The exact derivative of the exponential of an unsymmetric tensor (Q5931206)
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scientific article; zbMATH DE number 1593997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exact derivative of the exponential of an unsymmetric tensor |
scientific article; zbMATH DE number 1593997 |
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The exact derivative of the exponential of an unsymmetric tensor (English)
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15 July 2002
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exponential map
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tensor exponential function
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consistent linearisation
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single crystal plasticity
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derivative of the tensor exponential
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The author provides an exact series representation for the derivative of the exponential of a generic unsymmetric tensor. NEWLINENEWLINENEWLINEThe computer implementation of the derived formula is straightforward and yields the computation of the derivative of the tensor exponential to any degree of accuracy. In practice, the accuracy of the computed derivatives will be limited by machine precision. NEWLINENEWLINENEWLINEThe author outlines the application of the proposed formula to the numerical treatment of anisotropic rate-dependent and rate-independent finite single crystal plasticity.
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