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Published August 15, 2019 | Supplemental Material + Submitted
Journal Article Open

Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies


Crack initiation and propagation in elastic–perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture is presented, and used to study crack initiation in notched specimens and crack propagation using a surfing boundary condition. Both plane strain and plane stress are addressed. It is shown that in plane strain, a plastic zone blunts the notch or crack tip which in turn inhibits crack nucleation and propagation. Sufficient load causes the crack to nucleate or unpin, but the crack does so with a finite jump. Therefore the propagation is intermittent or jerky leaving behind a rough surface. In plane stress, failure proceeds with an intense shear zone ahead of the notch or crack tip and the fracture process is not complete.

Additional Information

© 2019 Elsevier B.V. Received 21 November 2018, Revised 16 April 2019, Accepted 24 April 2019, Available online 11 May 2019. We have greatly benefited from many discussions with G. "Ravi" Ravichandran, Katherine Faber, Amine Benzerga and Alan Needleman. SB, BB, and KB acknowledge the financial support of the U.S. National Science Foundation (Grant No. DMS-1535083 and 1535076) under the Designing Materials to Revolutionize and Engineer our Future (DMREF) Program. Code development for vDef was supported in part by U.S. National Science Foundation (Grant No. DMS-1716763) under the Applied Mathematics program. Some numerical experiments were performed using resources of the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number OCI-1053575 under the Resource Allocation TG-DMS060014 and others at the Caltech high performance cluster supported in part by the Moore Foundation, USA.

Attached Files

Submitted - 1812.05223.pdf

Supplemental Material - 1-s2.0-S0045782519302300-mmc1.pdf


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August 19, 2023
October 20, 2023