a continuous rigid punch and a frictionless elastic half-space, Z. angew. Math. Phys. 27 (1976) 439-445. · Zbl 0346.73005 · doi:10.1007/BF01594900
[3] DundursJ. and PanekC., Heat conduction between bodies with wavy surfaces, Int. J. Heat Mass Transfer 19 (1976) 731-736. · doi:10.1016/0017-9310(76)90125-3
[4] Dundurs, J., Private communication.
[5] WilliamsW. E., A solution of the steady state thermoelastic equations, Z. angew Math. Phys. 12 (1961) 452-455. · Zbl 0152.42901 · doi:10.1007/BF01600692
[6] GreenA. E., On Boussinesq’s problem and penny-shaped cracks, Proc. Cambridge Phil. Soc. 45 (1949) 251-257. · Zbl 0033.02703 · doi:10.1017/S0305004100024804
[7] GreenA. E. and ZernaW., Theoretical Elasticity, Clarendon Press, Oxford (1954) 174-178.
[8] CollinsW. D., On the solution of some axisymmetric boundary value problems by means of integral equations, II Further problems for a circular disc and a spherical cap, Mathematika 6 (1959) 120-133. · Zbl 0099.30502 · doi:10.1112/S0025579300002023
[9] CopsonE. T., On the problem of the electrified disc, Proc. Edinburgh Math. Soc. 8 (1947) 14-19. · doi:10.1017/S0013091500027644
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