The modern concept of resilience relies on adequate metrics of the objective and utility functions, pertinent evaluation of the damages and utility drops, multi-hazards modeling, adaptive options and recovery functions. The paper presents some key topics for the theoretical resilience in industrial and urban contexts. Three case studies are investigated:

- The case of industrial tanks: fragments generated by explosions, their trajectory and impact on surrounding facilities, risk and domino effects.

- The case of industrial tanks: effect of tsunamis and fragility curves development.

- A construction site: risk analysis, optimal layouts, guided crowd evacuation, and digital twins.