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Boundary integral ”equation” methods for the Signorini-Fichera problem. (English) Zbl 0599.73117

Boundary Elem. 7, vol. 2, exp. No. 12, 73-83 (1985).
In the present paper we formulate for the Signorini-Fichera problem a direct and an indirect integral ”equation” method. Due to the unilateral character of the BVP we cannot apply the same procedure as for the classical BVPs in elasticity. As a result we obtain multivalued integral equations termed also integral inclusions, both in the direct and in indirect approach. Note that both approaches retain for the Signorini- Fichera BVP only a few of their characteristics as we know them in the case of the classical BVPs of elastostatics.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74S99 Numerical and other methods in solid mechanics