1998 Fiscal Year Final Research Report Summary
Fracture mechanics of an anisotropic elastic plane and its application
Project/Area Number |
08650532
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
土木材料・力学一般
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Research Institution | Nagoya Institute of Technology |
Principal Investigator |
HASEBE Norio Nagoya Institute of Technology, Faculty of Engineering, Professor, 工学部, 教授 (10024308)
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Project Period (FY) |
1996 – 1998
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Keywords | Anisotropy / Orthotropy / Fracture mechanics / Crack / Stress intensity factor / Principal axis of elasticity / Complex stress function / Mapping function |
Research Abstract |
The main study is that of the fracture due to causes of existence of such as crack and defect in an anisotropic elastic body. For this study, an orthotropic elastic plane was considered, which has a relation among the elastic modulus ( called the quasi orthotropic plane ). Complex stress functions and a rational mapping function were used and an external boundary value problem was analyzed. The stress components and stress intensity factors were obtained. Then a relation between this stress intensity factors and those of the isotropic plane obtained by the Affine transformation was obtained. We can use the results of the isotropic elastic plane which have already been obtained, and this is very useful because many stress intensity factors of the isotropic elastic plane have been obtained. Also a relation among the stress intensity factor was obtained in case that the directions of the principal axis of the orthotropic plane and of the crack are different. The analytical solution of the mixed boundary value problem on the quasi orthotropic plane was derived, And the half plane with a thin rigid line inclusion on the edge of the half plane was analyzed. Since there is a singularity at the tip of inclusion, the stress intensity factor was defined. If those of the isotropic elastic plane for the same shape obtained by the Affine transformation have been obtained, we use the results and can obtain the stress intensity factors. A relation among the moduli of the quasi and orthotropic elastic planes also was derived.
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Research Products
(2 results)