Stochastic fracture analysis of centrally cracked porous FGM plate by extended isogeometric analysis (XIGA) subjected to thermo-mechanical loadings

This research focuses on performing a thermo-mechanical fracture analysis of cracked plate made from porous functionally graded materials (FGMs) by extended isogeometric analysis (XIGA) technique. Investigation of three different types of cracked FGM plates, featuring either homogeneous or nonhomogeneous porosity distributions. Specifically, the analysis targets centre-cracked porous FGM plates for evaluation of stress intensity factors (SIFs) under thermo-mechanical loading conditions, which represents combined impact of mechanical stresses and temperature gradient. The study explores the impact of factors like crack angle, crack length, material gradation, porosity distribution, and porosity volume fraction on SIFs. Additionally, it incorporates stochastic variations in material crack length, crack angle, and elastic properties. The study’s accuracy is supported by a comparison with results from Monte Carlo Simulations (MCS), showing a strong correlation that validates the precision and reliability of the proposed stochastic XIGA approach for analyzing fractures in porous FGMs subjected to thermo-mechanical loads. The study offers crucial insights into how cracked FGM plates with different porosity distributions behave under thermo-mechanical loading. These findings can serve as valuable guidance in the design of structures incorporating porous FGMs.