TY  - JOUR
A1  - Sevostianov, Igor
A1  - Bruno, Giovanni
T1  - Maxwell scheme for internal stresses in multiphase composites
JF  - Mechanics of Materials
N2  - The paper focuses on the reformulation of classic Maxwell's (1873) homogenization method for calculation of the residual stresses in matrix composites. For this goal, we equate the far fields produced by a set of inhomogeneities subjected to known eigenstrains and by a fictitious domain with unknown eigenstrain. The effect of interaction between the inhomogeneities is reduced to the calculation of the additional field acting on an inhomogeneity due to the eigenstrains in its neighbors. An explicit formula for residual stresses is derived for the general case of a multiphase composite. The method is illustrated by several examples. The results are compared with available experimental data as well as with predictions provided by the non-interaction approximation (Eshelby solution). It is shown that accounting for interaction can explain many experimentally observed phenomena and is required for adequate quantitative analytical modeling of the residual stresses in matrix composites.
KW  - Residual stress
KW  - Multiphase composites
KW  - Interaction
KW  - Micromechanical schemes
KW  - Anisotropy
Y1  - 2018
U6  - https://doi.org/10.1016/j.mechmat.2018.12.005
SN  - 0167-6636
SN  - 1872-7743
VL  - 129
SP  - 320
EP  - 331
PB  - Elsevier
CY  - Amsterdam
ER  -