Applied Mathematics and Mechanics

, Volume 18, Issue 4, pp 341–348 | Cite as

Bounds of the expansion coefficients of composites reinforced by spherically isotropic particles

  • He Linghui
  • Liu Renhuai


The present paper is devoted to the study of expansional behaviours of a composite reinforced by spherically isotropic particles. An exact relation is derived between the effective expansion coefficient and bulk modulus of the composite by using the concept of uniform fields in the matrix which is proposed here. Through obtaining the Paul-type bounds of the bulk modulus by using the extreme principle of energy, bounds of the effective expansion coefficient are also derivded

Key words

composite expańsional behaviour bounds 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • He Linghui
    • 1
  • Liu Renhuai
    • 2
  1. 1.University of Science and Technology of ChinaHefeiP. R. China
  2. 2.Jinan UniversityGuangzhouP. R. China

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