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Some properties of the set of fourth-order tensors, with application to elasticity

✍ Scribed by Gianpietro Piero


Publisher
Springer Netherlands
Year
1979
Tongue
English
Weight
691 KB
Volume
9
Category
Article
ISSN
0374-3535

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✍ Peter Helnwein πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 168 KB

The mathematical description of physical phenomena requires the use of scalars and tensors of various order. Since many of the second-order and fourth-order tensors used in continuum mechanics possess certain symmetries, a compressed vector or matrix representation, respectively, is frequently used

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IRe(s)l < n, where H~ 1 is the inverse of the Mellin type transform which was first introduced by D. Naylor in his paper [1]. We begin by assuming that A(s) may be written in the form A(s)= p(t")t"-l(R2~t-~-:)dt, in which case it is seen that