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Contact between elastic bodies. III. Dual finite element analysis. (English) Zbl 0513.73088


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
49S05 Variational principles of physics
74S30 Other numerical methods in solid mechanics (MSC2010)
65N15 Error bounds for boundary value problems involving PDEs
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References:

[1] Haslinger J., Hlaváček I.: Contact between elastic bodies. I. Continuous problems. Apl. mat. 25 (1980), 324-347. II. Finite element analysis. Apl. mat. 26. (1981), 263-290. · Zbl 0449.73117
[2] Céa J.: Optimisation, théorie et algorithmes. Dunod, Paris 1971. · Zbl 0211.17402
[3] Watwood V. B., Hartz B. J.: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems. Int. J. Solids Structures 4 (1968), 857-873. · Zbl 0164.26201
[4] Hlaváček I.: Convergence of an equilibrium finite element model for plane elastostatics. Apl. mat. 24 (1979), 427-457. · Zbl 0441.73101
[5] Johnson C., Mercier B.: Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30, (1978), 103-116. · Zbl 0427.73072
[6] Mosco U., Strang G.: One-sided approximations and variational inequalities. Bull. Am. Math. Soc. 80 (1974), 308-312. · Zbl 0278.35026
[7] Hlaváček I.: Dual finite element analysis for unilateral boundary value problems. Apl. mat. 22 (1977), 14-51.
[8] Hlaváček I.: Dual finite element analysis for semi-coercive unilateral boundary value problems. Apl. mat. 23 (1978), 52-71.
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