A new proof that the number of linear elastic symmetries is eight
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Publication:5955246
DOI10.1016/S0022-5096(01)00064-3zbMath1017.74009MaRDI QIDQ5955246
Maurizio Vianello, Stephen C. Cowin, Peter Chadwick
Publication date: 13 February 2002
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Singularities and groups in bifurcation theory. Volume I
- On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
- Symmetry classes for elasticity tensors
- On the number of distinct elastic constants associated with certain anisotropic elastic symmetries
- ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS
- Pressuring, shearing, torsion and extension of a circular tube or bar of cylindrically anisotropic material
- ON THE ACOUSTIC DETERMINATION OF THE ELASTIC MODULI OF ANISOTROPIC SOLIDS AND ACOUSTIC CONDITIONS FOR THE EXISTENCE OF SYMMETRY PLANES
- The Strain-Energy Function for Anisotropic Elastic Materials
- STATIC IMPLICATIONS OF THE EXISTENCE OF A PLANE OF SYMMETRY IN AN ANISOTROPIC ELASTIC SOLID
- Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors
- PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
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