TY - JOUR
T1 - A closed-form expression of a ductile Fracture Limit Surface (FLS) for general plane stress deformation paths
AU - Lee, Eun Ho
AU - Rubin, M. B.
AU - Lim, Jae Hyuk
AU - Park, Namsu
N1 - Publisher Copyright:
© 2024 Elsevier Inc.
PY - 2024/5
Y1 - 2024/5
N2 - Ductile fracture in metals is a complex phenomenon caused by the nucleation, growth, and aggregation of micron-sized voids. Existing theoretical models for fracture use experimentally determined Fracture Limit Curves (FLCs) in two-dimensional strain space, which require multiple curves to account for anisotropic effects. This paper proposes a practical closed-form analytical function for a Fracture Limit Surface (FLS) which has a conical shape in the Elastic Distortional Deformation Space (EDDS). The EDDS is a space generated by the components of the elastic distortional metric of the microstructural vectors that characterize elastic distortional deformations and the orientations of anisotropy. The FLS is determined by simulating only four experimental FLCs using a large deformation Eulerian formulation of the microstructural vectors and it depends only on the current state of elastic distortional deformation. It is shown that the failure limit points predicted by the FLS agreed very well with those predicted using a popular evolution equation for damage-based ductile fracture. Path-independence of the FLS is also examined using experimental data. In addition, the example of a B-pillar forming process is presented to show that the FLS can be applied to practical engineering problems with material points that experience general loading paths.
AB - Ductile fracture in metals is a complex phenomenon caused by the nucleation, growth, and aggregation of micron-sized voids. Existing theoretical models for fracture use experimentally determined Fracture Limit Curves (FLCs) in two-dimensional strain space, which require multiple curves to account for anisotropic effects. This paper proposes a practical closed-form analytical function for a Fracture Limit Surface (FLS) which has a conical shape in the Elastic Distortional Deformation Space (EDDS). The EDDS is a space generated by the components of the elastic distortional metric of the microstructural vectors that characterize elastic distortional deformations and the orientations of anisotropy. The FLS is determined by simulating only four experimental FLCs using a large deformation Eulerian formulation of the microstructural vectors and it depends only on the current state of elastic distortional deformation. It is shown that the failure limit points predicted by the FLS agreed very well with those predicted using a popular evolution equation for damage-based ductile fracture. Path-independence of the FLS is also examined using experimental data. In addition, the example of a B-pillar forming process is presented to show that the FLS can be applied to practical engineering problems with material points that experience general loading paths.
KW - Fracture limit surface
KW - Inelasticity
KW - Microstructural vectors
KW - Path-independence
KW - Sheet metal forming
UR - http://www.scopus.com/inward/record.url?scp=85186528025&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2024.02.021
DO - 10.1016/j.apm.2024.02.021
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AN - SCOPUS:85186528025
SN - 0307-904X
VL - 129
SP - 733
EP - 753
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
ER -