New relations for the stress and strain tensors, which comprise energy pairs, are obtained for a non-linearly elastic material using a similar method to that employed by Novozhilov, based on a trigonometric representation of the tensors. Shear strain and stress tensors, not used previously, are intr
The condition for low stresses in a piecewise homogeneous wedge of non-linearly elastic materials
โ Scribed by M.A. Zadoyan
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 485 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
The low-stress regions, 1:o the points of which zero stressed states at the edges of the contact surfaces correspond, are constructed in the space of physical and geometrical parameters of a piecewise homogeneous wedge of non-linear elastic materials. When these parameters are specified, one can judge the strength of the joint from these zones. If the values of only some of the parameters are known, the remaining parameters when the edges are being designed can be chosen so that the conditions for low stresses are satisfied. In particular, a three-dimensional low-stress region is constructed when the wedge is made of three materials which are strengthened in accordance with a power law.
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