BEM-based algorithm for composite materials with Gurtin–Murdoch interfaces: Error analysis and effective parameters

Abstract

The effective parameters of the composite materials with Gurtin–Murdoch ((G-M) interfaces are analyzed by standard boundary element method (BEM)-based equivalent inhomogeneity technique (EIT). The physical quantities all over the domain are first compared with the analytical and semi-analytical results to validate accuracy. The effective parameters are then obtained by the present numerical EIT. Since interactions have been considered, we believe our results are more accurate than traditional estimations, such as the generalized self-consistent model (GSCM). Due to the numerical treatment is performed to the present method is more flexible to simulate the effective parameters of clusters with complex geometries.

Keywords:

• Boundary element method
• convergence analysis
• effective parameters
• equivalent inhomogeneity
• Gurtin–Murdoch interfaces

Acknowledgments

Zhilin Han gratefully acknowledges the support from the National Natural Science Foundation of China through NSFC No. 12002084 and the Fundamental Research Funds for the Central Universities No. 20D110913. Yongcheng Liang gratefully acknowledges the support by NSFC No. 51671126. Xingwei Zheng gratefully acknowledges the support by NSFC No. 51775329.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China through NSFC No. 12002084, the Fundamental Research Funds for the Central Universities in China No. 20D110913, and NSFC.