Geodesic
Contact between elastic bodies. III. Dual finite element analysis
Applications of Mathematics, Tome 26 (1981) no. 5, pp. 321-344

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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L2$-error estimate is proven provided the exact solution is regular enough.
The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L2$-error estimate is proven provided the exact solution is regular enough.
DOI : 10.21136/AM.1981.103923
Classification : 49A29, 49S05, 65N15, 65N30, 73K25, 73T05, 74A55, 74M15, 74S05, 74S30
Keywords: dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; $L2$- error estimate 
Haslinger, Jaroslav; Hlaváček, Ivan. Contact between elastic bodies. III. Dual finite element analysis. Applications of Mathematics, Tome 26 (1981) no. 5, pp. 321-344. doi: 10.21136/AM.1981.103923
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