ABSTRACT
Resilience of an object (e.g., an individual structure, or a system consisting of multiple interacting structures) refers to the object’s ability to withstand, recover from, and adapt to disruptive events. In this paper, we introduce a new concept of nonresilience curve, which measures the nonresilience (i.e., 1 minus resilience) of an object conditioned on a hazard intensity measure. The nonresilience curve is an extension of the fragility curve, and integrates the multiple post-hazard damage states. We will demonstrate the formulation and applicability of the nonresilience curves for individual structures and for systems. When only limited data points associated with the target nonresilience curve are available, we can use the cumulative distribution function of a lognormal distribution to approximate the shape of the nonresilience curve (which is similar to the case of a fragility curve). Based on the nonresilience curve, the nonresilience of an object can be evaluated in a fully probabilistic manner by further incorporating the uncertainty associated with the intensity measure, based on the law of total probability.
