Abstract

Functional gradient materials (FGMs) have tremendous potential due to their characteristic advantage of asymptotic continuous variation of their properties. When an FGM is used as a coating material, damage and failure of the interface with the substrate component can be effectively inhibited. In order to study the dynamic crack propagation in FGM coatings, a new method, peridynamics (PD), was used in the present study to simulate dynamic fractures of FGM coatings bonded to a homogeneous substrate under dynamic loading. The bond-based PD theory was employed to study crack propagation and branching in the FGM coating. The influences of the coating gradient pattern, loading, and the geometry and size of the structure on crack curving and propagation under impact loading were investigated. The numerical results show that different forms of the elastic modulus of graded material, the geometry of the structure, and the loading conditions have considerate effects on crack propagation in FGM coatings, but a specific form of elastic modulus had a limited effect on the dynamic fracture of FGM coating.

Highlights

  • With the development of modern science and technology, people are demanding materials of higher and higher quality, and the proposal of functional gradient materials (FGMs), a special type of material, has aroused much attention

  • It should be noted that when an FGM is used as a coating material, it is affected by nodes to maintain the consistency of the mechanical property parameters of the material

  • Crack Propagation and Deflection of the FGM Coating Corresponding to Different Gradient Forms

Read more

Summary

Introduction

With the development of modern science and technology, people are demanding materials of higher and higher quality, and the proposal of functional gradient materials (FGMs), a special type of material, has aroused much attention. Rousseau and Tippur re-studied the deflection problem of cracks in the mixed-mode dynamic fracture experiment reported in Reference [19] by using the cohesive-zone finite element method, and they found that when the crack is located in the lower gradient area, the deflection is more obvious [20]. Silling and Askari used bond-based PD to investigate the propagation of brittle, dynamic cracks and the effect of the sphere on fragile targets [23] Bobaru and his co-authors discussed a PD analysis of dynamic crack growth and branching of brittle materials, and proved the reliability of the PD method [24,25]. Based on the PD method, we investigated and simulated the dynamic fracture behavior of FGM coatings with a homogeneous substrate.

The PD Formulation for FGMs
Any directly with with point point x’
PD Model for FGM
The interactionofofparallel parallelbonds bonds between points
Determination of the Interaction Function f
Critical Relative Elongation s0
Convergence Studies in Dynamic Crack Branching of FGMs
Problem Setting
Δt-Convergence of FGM Samples
Simulation of FGM Coating—Substrate
10. Contours
13. Contours
The coating used inwere this
Conclusions
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call