Phase field simulation of thermomechanical fracture

A phase-field model for cohesive fracture

In this paper a phase-field model for cohesive fracture is developed. After casting the cohesive zone approach in an energetic framework, which is suitable for incorporation in phase-field approaches, the phase-field approach to brittle fracture is recapitulated. The approximation to the Dirac function is discussed with particular emphasis on the Dirichlet boundary conditions that arise in the ...

Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy

Crack propagation in brittle materials with anisotropic surface energy is important in applications involving single crystals, extruded polymers, or geological and organic materials. Furthermore, when this anisotropy is strong, the phenomenology of crack propagation becomes very rich, with forbidden crack propagation directions or complex sawtooth crack patterns. This problem interrogates funda...

Phase - Field Simulation of Solidification 1

W. J. Boettinger,1 J. A. Warren,1 C. Beckermann,2 and A. Karma3 1Metallurgy Division, Materials Science and Engineering Laboratory, NIST, Gaithersburg, Maryland 20899; e-mail: [email protected]; [email protected] 2Department of Mechanical and Industrial Engineering, University of Iowa, Iowa City, Iowa 52242; e-mail: [email protected] 3Department of Physics and Center for Inter...

Phase-field Simulation of Dendritic Solidification

We consider the solidi cation of a pure material from its undercooled melt, taking into account e ects of surface tension, kinetic undercooling and crystalline anisotropy. The classical mathematical formulation consists of two heat equations coupled with boundary conditions prescribed at the moving solid-liquid interface. Analytic solutions are known only for a few special cases. Since the prob...

Phase-field simulation of phase coarsening at ultrahigh volume fractions