539.36 Modeling of deformation of layered elastic-plastic composites based on microstructural flow theory

Dimitrienko Y. I. (Bauman Moscow State Technical University), Черкасова М. С. (Bauman Moscow State Technical University)

LAYERED COMPOSITES, PLASTIC FLOW THEORY, MICROSTRUCTURAL THEORY, TRANSVERSE ISOTROPY


doi: 10.18698/2309-3684-2024-4-318


The problem statement of calculation of deformation of layered elastic-plastic composites based on generalized flow theory is proposed. As constitutive relations, it is proposed to use equations of so-called microstructural theory of plastic flow for transversely isotropic media. In this theory, constants of the model of anisotropic theory of composite flow are determined by means of direct solution of local problems of plasticity on periodicity cell, and also components of stress concentration tensors are calculated, allowing calculation of microstress in components of composite. An example of numerical solution of the problem on calculation of stresses in thin elastic-plastic layered composite pipe under pressure is given. Composite layers obey isotropic theory of plastic flow with kinematic hardening; the case is considered when periodicity cell consists of two elastic-plastic layers: steel-aluminum. Using the proposed method for solving the problem, it is shown that the level of micro-stresses in the composite significantly exceeds the values of macro-stresses in the composite structure, so their consideration is necessary to improve the accuracy of calculations of deformation and strength of composite structures.


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