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The exact derivative of the exponential of an unsymmetric tensor

โœ Scribed by E.A. de Souza Neto

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
95 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

An exact series representation for the derivative of the exponential of a generic unsymmetric tensor is derived. The computer implementation of the derived formula is straightforward and allows the computation of the derivative of the tensor exponential to any desired degree of accuracy. In practice, the accuracy of the computed derivatives will be limited by machine precision. The application of the proposed formula to the numerical treatment of anisotropic rate-dependent and rate-independent ยฎnite single crystal plasticity is outlined.

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