Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks
An isotropic elastic plate weakened by a hole and arbitrary system of cracks is considered. Using the principle of equal strength and minimization of stress intensity factors a theoretical analysis is made of the equistrong hole shape. A criterion and a method for solving the inverse problem of frac...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2019-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/4931489 |
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doaj-5e0739f417724cd58ed1707dd5fea4fd2020-11-25T01:49:06ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/49314894931489Inverse Problem of Elasticity for a Plate Weakened by Hole and CracksVagif M. Mirsalimov0Mechanics, Azerbaijan Technical University, Baku AZ1073, AzerbaijanAn isotropic elastic plate weakened by a hole and arbitrary system of cracks is considered. Using the principle of equal strength and minimization of stress intensity factors a theoretical analysis is made of the equistrong hole shape. A criterion and a method for solving the inverse problem of fracture prevention for the plate with a hole under the action of given system of external loads are proposed. A closed system of algebraic equations allowing minimization of the stress state and stress intensity factors depending on geometrical and mechanical characteristics of the plate is obtained. The obtained optimal hole shape provides an increase in the load-bearing capacity of the plate.http://dx.doi.org/10.1155/2019/4931489 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vagif M. Mirsalimov |
| spellingShingle |
Vagif M. Mirsalimov Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks Mathematical Problems in Engineering |
| author_facet |
Vagif M. Mirsalimov |
| author_sort |
Vagif M. Mirsalimov |
| title |
Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks |
| title_short |
Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks |
| title_full |
Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks |
| title_fullStr |
Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks |
| title_full_unstemmed |
Inverse Problem of Elasticity for a Plate Weakened by Hole and Cracks |
| title_sort |
inverse problem of elasticity for a plate weakened by hole and cracks |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2019-01-01 |
| description |
An isotropic elastic plate weakened by a hole and arbitrary system of cracks is considered. Using the principle of equal strength and minimization of stress intensity factors a theoretical analysis is made of the equistrong hole shape. A criterion and a method for solving the inverse problem of fracture prevention for the plate with a hole under the action of given system of external loads are proposed. A closed system of algebraic equations allowing minimization of the stress state and stress intensity factors depending on geometrical and mechanical characteristics of the plate is obtained. The obtained optimal hole shape provides an increase in the load-bearing capacity of the plate. |
| url |
http://dx.doi.org/10.1155/2019/4931489 |
| work_keys_str_mv |
AT vagifmmirsalimov inverseproblemofelasticityforaplateweakenedbyholeandcracks |
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1725009039167848448 |