Gradient Theory of Media with Conserved Dislocations: Application to Microstructured Materials
In the paper, a rigorous continuous media model with conserved dislocations is developed. The important feature of the newly developed classification is a new kinematic interpretation of dislocations, which reflects the connection of dislocations with distortion, change in volume (porosity), and free forming. Our model generalizes those previously derived by Mindlin, Cosserat, Toupin, Aero–Kuvshinskii and so on, and refines some assertions of these models from the point of view of the account of adhesive interactions.
KeywordsHelmholtz Equation Adhesive Interaction Gradient Theory Gradient Model Interphase Layer
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- 1.Aero, L., Kuvshinskii, E.V.: The fundamental equations of the theory of the elasticity of a medium of particles with rotary interactions. Fiz. Tverd. Tela 2, 1399–1409 (1960) Google Scholar
- 3.Belov, P., Lurie, A.: Continuous model of micro-heterogeneous media. Physical Mesomech. 10(6), 49–61 (2007) Google Scholar
- 4.Belov, P., Lurie, A.: To a general geometrical theory of defect-containing media. Appl. Math. Mech. 73(5), 833–848 (2009) Google Scholar
- 5.Cosserat, E., Cosserat, F.: Théorie des Corps Déformables. Hermann, Paris (1909) Google Scholar
- 10.Lurie, S., Belov, P., Tuchkova, N.: The application of the multiscale models for description of the dispersed composites. Int. J. Comput. Mater. Sci. A 36(2), 145–152 (2005) Google Scholar