PSI - Issue 58

P.C. Sidharth et al. / Procedia Structural Integrity 58 (2024) 115–121 P.C. Sidharth and B.N. Rao / Structural Integrity Procedia 00 (2019) 000–000

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4. Conclusions In conclusion, this study has leveraged the MOOSE (Multiphysics Object-Oriented Simulation Environment) to predict crack propagation in functionally graded materials utilizing the phase field model. The implementation of exponential finite element shape functions for discretizing the domain has proven to be an effective and accurate approach for modeling these complex materials. The incorporation of MOOSE's inbuilt adaptive mesh refinement technique has been instrumental in achieving precision in the prediction of force and displacement responses across a range of loading conditions, including tension and shear. Notably, the results obtained through this comprehensive simulation framework align closely with existing data in the literature, reaffirming the reliability and robustness of the MOOSE-based approach. This success in replicating established findings underscores the software's capability to handle multifaceted multiphysics problems and demonstrates its value as a vital tool in the field of materials science and engineering. As we continue to explore the boundaries of computational materials research, MOOSE stands as a trusted and proficient resource for advancing our understanding of functionally graded materials and their mechanical behavior, offering a significant contribution to the scientific community and facilitating future breakthroughs in the field. References Ambati, M., Gerasimov, T., De Lorenzis, L., 2015. A review on phase-field models of brittle fracture and a new fast hybrid formulation. Computational Mechanics 55(2), 383–405. Hirshikesh, Natarajan, S., Annabattula, R. K., Martínez-Pañeda, E., 2019. Phase field modelling of crack propagation in functionally graded materials. Composites Part B: Engineering 169, 239–248. Kuhn, C., Müller, R., 2010. A continuum phase field model for fracture. Engineering Fracture Mechanics 77, 3625–3634. Li, Z., Shen, Y., Han, F., Yang, Z., 2021. A phase field method for plane-stress fracture problems with tension-compression asymmetry. Engineering Fracture Mechanics 257, 107995. Miehe, C., Welschinger, F., Hofacker, M., 2010. Thermodynamically consistent phase-field models of fracture: Variational principles and multi field FE implementations. International Journal for Numerical Methods in Engineering 83, 1273–1311.