Geodesic
Contact between elastic perfectly plastic bodies
Applications of Mathematics, Tome 27 (1982) no. 1, pp. 27-45
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If the material of the bodies is elastic perfectly plastic, obeying the Hencky's law, the formulation in terms of stresses is more suitable than that in displacements. The Haar-Kármán principle is first extended to the case of a unilateral contact between two bodies without friction. Approximations are proposed by means of piecewise constant triangular finite elements. Convergence of the method is proved for any regular family of triangulations.
If the material of the bodies is elastic perfectly plastic, obeying the Hencky's law, the formulation in terms of stresses is more suitable than that in displacements. The Haar-Kármán principle is first extended to the case of a unilateral contact between two bodies without friction. Approximations are proposed by means of piecewise constant triangular finite elements. Convergence of the method is proved for any regular family of triangulations.
DOI : 10.21136/AM.1982.103943
Classification : 49D37, 49M37, 73T05, 74A55, 74M15, 74S05
Keywords: elastic perfectly plastic; Hencky’s law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear 
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Haslinger, Jaroslav; Hlaváček, Ivan. Contact between elastic perfectly plastic bodies. Applications of Mathematics, Tome 27 (1982) no. 1, pp. 27-45. doi: 10.21136/AM.1982.103943

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[1c] J. Haslinger I. Hlaváček: Contact between elastic bodies. III. Dual finite element analysis. Apl. mat. 26 (1981), 321-344. | MR

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