Application of higher-order tensor theory for formulating enhanced continuum models

A.S.J. Suiker, C.S. Chang

Research output: Contribution to journalArticleAcademicpeer-review

38 Citations (Scopus)


In this paper attention is focussed on the derivation of higher-order isotropic tensors and their application in the formulation of enhanced continuum models. A mathematical theory will be discussed which relates formal orthogonal invariant polynomial functions to isotropic tensors. Using this theory, the second-order to the sixth-order isotropic tensor will be derived. When the tensor order increases, the derivation procedure clearly reveals a repeatable character. Thereafter, an example will be given of how the higher-order isotropic tensors can be used in the formulation of an enhanced continuum model. It will be demonstrated that symmetry conditions significantly reduce the number of material parameters.
Original languageEnglish
Pages (from-to)223-234
JournalActa Mechanica
Issue number1-4
Publication statusPublished - 2000


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