Dynamic Fracture Analysis of Moving Mode I Collinear Cracks in Monoclinic Crystalline Strip: An Analytical Approach Using Hilbert Transform

ABSTRACT The objective of this study is to analyze the dynamic propagation of Mode I collinear cracks in a prestressed monoclinic crystalline strip subjected to punch loading. The study focuses on the combined effect of horizontal and vertical prestress on fracture parameters in anisotropic materials. Within the framework of linear elastic fracture mechanics, the moving boundary value problem is formulated using the Galilean transformation and reduced to coupled Cauchy‐type singular integral equations, solved analytically through the Hilbert transform. Explicit expressions for crack opening displacement and stress intensity factors are derived. Results show that prestress strongly modifies fracture behavior, with anisotropy, crack velocity, and loading type (localized versus uniform) significantly influencing the response. Localized loading produces stronger effects in anisotropic crystals compared to isotropic ones. The novelty of this work lies in its analytical treatment of dynamic fracture in prestressed anisotropic crystals, offering insights for the design and reliability of micro‐electro‐mechanical systems (MEMS), acoustic devices, and biosensors.