@misc{tianwen2025a, title = {Gradient-enhanced ductile fracture constitutive modeling in implicit two-scale finite element analysis}, author = {Tianwen Tan, Ikumu Watanabe}, publisher = {Elsevier BV}, year = {2025-01-08}, keywords = {Ductile fracture, Mesh dependency, Micromorphic theory, Finite strains , Length scale} }