A wide range of computational approaches have been developed over recent decades to model failure mechanisms in materials, including fracture, damage, strain localization, buckling, and erosion. Despite this progress, major challenges remain—particularly in achieving accurate, efficient, and predictive models. These include the calibration and validation of models under complex loading, the representation of material instabilities and evolving microstructures, and the development of robust and scalable numerical schemes. Moreover, many modern applications increasingly demand modeling of material failure under multiphysics conditions—such as thermal, chemical, fluid, or electric stimulation—arising in natural systems and engineered devices. These coupled environments introduce significant complexity but are essential for realistic and high-fidelity simulations. This mini-symposium aims to bring together advances in computational modeling of damage and fracture, with a special emphasis on multiphysics scenarios. Topics of interest include, but are not limited to: • Innovative techniques for representing failure (e.g., phase-field, regularized damage, XFEM, CZM, meshless methods, peridynamics, high-order continua) • Multiphysics-informed constitutive and phenomenological models for fracture initiation and growth • Mixed finite element and multiscale formulations for coupled physical processes • Failure mechanisms under coupled fields (e.g., thermomechanical, electrochemical, fluid-driven, hygrothermal) • Solver and algorithmic developments for nonlinear, multiphysics systems (e.g., monolithic/staggered schemes, preconditioning) • Advances in discretization and modeling of instabilities (e.g., buckling, localization, softening) • Model calibration and validation with experiments targeting fracture, shear bands, and microstructural evolution • Machine learning and data-driven approaches for accelerated, physics-informed modeling of failure under multiphysics conditions • Application-focused studies including hydraulic fracturing, corrosion, thermo-plasticity, soft matter rupture, and fluid-structure interactions