Notch mechanics for plane and thin plate bending problems
โ Scribed by Norio Hasebe; Takuji Nakamura; Jiro Iida
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 1024 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
This paper describes the summary of notch mechanics based on the linear elasticity. The V-shaped notch with sharp or round corner and symmetric to the bisector is the object of this study. The plane elastic problem and thin plate bending problem are considered for free and fixed boundary conditions. The following matters are investigated: the stress distributions near the sharp corner; the general expression of the stress concentration at the round comer; the relationship between the intensity of corner and the stress concentration; and the stress intensity factor of a crack initiating from the notch tip. The notch mechanics is connected with the crack mechanics by the expression of stress intensity factor.
๐ SIMILAR VOLUMES
For the bending problems of simply supported thin plates, the governing bi-harmonic equation can be decomposed into two independent Poisson equations based upon Kirchho theory. The conventional boundary integral formulations based on this decomposition technique have been proved to yield non-equival