On Fractal Cracks in Micropolar Elastic SolidsSource: Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 001::page 45Author:A. Yavari
,
Graduate Research Assistant Assoc. Mem. ASME
,
S. Sarkani
,
E. T. Moyer
,
Adjunct Associate Professor
DOI: 10.1115/1.1409258Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper we review the fracture mechanics of smooth cracks in micropolar (Cosserat) elastic solids. Griffith’s fracture theory is generalized for cracks in micropolar solids and shown to have two possible forms. The effect of fractality of fracture surfaces on the powers of stress and couple-stress singularity is studied. We obtain the orders of stress and couple-stress singularities at the tip of a fractal crack in a micropolar solid using dimensional analysis and an asymptotic method that we call “method of crack-effect zone.” It is shown that orders of stress and couple-stress singularities are equal to the order of stress singularity at the tip of the same fractal crack in a classical solid.
keyword(s): Solids , Stress , Fracture (Materials) , Fractals AND Fracture mechanics ,
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| contributor author | A. Yavari | |
| contributor author | Graduate Research Assistant Assoc. Mem. ASME | |
| contributor author | S. Sarkani | |
| contributor author | E. T. Moyer | |
| contributor author | Adjunct Associate Professor | |
| date accessioned | 2017-05-09T00:06:42Z | |
| date available | 2017-05-09T00:06:42Z | |
| date copyright | January, 2002 | |
| date issued | 2002 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26529#45_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/126320 | |
| description abstract | In this paper we review the fracture mechanics of smooth cracks in micropolar (Cosserat) elastic solids. Griffith’s fracture theory is generalized for cracks in micropolar solids and shown to have two possible forms. The effect of fractality of fracture surfaces on the powers of stress and couple-stress singularity is studied. We obtain the orders of stress and couple-stress singularities at the tip of a fractal crack in a micropolar solid using dimensional analysis and an asymptotic method that we call “method of crack-effect zone.” It is shown that orders of stress and couple-stress singularities are equal to the order of stress singularity at the tip of the same fractal crack in a classical solid. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Fractal Cracks in Micropolar Elastic Solids | |
| type | Journal Paper | |
| journal volume | 69 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.1409258 | |
| journal fristpage | 45 | |
| journal lastpage | 54 | |
| identifier eissn | 1528-9036 | |
| keywords | Solids | |
| keywords | Stress | |
| keywords | Fracture (Materials) | |
| keywords | Fractals AND Fracture mechanics | |
| tree | Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 001 | |
| contenttype | Fulltext |