A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regulaxization parameter epsilon > 0 and we approximate the F...
Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2006, COE Lecture Note Vol.6, Faculty of Mathematics, Kyushu University ISSN 1881-4042 114-136 2007年
Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note Vol.3, Faculty of Mathematics, Kyushu University ISSN 1881-4042 56-68 2006年
We investigate a physical characterization of the gradient flow structure of
variational fracture models for brittle materials: a Griffith-type fracture
model and an irreversible fracture phase field model. We derive the
Griffith-type fracture mod...
Two examples of extention of crack growth model with phase field approach are derived. A crack growth model for visco-elastic material is introduced from exctended free energy which add effect of Maxwell fluid. Another model with effect of H-embri...