Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
Based on Mori and Tanaka's concept of ''average stress'' in the matrix and Eshelby's solutions of an ellipsoidal inclusion, an approximate theory is established to derive the stress and strain state of constituent phases, stress concentrations at the interface, and the elastic energy and overall moduli of the composite. Both ''stress-free'' strain (polarization strain) and ''strain-free'' stress (polarization stress) are employed in these derivations under the traction-and displacement-prescribed conditions. The theory was developed first for a general multiphase, anisotropic composite with arbitrary oriented anisotropic inclusions; explicit results are then given for a suspension of uniformly distributed, multiphase isotropic spheres in an isotropic matrix. Numerical results for stress concentrations in the spherical inclusions and at the interface are given for a 2-phase composite.
Mori and Tanaka's concept of ''average stress'' in the matrix
traction-and displacement-prescribed conditions
general multiphase, anisotropic composite
arbitrary oriented anisotropic inclusions
suspension of uniformly distributed, multiphase isotropic spheres
scientific article; zbMATH DE number 3887222
scientific article