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4. Stress Concentration Factor Formulas Useful for All Notch Shapes in a Flat Test Specimen Under Tension and Bending

Author

Noda, NA and Takase, Y

Abstract

In this work, stress concentration factors Ktfor a flat bar with circular-arc or V-shaped notches are considered based on the exact solutions for special cases and accurate numerical results. Then, a set of Ktformulas useful for any notch shape is proposed. The conclusions can be summarized as follows. For the limiting cases of deep (d) and shallow (s) notches, the body force method is used to calculate the Ktvalues. Then, the formulas are obtained as Ktdand Kts. Next, the notch shape is classified into several groups according to the notch radius and notch depth. Then, the least squares method is applied for calculation of Kt/Ktdand Kt/Kts. Finally, convenient formulas are proposed that are useful for any notch shape in a flat test specimen. The formulas yield stress concentration factors with less than 1% error for any notch shape in a flat test specimen.

Published
2002
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5. Intensity of singular stress fields of wedge-shaped defect in human tooth due to occlusal force before and after restoration with composite resins.

Author

Chen KK, Noda NA, Tajima K, Sano Y, and Takase Y

Subjects
Biomechanical Phenomena, Humans, Bite Force, Composite Resins, Dental Restoration, Permanent, Finite Element Analysis, Molar physiology, Stress, Mechanical
Abstract

Wedge-shaped defects are frequently observed on the cervical region of the human tooth. Previously, most studies explained that improper tooth-brushing causes such defects. However, recent clinical observation suggested that the repeated stress due to occlusal force may induce the formation of these wedge-shaped defects. In this study, therefore, two-dimensional human tooth models are considered with and without a wedge-shaped defect by applying the finite element method. To evaluate large stress concentrations accurately, a method of analysis is discussed in terms of the intensity of singular stress fields appearing at the tip of the sharp wedge-shaped defect. The effects of the position and direction of occlusion on the intensity of singular stress fields are discussed before and after restoration with composite resins.

Published
2017
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