This paper comments on some of the different numerical techniques commonly employed in evaluating Cauchy singular integrals of the first kind; e.g. as pertaining to 2D through cracks in a brittle material undergoing Mode I loading. In addition, a different more direct method is proposed here. Also,
J-integral estimate for biaxially stressed Mode I cracks based on COD strain
โ Scribed by Takamoto Itoh
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 550 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0142-1123
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โฆ Synopsis
This paper proposes a simple equation for evaluating J-integral values for biaxially stressed Mode I cracks. Finite element analyses were carried out to obtain the relationship between J-integral and crack opening displacement by varying the inelastic constitutive relationship, crack length and stress/strain biaxiality. A quantitative relationship was derived between the J-integral and crack opening displacement for various kinds of stress-strain relationships. A new equation for estimating the J-integral was proposed based on the crack opening displacement. The equation evaluated J-integral values for biaxially stressed Mode I cracks within a 25% error if the yield stress, strain hardening coefficient and exponent were known.
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