Title

Extensions Of Kronecker Product Algebra With Applications In Continuum And Computational Mechanics

Abstract

In this study, the Kronecker product algebra is extended so that it can be broadly applied to continuum and computational mechanics (CCM). The Kronecker product algebra is extended to third and fourth order tensors. Following this, the extensions are used to derive compact expressions in continuum mechanics. Finally, block operations are used to derive a simple asymptotic stability criterion for a damped linear mechanical system in which the constituent matrices appear explicitly.

Publication Date

1-1-1999

Publication Title

Acta Mechanica

Volume

136

Issue

3

Number of Pages

223-241

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/BF01179259

Socpus ID

0033363217 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0033363217

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