Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 341-348.

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BOUNDS OF THE EXPANSION COEFFICIENTS OF COMPOSITES REINFORCED BY SPHERICALLY ISOTROPIC PARTICLES

He Linghui1, Liu Renhuai2   

  1. 1. University of Science and Technology of China, Hefei 230026, P. R. China;
    2. Jinan University, Guangzhou 510632, P. R. China
  • Received:1995-11-03 Online:1997-04-18 Published:1997-04-18

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

Key words: composite, expansional behaviour, bounds

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