Guillermo Goldsztein
School of Mathematics
Georgia Tech
The yield set of composites. A toy model
Matrix-inclusions composites are obtained by embedding solid particles (called inclusions) into an other otherwise homogeneous different solid material (called matrix). This is done to improve a property of the matrix such as its strength. The yield set of a material is the set of stresses that the material can withdstand. Our goal is to compute the yield set of matrix-inclusions composites given that we know the yield sets of the inclusions and the matrix, as well as features of the microstructure, i.e. shape, volume fraction and spatial distribution of the inclusions. We study a toy model motivated by this problem.