Determining Extent of Singular-Dominant Region for Interface Cracks Using Deoscillatory Displacement Jumps

Abstract

Because of oscillatory asymptotic mechanical behavior, it is difficult to properly examine the extent of the near-front singular-dominant region for interface cracks. An approach is proposed for generating a near-front “deoscillatory displacement jump” (DDJ) field led by a pure square-root-dominant (i.e., r1/2-dominant) term. In the DDJ approach, the real and the imaginary parts of the complex expressions for near-front displacement discontinuities are decoupled, so oscillatory asymptotic behavior does not explicitly appear in the formulation. This enables direct incorporation of finite-element solutions for proper examination of the extent of the singular-dominant region and the accuracy of near-front numerical solutions.