Abstract
On the basis of the developed model of quasibrittle medium the brittle and quasibrittle failure of composite ceramic materials with zirconium dioxide matrix and various percentage of hardening particles of corundum are studied numerically. The theory of the damaged media is applied in the calculations. It is shown that failure process educes in 2 stages - a relatively slow quasistationary phase of accumulation of inelastic deformations and damages in all hierarchy of scales and superfast catastrophic phase - a blow-up regime when the failure process reaches the macro-scale and there is a macro-crack formation. The failure process in the proposed model assumes to be completed when the damage function reaches its maximum value and the strength of the composite evolve to zero.
Highlights
Constructional ceramic composites have received a wide practical application in the industry because of their high unit strength, the raised toughness, hardness, crack stability, high resistivity to fatigue breakdown etc
It is shown that failure process educes in 2 stages - a relatively slow quasistationary phase of accumulation of inelastic deformations and damages in all hierarchy of scales and superfast catastrophic phase - a blow-up regime when the failure process reaches the macro-scale and there is a macro-crack formation
According to the approach of physical mesomechanics [1] and ideas of paper [2] the loaded solid is the nonlinear dynamic system which evolution in fields of operating forces completely corresponds to the fundamental features of evolution of nonlinear dynamic systems
Summary
Constructional ceramic composites have received a wide practical application in the industry because of their high unit strength, the raised toughness, hardness, crack stability, high resistivity to fatigue breakdown etc. In the considered case of brittle or quasibrittle failure (and the failure of any materials and constructions, plastic metals, brittle concrete, rocks, geomedia etc.) the preparatory process of accumulation of inelastic deformations and damages in brittle media is localized in certain areas. This preparatory quasistationary stage because of the self-organized criticality of solid as nonlinear dynamic system passes sooner or later in the superfast catastrophic stage – blow-up regime by S.P. Kurdyumov [2, 4, 7]. THE NUMERICAL SIMULATION RESULTS OF BRITTLE AND QUASI-BRITTLE FAILURE OF COMPOSITE
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