Stress-strain state near sharp spike of rigidly reinforced soft inclusion (Q2759502)
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scientific article; zbMATH DE number 1681843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stress-strain state near sharp spike of rigidly reinforced soft inclusion |
scientific article; zbMATH DE number 1681843 |
Statements
12 December 2001
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elasticity
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sharp spike
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soft inclusion
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matched asymptotic expansions
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approximate solution
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0.8904687
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0.8794741
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0.8586738
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0.85851514
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0.8556059
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0.85386777
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Stress-strain state near sharp spike of rigidly reinforced soft inclusion (English)
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An antiplane dynamic problem of elasticity is considered. The problem contains two small parameters: (i) ratio of shear moduli of inclusion and matrix, and (ii) parameter characterizing ``sharpness'' of inclusion. The method of matched asymptotic expansions is used to establish relationship between different asymptotic expansions and thus to explain the phenomenon of sudden change in behavior of stresses in the vicinity of a rigid reinforced inclusion when its shear modulus tends to zero.
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