Abstract
The multiscale analysis method based on traction-separation law (TSL) and cohesive zone law was used to describe the cross-scale defective process of alpha titanium (α-Ti) material with compounding microdefects in this paper. First, the properties of T-S curve and the reasonable range of T-S area relative to the length of defects were discussed. Next, based on the conclusions above, the molecule dynamics analysis of three models ofα-Ti with compounding microdefects was conducted and cross-scaly simulated. The phenomenon, principles, and mechanisms of different compound microscale defects propagation ofα-Ti were observed and explained at atomic scale, and the effects of different microdefects on macrofracture parameters of materials were studied.
Highlights
IntroductionThe basic ideas of the cohesive method are applying traction-separation law (TSL) to simulate cohesive forces among atomic lattice and avoid singularity of crack tip and adopting cohesive separation principles to define the properties of cohesive interface elements
The numerical model of mesoscale elements needs to be built first, based on the micro numerical results, the macrostructure parameters can be estimated according to the multiscale theories, and the obtained parameters can be applied to macrostructure simulation by some methods, such as homogenization method [3]
What is the optimum range of T-S region related to the length of the initial crack is an open issue
Summary
The basic ideas of the cohesive method are applying traction-separation law (TSL) to simulate cohesive forces among atomic lattice and avoid singularity of crack tip and adopting cohesive separation principles to define the properties of cohesive interface elements. Ti alloy has several advantages such as high stress, small density, corrosion resistance, and good deform property under low temperature That is why it is widely used in aviation, shipping, mechanic production, and weapon industry and frequently endures high-speed impact loading during its application [12]. In this paper, taking α-Ti material as an example, the traction-separation law (TSL) method was adopted to discuss the properties of T-S curve as well as the reasonable range of T-S area relative to the defect length. The cohesive zone law multiscale analysis method was adopted to study the effects of different microdefects on macrofracture parameters of materials
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