Unrestricted.2016-11-142012-06-012016-11-142007-05http://hdl.handle.net/2346/9081A stochastic differential equation (SDE) model is developed for fibers undergoing breakage during textile processing steps. The SDE model generalizes a classic deterministic model for fiber breakage. Furthermore, SDE model compares well with Monte Carlo computations for different fiber breakage phenomena. Also calculations with the SDE model exhibit a bimodal distribution in fiber lengths which is commonly seen in data.application/pdfengBreakageFiberModelStochastic differential equationStochasticThesis