Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading

Abstract

Transient elastodynamic crack analysis in two-dimensional (2D), layered, anisotropic and linear elastic solids is presented in this paper. A time-domain boundary element method (BEM) in conjunction with a multi-domain technique is developed for this purpose. Time-domain elastodynamic fundamental solutions for homogenous, anisotropic and linear elastic solids are applied in the present time-domain BEM. The spatial discretization of the boundary integral equations is performed by a Galerkin-method, while a collocation method is adopted for the temporal discretization of the arising convolution integrals. An explicit time-stepping scheme is developed to compute the unknown boundary data and the crack-opening-displacements (CODs). To show the effects of the crack configuration, the material anisotropy, the layer combination and the dynamic loading on the dynamic stress intensity factors and the scattered elastic wave fields, several numerical examples are presented and discussed.

2D Elastodynamics of Interface Microcracks: The Effect of Cracks Interaction

“…The dynamic stress intensity factors (opening and transverse shear modes) were computed as functions of the frequency of the incident wave. It was also shown that with decreasing frequency of the loading the dynamic solution tends to the static one, and the obtained numerical results are in a very good agreement with the static solutions [5][6][7].…”

“…2 and 3, where 3-D distributions of normal and tangential displacements at the bonding interface are given for the dimensionless wave number k ð1Þ 2 a ¼ wa=c ð1Þ 2 ¼ 0:25 and the dimensionless distance between cracks d/a=5. The given displacements are normalized by the factor 2μ 0 /aσ 0 , where σ 0 is the stress amplitude of the incident wave and the factor μ 0 was specified as follows [7]: …”

“…Then they can be treated as interface cracks between half-spaces with the properties of adjacent layers of the composite material. A considerable amount of works was devoted to the static loading of composite materials with cracks and delaminations, see, for example [5][6][7]. However, taking into account the fact that the components of structures are frequently subjected to dynamic loading, the understanding of the mechanism of composite materials dynamic fracture has a great importance [2,8,9].…”

Modelling Crack Closure for an Interface Crack Under Harmonic Loading

“…Due to the substantially more complex solution, if compared to the case of cracks in homogeneous materials, the possible contact interaction was neglected in the above papers. A similar simplification was also used by Bouden et al (1991), Zhang (1991), Qu (1994Qu ( , 1995, Wang and Gross (2001), Mykhas'kiv et al (2009), Wünsche et al (2009). To overcome the difficulties and to avoid the regularization and numerical evaluation of the hypersingular integrals, the modified system of boundary integral equations was proposed by Menshykova et al (2009).…”

A boundary integral equation method in the frequency domain for cracks under transient loading

“…A time domain BEM in conjunction with a multi-domain technique was developed in [31] for transient dynamic interior or interface crack analysis in 2D, layered, anisotropic elastic solids. In the paper, the effects of the crack configuration, the material anisotropy, the layer combination and the dynamic loading on the dynamic stress intensity factors and the scattered elastic wave fields were investigated.…”