Multiple joined prestressed orthotropic layers under large strains.

*(English)*Zbl 1423.74134Summary: A compressible orthotropic nonlinear elastic material model is developed, for which a number of exact analytical solutions are possible for large deformations. The exact solution for the problem of bending of the compound beam with prestrained layers is obtained for large deformations using this model of elastic materials. The solution is obtained using the theory of superposition of large strains. Numerical results are shown. The nonlinear effects and the effects of anisotropy are investigated.

##### MSC:

74B20 | Nonlinear elasticity |

##### Keywords:

nonlinear elasticity; superposition of large strains; bending of multilayer beam; compressible orthotropic materials; exact solution; preliminarily strained layers
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\textit{V. A. Levin} et al., Int. J. Eng. Sci. 133, 47--59 (2018; Zbl 1423.74134)

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