New CZM for Interfacial Crack Growth

Huifen Peng,Yujie Song,Ye Xia

doi:10.1155/2017/1415069

Huifen Peng, Yujie Song + Show 1 more

Open Access

https://doi.org/10.1155/2017/1415069

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Abstract

The cohesive zone model (CZM) has been widely used for numerical simulations of interface crack growth. However, geometrical and material discontinuities decrease the accuracy and efficiency of the CZM when based on the conventional finite element method (CFEM). In order to promote the development of numerical simulation of interfacial crack growth, a new CZM, based on the wavelet finite element method (WFEM), is presented. Some fundamental issues regarding CZM of interface crack growth of double cantilever beam (DCB) testing were studied. The simulation results were compared with the experimental and simulation results of CFEM. It was found that the new CZM had higher accuracy and efficiency in the simulation of interface crack growth. At last, the impact of crack initiation length and elastic constants of material on interface crack growth was studied based on the new CZM. These results provided a basis for reasonable structure design of composite material in engineering.

Highlights

Interface in the composite materials is the common surface area of each connecting phase and it contributes to the transmission of mechanical property
When material 1 and material 2 are the same material, Table 2 shows the relative error of the wavelet finite element method (WFEM) calculation results compared to the conventional finite element method (CFEM) calculation results, and it indicated that the WFEM can obtain higher accuracy with less elements and nodes and that it is suitable to solve the problem of interface crack growth
The new cohesive zone model (CZM) based on the WFEM was constructed and the corresponding wavelet interface element stiffness matrix was obtained by (17)

Summary

Introduction

Interface in the composite materials is the common surface area of each connecting phase and it contributes to the transmission of mechanical property. Many scholars, both within the country and abroad, have carried out studies on the problem of interface crack growth, by using different numerical methods [5,6,7,8,9]. In most of the finite element applications of the CZM, it is natural that WFEM is a new numerical calculation method which has been gaining lot of interest in the last decade. It uses the scaling function or the wavelet function as interpolation function instead of the traditional polynomial, and its main characteristics are as follows: lower undetermined coefficient, higher approximation accuracy, strong localization performance, and multiresolution analysis.

Wavelet Cohesive Zone Model

Numerical Examples

30 GPa 80 GPa

Conclusions