Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity
An analytical study of longitudinal fracture in two-dimensional functionally graded cantilever beam configurations is carried-out with taking into account the non-linear behavior of material. A longitudinal crack is located arbitrary along the beam cross-section height. The material is functionally...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2017-06-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1916 |
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| author | Victor Rizov |
| author_facet | Victor Rizov |
| author_sort | Victor Rizov |
| collection | DOAJ |
| description | An analytical study of longitudinal fracture in two-dimensional functionally graded cantilever beam configurations is carried-out with taking into account the non-linear behavior of material. A longitudinal crack is located arbitrary along the beam cross-section height. The material is functionally graded along the width as well as along the height of beam. The external loading consists of a bending moment applied at the free end of lower crack arm. Fracture is studied in terms of the strain energy release rate by considering the beam complementary strain energy. The solution derived is verified by analyzing the longitudinal crack with the help of the J-integral. The distribution of J-integral value along the crack front is studied. The effects of crack location, material gradients and non-linear behavior of material on the fracture are elucidated. The analysis reveals that the material non-linearity has to be taken into account in fracture mechanics based safety design of structural members and components made of two-dimensional functionally graded materials. |
| format | Article |
| id | doaj-art-c54c8d81baaf4009b5fea674b0becd21 |
| institution | DOAJ |
| issn | 1971-8993 |
| language | English |
| publishDate | 2017-06-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-c54c8d81baaf4009b5fea674b0becd212025-08-20T02:51:43ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932017-06-011141Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearityVictor RizovAn analytical study of longitudinal fracture in two-dimensional functionally graded cantilever beam configurations is carried-out with taking into account the non-linear behavior of material. A longitudinal crack is located arbitrary along the beam cross-section height. The material is functionally graded along the width as well as along the height of beam. The external loading consists of a bending moment applied at the free end of lower crack arm. Fracture is studied in terms of the strain energy release rate by considering the beam complementary strain energy. The solution derived is verified by analyzing the longitudinal crack with the help of the J-integral. The distribution of J-integral value along the crack front is studied. The effects of crack location, material gradients and non-linear behavior of material on the fracture are elucidated. The analysis reveals that the material non-linearity has to be taken into account in fracture mechanics based safety design of structural members and components made of two-dimensional functionally graded materials.https://www.fracturae.com/index.php/fis/article/view/1916Functionally graded beamCrackMaterial non-linearityAnalytical solution |
| spellingShingle | Victor Rizov Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity Fracture and Structural Integrity Functionally graded beam Crack Material non-linearity Analytical solution |
| title | Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity |
| title_full | Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity |
| title_fullStr | Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity |
| title_full_unstemmed | Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity |
| title_short | Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity |
| title_sort | analysis of longitudinal cracked two dimensional functionally graded beams exhibiting material non linearity |
| topic | Functionally graded beam Crack Material non-linearity Analytical solution |
| url | https://www.fracturae.com/index.php/fis/article/view/1916 |
| work_keys_str_mv | AT victorrizov analysisoflongitudinalcrackedtwodimensionalfunctionallygradedbeamsexhibitingmaterialnonlinearity |