A model of squeeze-film behavior is developed based on Stokes' equations for viscous, compressible isothermal flows. The flow domain is an axisymmetrical, unit cell approximation of a planar, periodic, perforated microstructure. The model is developed for cases when the lubrication approximation cannot be applied. The complex force generated by vibrations of the diaphragm driving the flow has t...

This paper proposes a new fundamental model of deformable objects for real-time and interactive applications. It is based on the mass-and-spring model, but in which the unit of elastic force definition for computation of dynamics is expanded from a spring to a volume element divided by the boundaries formed by mass-and-spring lattice. Displacements of the vertices of the volume element are defi...

The nonequilibrium work relation allows for the calculation of equilibrium free energy differences between states based on the exponential average of accumulated work from irreversible transitions. Here, we compare two distinct approaches of calculating free energy surfaces from unidirectional single-molecule pulling experiments: the stiff spring approximation and the Hummer-Szabo method. First...

background and aims: elastomeric chains and niti coil springs are two major traction aids in orthodontic tooth movements. force degradation occurs over time in both groups, with higher percentages in elastic chains. the effects of environmental factors and some mouth rinses on this force decay have been previously studied. no study has been performed to evaluate the effect of current popular mo...

The aim of this paper is to present the existence and uniqueness result for the diffusive Peterlin viscoelastic model describing the unsteady behavior of some incompressible polymeric fluids. The polymers are treated as two beads connected by a nonlinear spring. The Peterlin approximation of the spring force is used to derive the equation for the conformation tensor. The latter is the time evol...

A novel method is presented for efficiently testing the stability of an object under contact that accommodates empirically determined sets of admissible forces at contact points. These admissible force volumes may exhibit a wide variety of geometries, including anisotropy, adhesion, and even nonconvexity. The method discretizes the contact region into patches, performs a convex decomposition of...

Spring embedding is a widely used method for producing automated layouts of graphs. We present a preprocessor that improves the performance of the classical spring embedder, which can be used in conjunction with other optimization and approximation techniques. It creates an initial graph layout with edge lengths that are approximately equal and with a minimum node separation from which the spri...

the incremental sheet metal forming (ismf) process is a new and flexible method that is well suited for small batch production or prototyping. this paper studies the use of the finite element method in the incremental forming process of aa1050 sheets to investigate the influence of tool diameter, vertical step size, and friction coefficient on forming force, spring-back, and thickness distribut...