Abstract
An analysis of displacements and stresses around an elliptical notch in an infinite plate is presented. The analysis is based on linear-elastic material, but the problem is solved by taking into account the changes of geometry due to the applied load. Such a formulation makes it possible to study the change of the notch-tip geometry and its effect on the local stress and displacement fields during the process of quasistatic loading. It is found that in the case of a sharp notch, a significant change in the notch-tip radius takes place after the load is applied. This change results in a nonlinear variation of the stress concentration factor with applied load and the initial notch geometry. The solution obtained for a sharp crack yields finite stresses and strains at the crack tip, which becomes blunt soon after application of the load. Several closed form expressions are derived enabling the crack-tip radius, deformed crack shape and stresses to be easily calculated. All results are obtained for the plane-stress case.
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