On symmetries and anisotropies of classical and micropolar linear elasticities: A new method based upon a complex vector basis and some systematic results
type: Item
instance of: scholarly article
title: On symmetries and anisotropies of classical and micropolar linear elasticities: A new method based upon a complex vector basis and some systematic results
zbMATH Open document ID: 0916.73004
DOI: 10.1023/A:1007448316434
author: K. Appert
published in: Journal of Elasticity
publication date: 1998-09-28T00:00:00Z
review text: The author presents a complete and unified study of symmetries and anisotropies of classical and micropolar elasticity tensors. Using a new method based on a well-chosen complex vector basis and algebra of complex tensors, the author proves that an arbitrary elasticity tensor can possess only 1-fold, 2-fold, 3-fold, 4-fold or \(\infty\)-fold symmetry axes. Thus the completeness of crystallographic symmetries together with the isotropic symmetry is put into evidence for classical and micropolar elasticity tensors. Additionally, the author presents symmetry classes for classical Cauchy and Green elasticity tensors as well as for micropolar elasticity tensors, and mentions their group properties.
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 1203760
zbMATH Keywords: algebra of complex tensors
zbMATH Keywords: symmetry axes
zbMATH Keywords: crystallographic symmetries
zbMATH Keywords: isotropic symmetry
reviewed by: Petre P. Teodorescu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1203760