IEC 60050 - International Electrotechnical Vocabulary

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IEVref:	102-03-49		ID:
Language:	en		Status: Standard

Term:	Kronecker tensor
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Definition:	tensor of the second order with components $T_{i j} = δ_{i j}$ where $δ_{i j}$ is the Kronecker delta, equal to 1 if i = j and 0 if i ≠ j Note 1 to entry: The components of the Kronecker tensor are independent of the base used. The inner product of the Kronecker tensor and a tensor or a vector is equal to this tensor or vector. Note 2 to entry: When the properties of an anisotropic medium are represented at each point by a tensor quantity of the second order, this quantity reduces, in an isotropic medium, to the product of the Kronecker tensor and a scalar quantity. In practice, the quantity is then considered as a scalar quantity.
Publication date:	2008-08
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Internal notes:	2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
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T ij = δ ij MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfadaWgaaWcba GaamyAaiaadQgaaeqaaOGaeyypa0dcdaGae8hTdq2aaSbaaSqaaiaa dMgacaWGQbaabeaaaaa@4073@ δ ij MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r7aKnaaBa aaleaacaWGPbGaamOAaaqabaaaaa@3C81@ ijijNote 1 to entry: The components of the Kronecker tensor are independent of the base used. The inner product of the Kronecker tensor and a tensor or a vector is equal to this tensor or vector. Note 2 to entry: When the properties of an anisotropic medium are represented at each point by a tensor quantity of the second order, this quantity reduces, in an isotropic medium, to the product of the Kronecker tensor and a scalar quantity. In practice, the quantity is then considered as a scalar quantity.