Evaluation of crack propagation stability with the Williams stress function-I. Stress field analysis

The influence of the value of the second coefficient of the Williams stress function on the crack propagation stability is studied. The conclusions obtained established that the second coefficient determines crack stability. Accordingly, the program ANGCRK is validated and used for the numerical evaluation of crack propagation stability. An extension of this study to the case of two dimension edge-cracked specimens loaded with biaxial load is made in a companion paper.