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Finite element analysis of a complia...
~
Toponarski, Ivan.
Finite element analysis of a compliance of a three dimensional crack in an anisotropic material.
レコード種別:
コンピュータ・メディア : 単行資料
正題名/作者:
Finite element analysis of a compliance of a three dimensional crack in an anisotropic material./
作者:
Toponarski, Ivan.
面頁冊數:
62 p.
附註:
Source: Masters Abstracts International, Volume: 44-05, page: 2438.
Contained By:
Masters Abstracts International44-05.
主題:
Engineering, Mechanical. -
電子資源:
Download PDF (下載PDF全文)
国際標準図書番号 (ISBN):
9780542603310
Finite element analysis of a compliance of a three dimensional crack in an anisotropic material.
Toponarski, Ivan.
Finite element analysis of a compliance of a three dimensional crack in an anisotropic material.
- 62 p.
Source: Masters Abstracts International, Volume: 44-05, page: 2438.
Thesis (M.S.)--Tufts University, 2006.
Materials used in various engineering applications are often anisotropic. Cracks may develop in them, and they, generally, reduce stiffness. Degradation of stiffness is obvious importance in continuum mechanics. The key problem is contribution of one crack to the overall stiffness reduction. Analysis of effective properties can be conveniently done in terms of the crack compliance tensor (or COD tensor of a crack) B, which depends on crack size and shape, on the elastic properties of the matrix and, in case of anisotropic matrix, on the orientation of the crack with respect to the matrix anisotropy axes. In case of a body of finite size, it also depends on the body's geometry. B tensor for a two-dimensional (2-D) orthotropic solid, expressed in coordinate system x 1, x2 of the matrix, is constant , independent of crack orientation. The center point of this study is to verify the hypothesis that B tensor is approximately constant in three-dimensional (3-D) transversely isotropic solid.
ISBN: 9780542603310Subjects--Topical Terms:
170925
Engineering, Mechanical.
Finite element analysis of a compliance of a three dimensional crack in an anisotropic material.
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Finite element analysis of a compliance of a three dimensional crack in an anisotropic material.
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Adviser: Mark Kachanov.
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Materials used in various engineering applications are often anisotropic. Cracks may develop in them, and they, generally, reduce stiffness. Degradation of stiffness is obvious importance in continuum mechanics. The key problem is contribution of one crack to the overall stiffness reduction. Analysis of effective properties can be conveniently done in terms of the crack compliance tensor (or COD tensor of a crack) B, which depends on crack size and shape, on the elastic properties of the matrix and, in case of anisotropic matrix, on the orientation of the crack with respect to the matrix anisotropy axes. In case of a body of finite size, it also depends on the body's geometry. B tensor for a two-dimensional (2-D) orthotropic solid, expressed in coordinate system x 1, x2 of the matrix, is constant , independent of crack orientation. The center point of this study is to verify the hypothesis that B tensor is approximately constant in three-dimensional (3-D) transversely isotropic solid.
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A finite element models are established to simulate the two and three dimensional "penny-shaped" crack analyses. Method development is first performed on the 2-D model, and data are compared to the analytically known solutions. Three dimensional analysis of the B tensor components is performed in several, with respect to the extent of anisotropy, transversely isotropic solids for 0°-90° crack orientations.
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Download PDF (下載PDF全文)
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