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Misfit dislocation in a precipitate/matrix interface of any orientation relative to the matrix free-surface

Colin J.

Archives of Mechanics

2020

Vol. 72, nr 5

445--464

The presence of an edge dislocation in a surface of a two-dimensional precipitate of square shape embedded in a semi-infinite matrix has been discussed when the precipitate is submitted to misfit strain due to the lattice mismatch between the two phases. Considering any orientation of the precipitate relative to the matrix free-surface, the total force applying on the dislocation has been analytically calculated and its equilibrium position has been determined. The conjugated effects of the precipitate misorientation, of the lattice mismatch and of the precipitate/matrix distance have been finally characterized. A shifting effect on this equilibrium position has been analyzed.

A unit-cell approach to prediction of the microbuckling strength of composites with non-uniform fiber imperfections under combined axial compression and in-plane shear

Romanowicz Marek

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 2

303--316

A new micromechanical model for predicting the failure locus of long fiber composites under combined axial compression and in-plane shear is proposed. The model is based on a periodic unit cell with centrally located imperfections. Predictions of the compressive behavior for various biaxial loading ratios are made. The role of distribution of fiber imperfections in predicting the biaxial strength is discussed. The failure locus calculated from the new model is found to be in good agreement with experimental data available in the literature and less conservative than that from the periodic model with uniform imperfections.