섬유 체적분율을 고려한, 단일의 함유체를 포함한 무한고체에서의 탄성해석Elastic Analysis of an Unbounded Elastic Solid with an Inclusion Considering Composite Fiber Volume Fraction
- Other Titles
- Elastic Analysis of an Unbounded Elastic Solid with an Inclusion Considering Composite Fiber Volume Fraction
- Authors
- 이정기; 한희덕
- Issue Date
- 2007
- Publisher
- 대한기계학회
- Keywords
- Volume Integral Equation Method(체적 적분방정식법); Inclusions(함유체); Composites(복합재료); Fiber Volume Fraction(섬유 체적분율); Effective Material(균질화 물질); Volume Integral Equation Method(체적 적분방정식법); Inclusions(함유체); Composites(복합재료); Fiber Volume Fraction(섬유 체적분율); Effective Material(균질화 물질)
- Citation
- 대한기계학회논문집 A, v.31, no.1, pp.89 - 96
- Journal Title
- 대한기계학회논문집 A
- Volume
- 31
- Number
- 1
- Start Page
- 89
- End Page
- 96
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/24148
- ISSN
- 1226-4873
- Abstract
- A volume integral equation method (VIEM) is applied for the effective analysis of plane elastostatic problems in unbounded solids containing single isotropic inclusion of two different shapes considering composite fiber volume fraction. Single cylindrical inclusion and single square cylindrical inclusion are considered in the composites with six different fiber volume fractions (0.25, 0.30, 0.35, 0.40, 0.45, 0.50). Using the rule of mixtures, the effective material properties are calculated according to the corresponding composite fiber volume fraction. The analysis of plane elastostatic problems in the unbounded effective material containing single fiber that covers an area corresponding to the composite fiber volume fraction in the bounded matrix material are carried out. Thus, single fiber, matrix material with a finite region, and the unbounded effective material are used in the VIEM models for the plane elastostatic analysis. A detailed analysis of stress field at the interface between the matrix and the inclusion is carried out for single cylindrical or square cylindrical inclusion. Next, the stress field is compared to that at the interface between the matrix and the single inclusion in unbounded isotropic matrix with single isotropic cylindrical or square cylindrical inclusion. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of inclusions. Through the analysis of plane elastostatic problems, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing inclusions considering composite fiber volume fraction.
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Collections - College of Science and Technology > Department of Mechanical and Design Engineering > 1. Journal Articles
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