Bounds on the off-diagonal coefficients of the homogenized constitutive tensor of a composite material (Q1352668)
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scientific article; zbMATH DE number 980279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on the off-diagonal coefficients of the homogenized constitutive tensor of a composite material |
scientific article; zbMATH DE number 980279 |
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Bounds on the off-diagonal coefficients of the homogenized constitutive tensor of a composite material (English)
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10 May 1998
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The authors deal with a simple procedure to compute bounds on the off-diagonal coefficients of the overall constitutive tensor \(\overline C\) of a composite material. This procedure uses two other tensors, say \(C^+\) and \(C^-\), obtained such that both \(C^+ - \overline C\) and \(\overline C - C^-\) are positive-semidefinite. This implies several inequalities to be satisfied by the coefficient of \(\overline C\). In order to show the effectiveness of the proposed procedure, a numerical example is presented.
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inequalities
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auxiliar positive-semidefinite tensors
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