Some mechanical and mathematical methods, such as the J integral and interaction integral methods in fracture mechanics, the support vector machine (SVM) method, are combined.
To evaluate DSIFs for both homogeneous and non-homogeneous materials, the interaction integral (conservation integral) originally proposed to evaluate SIFs for a static homogeneous medium is extended to incorporate dynamic effects and material non-homogeneity, and is implemented in conjunction with the finite element method (FEM).
The generalized domain-independent interaction integral (DII-integral) is investigated due to its extremely promising application in solving the stress intensity factors (SIFs) of nonhomogeneous materials with complex interfaces.
We propose a new domain-independent interaction integral (DII-integral), which can evaluate the dynamic stress intensity factors (DSIFs) of an interface crack in nonhomogeneous materials under dynamic loading conditions.
By combining the extended finite element method (XFEM), a domain-independent interaction integral (DII-integral) method is developed to effectively evaluate the mixed-mode dynamic stress intensity factors (DSIFs) of an interface crack in bi-materials with an inclusion close to the crack tip under an impact loading.
Herein, we carried out density functional theory (DFT) to provide insight into this remarkable difference by investigating their geometries, electronic structures, reorganization energies, transfer integrals, intermolecular interactions and band structures.
The interaction integral is based on the J-integral by superimposition of two admissible states and the present formulation does not involve any derivatives of mechanical and electric properties.
Each of the formulation differs in the way auxiliary fields are imposed in the evaluation of interaction integral and each of them results in a consistent form of the interaction integral in the sense that extra terms naturally appears in their derivation to compensate for the difference in the chosen crack tip asymptotic fields of homogeneous and functionally graded piezoelectric medium.
The stress intensity factors are evaluated using interaction integral with the domain form.
The stress intensity factors (SIF) were computed using the interaction integral.
