Phase field microelasticity theory and modeling of elastically and structurally inhomogeneous solid

By Yu U. Wang, Yongmei M. Jin, A. Khachaturyan. 2002

193 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Laws of crack motion and phase-field models of fracture (2008, background): “Continuum models of brittle fracture that describe both short scale failure and macroscopic linear elasticity within a self-consistent set of equations have recently been proposed (Aranson et al., 2000; Karma et al., 2001; Eastgate et al., 2002; Wang et al., 2002; Marconi and Jagla, 2005).”
Multi phase field model for solid state transformation with elastic strain (2006, background): “The opposite limit (Voigt limit [14] [13]) is applied in the model of [6] and [15], where the strain between the phases is continuous and the effective elasticity matrix is an arithmetic mean of the elasticity matrices of the individual phases.”
a Phase-Field Theory of Dislocation Dynamics, Strain Hardening (2002, background): “The elastic interaction energy formulated in this section is a special case of a general class of energies for continuously distributed dislocation loops in isotropic elastic crystals derived by Ortiz and Xu [Xu and Ortiz (1993)].”
An introduction to phase-field modeling of microstructure evolution (2008, methodology): “Efficient methods have been developed to solve the elasticity equations [4,66,115,116] for materials with heterogeneous elastic properties (Ci jkl(r)).”