Mechanical Engineering ETDs

Publication Date

2-16-1972

Abstract

A theory of fracture is proposed for brittle and near brittle fracture. The theory includes the Griffith-Irwin theory as a special case. Developed for opening mode loading in plane geometry, the theory is based on a solution for a slit in an infinite elastic plate with an arbitrary relative displacement along the slit. Particular relative displacement functions are chosen and studied in detail by calculating the mean stress, maximum shear stress, maximum tensile stress, and energy density fields as well as the tractions applied on the slit. The particular solutions chosen for examination all exhibit singularities in the stress fields at the slit end, with behavior ranging from the classical stress-free slit elastic solution to the logarithmic solutions of Ju. A stress intensity factor is proposed based on the solutions that generate frictional power singularities. This stress intensity factor is a generalization of the Irwin-Griffith factor.

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Frederick Dsuin Ju

Second Committee Member

George Milton Wing

Third Committee Member

Bohumil Albrecht

Fourth Committee Member

Youn-Chang Hsu

Document Type

Dissertation

Language

English

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