Journal article
A Remarkable Tensor in Plane Linear Elasticity
- He, Q.-C. Laboratory of Applied Mechanics, Department of Mechanical Engineering, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland
- 1997-9-1
Published in:
- Journal of Applied Mechanics. - ASME International. - 1997, vol. 64, no. 3, p. 704-707
English
It is shown that any two-dimensional elastic tensor can be orthogonally and uniquely decomposed into a symmetric tensor and an antisymmetric tensor. To within a scalar multiplier, the latter turns out to be equal to the right-angle rotation on the space of two-dimensional second-order symmetric tensors. On the basis of these facts, several useful results are derived for the traction boundary value problem of plane linear elasticity.
- Language
-
- English
- Open access status
- closed
- Identifiers
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- DOI 10.1115/1.2788952
- ISSN 0021-8936
- Persistent URL
- https://sonar.rero.ch/global/documents/211370
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