Engineering topics

Karabin, M. E., Jr.

Publications and source records attributed to Karabin, M. E., Jr..

3 records

NASA NTRS1979

Path dependence of J in three numerical examples

Three cracked geometries are studied with the aid of a new finite element model. The procedure employs a variable singularity at the crack tip that tracks changes in the material response during the loading process. Two of the problems are tension-loaded center-crack panels and the other is a three-point bend specimen. Results usually agree with other numerical and analytical analyses, except the finding that J is path dependent as a substantial plastic zone develops. Credible J values are obtained near the crack tip and J shows a significant increase as the radius of J path increases over two orders of magnitude. Incremental and deformation theories are identical provided the stresses exhibit proportionality found in the far field stresses but not near the tip.

Karabin, M. E., Jr.↗

NASA NTRS1978

A case of elasto-plastic flow using a new special element

Using a new special element for elasto-plastic flow, a nearly square, center-cracked plate of simulated A533 steel is analyzed. Selected results are examined locally to the crack's tip. It is found that a sharp transition in the distribution of deformation and stress occurs after the initial elastic response, and that this state is followed by fairly stable behavior over a considerable portion of the load range. Distribution of strain energy density is noted, and implications for use of the parameter J and for additional work are discussed briefly.

Swedlow, J. L.↗

NASA NTRS1977

Elasto-plastic flow in cracked bodies using a new finite element model

Cracked geometries were studied by finite element techniques with the aid of a new special element embedded at the crack tip. This model seeked to accurately represent the singular stresses and strains associated with the elasto-plastic flow process. The present model was not restricted to a material type and did not predetermine a singularity. Rather the singularity was treated as an unknown. For each step of the incremental process the nodal degrees of freedom and the unknown singularity were found through minimization of an energy-like functional. The singularity and nodal degrees of freedom were determined by means of an iterative process.

Karabin, M. E., Jr.↗