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Signorini’s problem with friction in linear elasticity

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Abstract

For an elastic body Ω which is contact with a rigid support Γ, we seek a vector fieldu of displacement, under the condition that the body is subjected to volume force and to surface force on a part Γ′ of ϖΩ/Γ in such a manner that the outer normal componentu v ofu is negative or zero on Γ, while the tangential component is a displacement with friction whenu v=0, and the displacementu is given on the remainder Γ″ of ϖΩ/Γ. If Γ″=Ø (non-coercive case), we must impose a condition of compatibility on the external forces.

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Authors and Affiliations

  1. Department of Applied Physics, School of Engineering, Nagoya University, Chikusa-ku, 464, Nagoya, Japan

    Yoshio Kato

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  1. Yoshio Kato
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Kato, Y. Signorini’s problem with friction in linear elasticity. Japan J. Appl. Math. 4, 237 (1987). https://doi.org/10.1007/BF03167776

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  • DOI: https://doi.org/10.1007/BF03167776

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