Curing deformation of the T-shaped integrated structures is discussed in this paper. The mechanism of the deformation is analyzed for the T-shaped integrated structures, and a simple mathematical model for the deformation of the T-shaped integrated structures is established. Compare the mathematical model with the finite element analysis, the results show a good agreement. From the simple mathematical model, it can be seen that both cure shrinkage and thermal expansion are the major factors to produce the deformation of the typical T-shaped integrated structures and the tool-part contraction is the secondary factor. Therefore, it is important for the T-shaped integrated structures to select suitable fabrication process and the appropriate tool. The different geometry and material parameters of the Tshaped integrated structures are studied, and then a regression model is established.

The interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is a semi-analytical method which only requires to discretize the boundary by the interpolating element-free Galerkin (EFG) method without fundamental solution. This method is ideally suited to solve problems containing infinite domain and singular physical fields. This study develops a novel method that couples the IEFG-SBM and the finite element method (FEM) for crack analysis in order to take the full advantages of both IEFG-SBM and FEM. The IEFG-SBM is adopted to model the domain close to the crack tip and the FEM is adopted in the rest of the domain. The corresponding displacement interpolation models are employed for each sub-domain respectively. Through continuity conditions on the interface between IEFG-SBM sub-domain and FEM sub-domain, the coupled formula of the proposed method can be easily derived. The proposed method is simple, effective, and easy to be programmed. Finally, two numerical examples are presented to demonstrate the validity of the proposed method. fracture mechanics, interpolating element-free Galerkin scaled boundary method, finite element method, coupled technique, stress intensity factors

As a newly-developed semi-analytical method, the scaled boundary finite element method is very powerful to deal with singular and unbounded problems. By combining the element-free Galerkin (EFG) method with the scaled boundary method in the frame of improved interpolating moving least-squares (IIMLS) method, an interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is firstly proposed to solve elasticity problems in this paper. In the IEFG-SBM, the solution in the radial direction is obtained analytically and only nodes are required to discretize the boundaries of the computational domain. In addition, higher accuracy and faster convergence are obtained due to the higher continuity of the shape functions in the circumferential direction. The IEFG-SBM does not need the fundamental solution and thus no singular integrations are involved. The shape function of the IIMLS method satisfies the Kronecker delta function property and thus the essential boundary conditions can be imposed directly as in the traditional finite element method. In comparison with the interpolating moving least-squares (IMLS) method proposed by Lancaster and Salkauskas, the key advantage of the IIMLS method is that it does not require singular weight function and thus any weight function used in the MLS approximation can also be applied in the IIMLS method. In addition, there are less unknown coefficients in the IIMLS method than in the conventional moving least-squares (MLS) approximation. Thus fewer nodes are required in the local influence domain and a higher computational accuracy can be reached in the IIMLS-based meshless method. At last, several numerical examples are presented to verify the effectiveness and accuracy of the developed method for the elasticity problem. semi-analytical, scaled boundary method, element-free Galerkin method, improved interpolating moving least-squares method, elasticity