Journal Article

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

Kuna, M., Sladek, J., Hirose, S., Wünsche, M., Zhang, Ch, Sladek, V.

2009

Overview

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.

• Publisher: Springer Netherlands,Springer,Springer Nature B.V
• Subject: Anisotropy / Automotive Engineering / Boundary element method / Boundary integral method / Characterization and Evaluation of Materials / Chemistry and Materials Science / Civil Engineering / Classical Mechanics / Collocation methods / Convolution / Convolution integrals / Discretization / Dynamic loads / Dynamics / Elastic anisotropy / Elastic scattering / Elastic waves / Elastodynamics / Exact sciences and technology / Fracture mechanics / Fracture mechanics (crack, fatigue, damage...) / Fundamental areas of phenomenology (including applications) / Galerkin method / Impact loads / Integral equations / Interfacial cracks / Loads (forces) / Materials Science / Mathematical analysis / Mechanical Engineering / Original Paper / Physics / Solid mechanics / Static elasticity (thermoelasticity...) / Stress intensity factors / Structural and continuum mechanics / Time domain analysis / Two dimensional analysis / Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)