Influence of anisotropy on the constraints field of a bicrystal (layer/substrate) under the effect of a network of interfacial dislocations

Abstract

The purpose of this work is to model the monoscale predictive behavior and to reproduce certain experimental observations by using numerical simulation based on the theory of anisotropic elasticity. The latter allows us to express all the necessary expressions describing the strain field. The Fourier series expansion of the strain field leads to a system of linear algebraic equations which are solved numerically to obtain the complex Fourier coefficients which are used to calculate the elastic fields of displacements and stresses. In this work we focused our effort towards the development of a mathematical code that calculates the anisotropic elastic constraints field. As an application, we have treated the case of a bicrystal Cu/(001) Fe.