An incremental analysis of plane strain fully plastic crack growth in strain-hardening materials under extension |
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Authors: | Qing Zhou Tomasz Wierzbicki |
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Affiliation: | (1) Massachusetts Institute of Technology, 02139 Cambridge, MA, USA;(2) Present address: General Motors Corporation, 30500 Mound Road, Mail Code 480-106-256, 48090-9055 Warren, MI, USA |
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Abstract: | Analyses of inelastic fracture have mainly followed two directions. One is crack-tip-field analysis in strain-hardening materials (e.g., the HRR solution). The other is whole field analysis in non-hardening materials (e.g., McClintock's slip-line approach). In this paper, a theoretical approach that combines the two directions is presented to account for large crack growth. As an example, plane strain mode I fully plastic crack growth in a single-edge-cracked-specimen under extension is analyzed. The incremental analysis based on the deformed configuration is developed for large crack growth in strain-hardening materials. A kinematically admissible displacement increment field with crack-tip singularity is first constructed in a presumed symmetrical triangular deformation zone extending from the crack tip to the back flank of the ligament (whole field). Then the size of the deformation zone is determined by minimizing the total force in each incremental step. The strain histories of all material points in the ligament are traced and a fracture criterion based on the hole growth theory is applied. The comparisons between the present study and the experiments existing in the literature show the validity of the present approach. |
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