cohesionremain

Cohesionremain is a coined term used in materials science and network theory to describe the persistence of internal cohesion within a system after external perturbations are removed. It captures how much of the system’s cohesive state endures over a defined relaxation period.

Definition and scope. In materials contexts, cohesionremain refers to the fraction of initial cohesive strength that remains after a perturbation such as a mechanical load, thermal cycle, or chemical exposure. It can be expressed as a ratio C(t0+Δt) / C0, where C0 is the initial cohesion and C(t0+Δt) is the cohesion measured after time Δt. In network contexts, cohesionremain can describe the normalized remaining connectivity or clustering after a perturbation like node or edge removal.

Measurement. Standard approaches include stress-relaxation or creep tests for materials, as well as controlled perturbations (temperature, moisture, chemical exposure) followed by time-resolved cohesion measurements. In networks, simulated or empirical perturbations (random removal, targeted attacks) assess how quickly the largest connected component or global clustering declines and how much remains over time.

Applications and implications. Cohesionremain is discussed as a metric for durability and design, informing the selection of materials and architectures in polymers, composites, ceramics, gels, and porous media. In social or biological networks, it provides a lens to study the persistence of group cohesion under perturbations.

Relation to other concepts. It is complementary to resilience (recovery speed) and toughness (failure energy) and should be distinguished from static cohesion by emphasizing post-perturbation persistence.

Status. The term is used in a limited set of studies and has not achieved universal standardization; definitions and measurement protocols vary across disciplines.