Consistent Equations of Nonlinear Rectilinear Laminated Bars Theory in Quadratic Approximation
Two versions of one-dimensional equilibrium equations for rectilinear laminated bars on basis of S.P. Timoshenko's model subject to transversal compression for each layer and describing geometrical nonlinear deformation by arbitrary displacements and small strain have been derived. The equation...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2017-03-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | http://kpfu.ru/portal/docs/F993012017/159_1_phys_mat_7.pdf |
| Summary: | Two versions of one-dimensional equilibrium equations for rectilinear laminated bars on basis of S.P. Timoshenko's model subject to transversal compression for each layer and describing geometrical nonlinear deformation by arbitrary displacements and small strain have been derived. The equations are based on the earlier proposed consistent theory of elasticity relations, the usage of which does not lead to spurious bifurcation solutions. The first version corresponds to contact problem statement, when contact stresses are introduced in the coupling points of layers as unknown parameters. The second version corresponds to preliminary satisfaction to the kinematic coupling conditions of layers with respect to displacements. |
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| ISSN: | 2541-7746 2500-2198 |