A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility

摘要: Abstract Some time ago a theory of elastic fluids such as concentrated polymer solutions and melts was presented based on the concept multitude penetrating statistical continua. The configurations these depend deformation history, their relative motion is determined by coordinated part-stress in connection with tensorial mobility which function all configuration tensors. simples special case thise given model only one tensor both stress tensors on. In this paper further specialization introduced assuming linear dependency well tensor. relationship to modified retation model, recently Curtiss Bird, hereby established. This rate-type non-linear tensors, respectively, nevertheless permits analytic some most important types flow. These are explicitly for steady transient extensional shear flows. Besides thinning non-vanishing first second normal-stress differences, an viscosity finite asymptotic values non-exponential relaxation start-up curves predicted, stress-overshoot at least