Acta Mechanica Sinica

, Volume 15, Issue 4, pp 334–343 | Cite as

Effective elastic moduli of inhomogeneous solids by embedded cell model

  • Zhan Shige
  • Wang Tzuchiang


An embedded cell model is presented to obtain the effective elastic moduli for three-dimensional two-phase composites which is an exact analytic formula without any simplified approximation and can be expressed in an explicit form. For the different cells such as spherical inclusions and cracks surrounded by sphere and oblate ellipsoidal matrix, the effective elastic moduli are evaluated and the results are compared with those from various micromechanics models. These results show that the present model is direct, simple and efficient to deal with three-dimensional two-phase composites.

Key words

embedded cell model effective elastic moduli crack inclusion 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1999

Authors and Affiliations

  • Zhan Shige
    • 1
  • Wang Tzuchiang
    • 1
  1. 1.LNM, Institute of MechanicsChinese Academy of SciencesBeijingChina

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