A critical review is given of the various historical attempts to formulate a general, three-dimensional theory of failure for broad classes of homogeneous, isotropic elastic materials. Following that, a recently developed two-parameter yield/failure criterion is compared with the historical efforts and it is further interpreted and extended. Specifically, the yield/failure criterion is combined with a fracture restriction that places limits on certain tensile stress states, without involving any additional parameters. An evaluation is conducted using available experimental data obtained from a variety of materials types. The two materials parameters are given a primary designation as yield type properties over a specified range of ductile behavior, and as failure or fracture type properties over the complementary brittle range.
A Two-Property Yield, Failure (Fracture) Criterion for Homogeneous, Isotropic Materials
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division September 3, 2002; revision received April 11, 2003. Associate Editor: M. Zhou.
Christensen, R. M. (January 22, 2004). "A Two-Property Yield, Failure (Fracture) Criterion for Homogeneous, Isotropic Materials ." ASME. J. Eng. Mater. Technol. January 2004; 126(1): 45–52. https://doi.org/10.1115/1.1631024
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