Effect of elastic constants on stress in multiphases under plane deformation
Abstract
The reduction of the elastic parameters necessary to describe the stress field in a composite under plane deformation is discussed based on the body force method and the eigenstrain theory. When the composite body subjected to prescribed surface tractions consists of N different elastic phases and each phase is characterized by M(sub gamma) (gamma = 0, 1,..., N1) independent elastic constants, the stress fields generally depend on (Sigma(sub gamma = 0)(sup N  1) M(sub gamma))  1 parameters involving the elastic constants. If the vector sums of the tractions on holes vanish for every individual hole, however, the stress depends on the elastic constants through only (Sigma(sub gamma = 0)(sup N  1) M(sub gamma))  2 parameters formed from Sigma(sub gamma = 0)(sup N  1) M(sub gamma) elastic constants.
 Publication:

Engineering Fracture Mechanics
 Pub Date:
 June 1994
 Bibcode:
 1994EnFM...48..347C
 Keywords:

 Composite Materials;
 Elastic Properties;
 Holes (Mechanics);
 Plane Strain;
 Stress Distribution;
 Traction;
 Eigenvalues;
 Eigenvectors;
 Stress Analysis;
 Structural Mechanics