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Strain energy density bounds for linear anisotropic elastic materials

✍ Scribed by M. M. Mehrabadi; S. C. Cowin; C. O. Horgan

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
225 KB
Volume
30
Category
Article
ISSN
0374-3535

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✦ Synopsis

A~tract. Upper and lower bounds are presented for the magnitude of the strain energy density in linear anisotropic elastic materials. One set of bounds is given in terms of the magnitude of the stress field, another in terms of the magnitude of the strain field. Explicit algebraic formulas are given for the bounds in the case of cubic, transversely isotropic, hexagonal and tetragonal symmetry. In the case of orthotropic symmetry the explicit bounds depend upon the solution of a cubic equation, and in the case of the monoclinic and triclinic symmetries, on the solution of sixth order equations.

πŸ“œ SIMILAR VOLUMES

Stress, strain and energy splittings for
Stress, strain and energy splittings for anisotropic elastic solids under volumetric constraints
✍ Carlos A. Felippa; Eugenio OΓ±ate πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 220 KB

We define stress and strain splittings appropriate to linearly elastic anisotropic materials with volumetric constraints. The treatment includes rigidtropic materials, which develop no strains under a stress pattern that is a null eigenvector of the compliance matrix. This model includes as special