BITS Faculty Publications
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Item A pseudo-spring based SPH framework for studying fatigue crack propagation(Elsevier, 2022-09) Islam, Md Rushdie IbneThe existing smoothed particle hydrodynamics (SPH) approaches for propagating fatigue cracks involve either the deletion of the crack front particle or stopping all its interactions in the total Lagrangian form. Here, we adopt the pseudo-spring-based Eulerian form of SPH to model mode-I fatigue crack propagation. For modeling fatigue crack growth, only the interactions between the crack front particle and its neighbors, which display the largest axial stresses in the connected pseudo-springs, are stopped. We show that our framework can determine accurately the mode-I stress intensity factors (SIFs) and capture both the fatigue crack path and the fatigue life of different specimens.Item Numerical modeling of interfacial cracking with soft and hard inclusions(Elsevier, 2023-11) Islam, Md Rushdie IbneIn this work, we use pseudo-spring-augmented smoothed particle hydrodynamics (SPH) framework to understand how the crack paths differ in edge-cracked plates with inclusions when they are made of functionally graded material (FGM) versus homogeneous plates. Modeling crack propagation in such multi-component structural systems is necessary to uncover the underlying failure mechanisms. While traditionally researchers have used mesh-based techniques like the finite element method to understand crack propagation, these methods have limitations. Consequently, mesh-less techniques such as SPH are gaining popularity. After verifying our framework on a plate made of two materials, we compare and contrast the crack path propagation between FGM plates and homogeneous plates, both having soft and hard inclusions. The crack paths get influenced significantly due to the presence of inclusions. Regardless of the type, in presence of soft inclusions, plates fail due to the failure of the inclusion. On the other hand, cracks tend to deflect away from hard inclusions in both plates. The amount of deflection is governed by the relative stiffness of the plate material. Consequently, the deflection is different in FGM plates compared with homogeneous ones.Item SPH-based framework for modelling fluid–structure interaction problems with finite deformation and fracturing(Elsevier, 2024-02) Islam, Md Rushdie IbneUnderstanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. In this work, a computational framework is proposed to investigate the dynamic response of structures, including their damage and fracture behaviour under hydrodynamic load. The proposed framework employs weakly compressible smoothed particle hydrodynamics (SPH) to model the fluid flow and a pseudo-spring-based SPH solver for modelling the structural response. The -SPH technique is implemented to enhance pressure calculations within the fluid phase. The pseudo-spring analogy is employed for modelling damage, where particle interactions are confined to their immediate neighbours. These particles are linked by springs, which do not contribute to system stiffness but determine the interaction strength between connected pairs. It is assumed that a crack propagates through a spring connecting a particle pair when the damage indicator of that spring exceeds a predefined threshold. The proposed framework is extensively validated through existing experimental and numerical data from the literature. The ability of the framework to accurately depict large material deformation, damage and fracture behaviour under hydrodynamic loads is showcased through a few numerical simulations.