This paper describes the application of the complex variable meshless manifold method (CVMMM) to stress intensity factor analyses of structures containing interface cracks between dissimilar materials. A discontinuous function and the near‐tip asymptotic displacement functions are added to the CVMMM approximation using the framework of complex variable moving least‐squares (CVMLS) approximation. This enables the domain to be modeled by CVMMM without explicitly meshing the crack surfaces. The enriched crack‐tip functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The complex stress intensity factors for bimaterial interfacial cracks were numerically evaluated using the method. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.

In this paper, an Al₂O₃ coated CaF₂ (CaF₂@Al₂O₃) nanocomposite powder is used as the additive phase of a Ti(C,N)-based self-lubricating cermet material. A novel self-lubricating ceramic material with a multilayer core–shell microstructure was prepared using a vacuum hot-pressing sintering process. The results show that the surface of the CaF₂ powder is coated with Al₂O₃, and when introduced into a Ti(C,N)–Mo–Co–Ni material system, it can utilize the high-temperature liquid phase diffusion mechanism of the metal Mo–Co–Ni phase in the sintering process. The CaF₂@Al₂O₃@Mo–Co–Ni multilayer core–shell microstructure is formed in the material. Compared with the direct addition of CaF₂ and Al₂O₃, the hardness and fracture toughness of the material are increased by 24.31% and 22.56%, reaching 23.93 GPa and 9.94 MPa·m^1/2, respectively. The formation of the multilayer core–shell microstructure is the main reason for the improvement of the mechanical properties of the material.

Based on multiscale methods the mechanical behavior for the interface of carbon nanotube andα-alumina is analyzed. The stress transfer between nanotube and alumina is provided by van der Waals interaction. Using cohesive law the relationship between normal stress (shear stress) and displacement is studied, as well as the stress intensity. The stress distribution of the interface is obtained by improved COX model. The strain rate of nanotube-composite is presented when the interfacial slip occurs through the van der Waals interaction.