POST-YIELD ANALYSIS OF A THREE-POINT BEND FRACTURE TEST SPECIMEN: AN EMBEDDED SINGULARITY FINITE ELEMENT INCREMENTAL METHOD.

Satya N. Atluri, Michihiko Nakagaki

Research output: Contribution to conferencePaperpeer-review

Abstract

The analysis is based on a small strain, incremental flow theory of plasticity with a general kinematic hardening law. The uniaxial stress-strain curve of the material is considered to be of the Ramberg-Osgood type. The stress and strain singularities near the crack tip, corresponding to the nonlinear material model, are imbedded in special finite elements near the crack tip. The continuity of displacements and tractions between these special near-tip elements and the far-field elements, with regular variation of stress and strain, is satisfied through a hybrid displacement finite element model. Plasticity ″corrections″ to the finite element solution in each increment are considered based on ″initial-stress″ iterations. Detailed numerical results are presented for the load-load point displacement relation, yield-zones in the specimen for various load levels, crack surface displacements at various load levels, the dependence of the J-integral on the load point displacement and load level, the distribution of hydrostatic and effective stresses in the net section ligament in the specimen, distribution of effective strain in the net section. A comparison of the present J-integral estimates with the qualitative prediction of Rice and others is made. THe implication of the results in predicting ductile fracture in general cracked bodies is briefly discussed.

Original languageEnglish
Pages265-282
Number of pages18
StatePublished - 1976
EventUnknown conference - Blacksburg, Va
Duration: Apr 29 1976Apr 30 1976

Conference

ConferenceUnknown conference
CityBlacksburg, Va
Period04/29/7604/30/76

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