Finite superelements method for elasticity problemsFootnote¹

The work was done under partial financial support of Russian Fund for Basic Research (project 03–01–00461).

References

• Aboudi , J. 1982 . A continuum theory for fiber‐reinforced elastic‐viscoplastic composites . Int.J.Engng. Sci , 20 (5) : 605 – 621 .
   Web of Science ®Google Scholar
• Aboudi , J. 1989 . Micromechanical analysis of composites by the method of cells . Appl. Mech. Rev , 42 (7) : 193 – 221 .
   Google Scholar
• Bakhvalov , N.S. and Panasenko , G.P. 1984 . Homogenization of processes in periodic media , M. : Nauka . (in Russian)
   Google Scholar
• Burago , N.G. , Galanin , M.P. and Kuvyrkin , G.N. 2004 . Basic variational principles of mechanics of continuous médias , M. : MSTU n.a. Bauman . (in Russian)
   Google Scholar
• Christensen , R. 1982 . Introduction into mechanics of composites , M. : Mir . (in Russian)
   Google Scholar
• Efimenko , A.V. and Kuvyrkin , G.N. 1994 . New estimates of the effective elastic modulii of two‐component composites . Izv. RAN. Mekhanika Tverdogo Tela , 29 (1) : 18 – 26 . (in Russian)
   Google Scholar
• Efimenko , A.V. , Zarubin , V.S. and Kuvyrkin , G.N. 1996 . On bilateral estimates of thermo‐mechanical and thermophysical properties of nonhomogenious materials Dinamika, prochnost’ i iznosostoikost’ mashin . International journal on electronic medias , 2 : 3 – 7 . (in Russian)
   Google Scholar
• Fedorenko , R.P. 1994 . Introduction into computational physics , M. : MFTI . (in Russian)
   Google Scholar
• Fleming , W.J. and Dowson , A.L. 1999 . Prediction of the fatigue life of an aluminum metal matrix composite using the theory of cells . Science and Engineering of Composite Materials , 8 (4) : 181 – 189 .
   Web of Science ®Google Scholar
• Fleming , W.J. and Temis , J.M. 2002 . Numerical simulation of cyclic plasticity and damage of an aluminum metal matrix composite with particulate SiC inclusions . Int. Journal of Fatigue , 24 : 1079 – 1088 .
   Web of Science ®Google Scholar
• Galanin , M. and Savenkov , E. 2001 . On relations of finite superelements and projection methods . Preprint of KIAM of RAS , 67 (in Russian)
   Google Scholar
• Galanin , M. and Savenkov , E. 2002 . Fedorenko finite superelement method as special Galerkin approximation . Mathematical Modelling and Analysis , 7 (1) : 41 – 50 .
   Google Scholar
• Galanin , M. and Savenkov , E. 2003 . Substantiation of the finite superelements method . J. of Comp. Math, and Math. Phys , 43 (5) : 711 – 727 . (in Russian)
   Google Scholar
• Galanin , M. and Savenkov , E. 2004 . Finite superelements method for velocity skin‐layer problem . Preprint of KIAM of RAS , 11 (in Russian)
   Google Scholar
• Galanin , M. , Savenkov , E. and Temis , J. 2004 . Fedorenko finite superelements method for elasticity problems . Preprint of KIAM of RAS , 38 (in Russian)
   Google Scholar
• Skvortcov , V.R. 1995 . Foundations of mechanics of composites , SPb. : SPbGMTU . (in Russian)
   Google Scholar
• Strakhovskaja , L.G. and Fedorenko , R.P. 1994 . The calculation of the stress state of 3D composite body by Finite Superlements Method . Preprint of KIAM of RAS , 97 (in Russian)
   Google Scholar
• Temam , R. 1991 . Mathematical problems of plasticity theory , M. : Nauka . (in Russian)
   Google Scholar
• Zarubin , V.S. 1977 . Applied problems of thermostrength of constructions , M. : Nauka . (in Russian)
   Google Scholar
• Zarubin , V.S. and Kuvyrkin , G.N. 1994 . Prognoses of thermophysical and thermoelastic properties of composites . Vestnik MGTU. Ser. Mashinostroenie , 2 : 78 – 83 . (in Russian)
   Google Scholar
• The work was done under partial financial support of Russian Fund for Basic Research (project 03–01–00461).
   Google Scholar