Cálculo del tensor de deformaciones en inclusiones.

Fernando Rajadell, Joseph Planelles, Juan Ignacio Climente


The present paper is an approach to the calculation of strain in quantum dots of arbitrary shape buried in a matrix. We assume the isotropic strain model, which has good performance and is not computationally heavy. We start from the definitions of strain and stress and the fundamental Navier equation. Then, the elasticity formalism is applied to the problem of spherical inclusion. Finally, using the superposition principle, we obtain the strain in an inclusion of arbitrary shape as a sum of effects coming from the inclusion of many small spheres. The resulting strain formula is a surface integral which can be numerically solved and compared to results published in recent scientific literature.

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