Dual boundary element analysis for fatigue behavior of missile structures

Abstract

The fatigue behavior of a crack in a missile structure is studied using the dual boundary integral equations developed by Hong and Chen (1988). This method, which incorporates two independent boundary integral equations, uses the displacement equation to model one of the crack boundaries and the traction equation to the other. A single domain approach can be performed efficiently. The stress intensity factors are calculated and the paths of crack growth are predicted. In order to evaluate the results of dual BEM, four examples with FEM results are provided. Two practical examples, cracks in a V-band and a solid propellant motor are studied and are compared with experimental data. Good agreement is found.

Modelling of Crack Propagation in Anisotropic Material Using Single-Domain Boundary Element Method

“…With the advances in single-domain BEM in recent decades, it involves two sets of boundary integral equations for the study of cracked media [9][10][11][12][13][14][15][16][17][18][19][20]. The single-domain analysis can eliminate re-meshing problems, which are typical of the FEM and the sub-regional BEM.…”

Analysis of Cohesive Crack Growth by the Element-Free Galerkin Method

“…With the EFG method, a growing crack can be modeled simply by extending the surfaces that correspond to the crack without the need for remeshing. The concept of extending surfaces within the domain to represent crack propagation is actually similar to the treatment of cracks in the boundary element method [12][13][14][15][16]. Several extensions of the EFG method to model crack propagation have been proposed [17][18][19][20][21][22][23][24][25][26][27][28].…”