Bi-modal cohesive energies

A unified treatment of several aspects of material behavior is provided by a one-dimensional model based on the decomposition of the energy of a body into the sum of two paxts, bulk and cohesive. This note deals with a specific form of the cohesive energy, called bi-modal. Using the example of a bar subject to axial elongation, it is shown that a cohesive energy of this form captures two aspects of material response which, at a first glance, look very different: stress oscillation, and damage.