The in situ nano-TiCx/Al–Zn–Mg–Cu composites with different TiCx content (20, 25 and 30 vol.%) were successfully fabricated by combustion synthesis and hot press consolidation in Al–Ti–C/CNTs systems. The compressive properties and abrasive wear resistance of the composites improved with the increase in the TiCx content. The transformation of carbon source from pure C black to the mixture of C black and CNTs to pure CNTs in Al–Ti–C/CNTs systems leaded to a significant improvement in the compressive properties and wear resistance of the composites as well as a significant decrease in the average size of TiCx particles. The average size of the nano-TiCx particles in 30 vol.% TiCx/Al–Zn–Mg–Cu composite synthesized by the carbon source of CNTs reached 81 nm, moreover, the yield strength (σ0.2), the ultimate compression strength (σUCS) and the fracture strain (ɛf) of the composite reached 597 MPa, 882 MPa and 21.7%, respectively.
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In this paper we discuss the oscillatory and asymptotic behavior of a second order nonlinear dierential equation with perturbation and establish two theorems which develop and generalize some known results.
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In this paper, we establish some nonlinear delay discrete inequalities which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay difference equations.
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This paper is concerned with a iterative differential equation x'{z) = x{p(z) + bx(z)). By constructing a convergent power series solution y(z) of a companion equation of the form betay'(3betaz) = y'(z)[y(beta2z) - p(y(betaz)]], analytic solutions of the form [y(betay- l(z)) - p(z)]/b for the original differential equation are obtained.
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