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The News of Altai State University
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Content of 1-1(73) 2012
Management, Computer Facilities and Computer Science
Mathematics and Mechanics
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1-1(73)2012
Mathematics and Mechanics

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V.D. Kurguzov, Yu.V. Nemirovsky

Mathematical Model of Dynamic Extract of Plastic-Rigid Metal Fiber from Metal Composite

The mathematical model is constructed for describing joint deformation of a fiber and a binder under the influence of dynamic loadings. Materials of a fiber and a binder are plastic-rigid with linear hardening. The researchers formulate the system of differential equations describing movement of absolutely firm fiber and binder№s plastic deformation. The developed numerically-analytical method allows us to define residual displacement of a fiber after removal of external loading. Procedure of iterative specification of shear stress in a zone of fiber-binder contact and borders of a plasticity zone in binder on each time step is offered.
Key words: plastic-rigid fiber, dynamic extract, metal composite.

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