Abstract
A numerical procedure is developed for predicting the parameters of a yield criterion for metal-matrix composites on the basis of known mechanical properties of the matrix and fibers. The macrocriterion of yielding is taken in the form of an invariant quadratic function of average stresses, with the use of a fourth-rank tensor. Transition to the plastic state is fixed using a FEM analysis of the distribution of stresses within the minimum representative volume of composite. A new procedure to simulate the periodicity conditions for the representative volume at a uniform average stress state of composite is proposed. A numerical analysis showed that the structure of yield function has to reflect the possibility of plastic deformations of composite in hydrostatic macroloading even if the matrix and fibers do not deform plastically at such a loading. For an orthogonally reinforced boron-aluminum composite, components of its yield tensor are determined, and convexity of the yield surface is established. Yield surfaces are constructed for different plane stress states of the composite.
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