in this work, improved heat generation models are developed for straight and tapered shoulder geometries with different tool pin profiles in friction stir welding. the models are developed considering the welding process as a combination of the pure sliding and the pure sticking conditions. from the results, the amount of heat generation is directly proportional to the number of edges in the pi...

*Correspondence: [email protected] School of Science, Dalian Jiaotong University, Dalian, 116028, P.R. China Abstract The paper is devoted to studying a viscous thin-film equation with a singular diffusion term and the periodic boundary conditions in multidimensional space, which has a lot of applications in fluids theory such as draining of foams and the movement of contact lenses. In order to...

Under transactions costs, and generally any sort of friction, economic agents, acting dynamically in a stochastic environment, may find it optimal, in some region of the state space, to take no action at all. Action is triggered when the state of the economic system reaches the boundary of the ‘region of no action’. In this note, first-order conditions for the choice of the region of no action,...

We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theo...