Geodesic
Contact between elastic bodies. I. Continuous problems
Applications of Mathematics, Tome 25 (1980) no. 5, pp. 324-347
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Problems of a unilateral contact between bounded bodies without friction are considered within the range of two-dimensional linear elastostatics. Two classes of problems are distinguished: those with a bounded contact zone and with an enlargign contact zone. Both classes can be formulated in terms of displacements by means of a variational inequality. The proofs of existence of a solution are presented and the uniqueness discussed.
Problems of a unilateral contact between bounded bodies without friction are considered within the range of two-dimensional linear elastostatics. Two classes of problems are distinguished: those with a bounded contact zone and with an enlargign contact zone. Both classes can be formulated in terms of displacements by means of a variational inequality. The proofs of existence of a solution are presented and the uniqueness discussed.
DOI : 10.21136/AM.1980.103868
Classification : 35P99, 49J40, 73T05, 74A55, 74M15
Keywords: zero friction; small deformations; basic relations; minimum principles for potential energy; conditions which guarantee existence and uniqueness of weak solutions; one-dimensional spaces of rigid virtual displacements 
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Haslinger, Jaroslav; Hlaváček, Ivan. Contact between elastic bodies. I. Continuous problems. Applications of Mathematics, Tome 25 (1980) no. 5, pp. 324-347. doi: 10.21136/AM.1980.103868

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