An improvement on the three-dimensional phase-field microelasticity theory for elastically and structurally inhomogeneous solids

 The three-dimensional phase-field microelasticity theory for elastically and structurally inhomogeneous solids is improved with a simple and efficient damped iterative method. This method can be used to obtain the effective stress-free strain distribution that fully determines the stress and strain fields in the elastically and structurally inhomogeneous solids, or to obtain directly the strain field from the equilibrium equation.