Three-dimensional phase field microelasticity theory and modeling of multiple cracks and voids

It is proved that the stress-free strain distribution minimizing the strain energy of the homogeneous modulus body fully determines the elasticity of the discontinuous body. This result is used as a basis for the proposed thr ee-dimensional phase field microelasticity theory and model of a discontinu ous body with cracks and voids in elastically anisotropic crystal under app lied stress. The elastic equilibrium and spontaneous evolution of these def ects are described by the Ginzburg-Landau kinetic equation. Examples of com putations of elastic equilibrium and evolutions of systems with cracks and/ or voids are considered. (C) 2001 American Institute of Physics.