Recent Particle System models have evolved toward accurate representation of elastic stiffness based on continuum mechanics, converging to formulations that make them quite analogous to fast Finite Element methods. These formulations usually involve the linearization of tensors that help their formulation in the context of linear elasticity. Toward our objective of simulating the nonlinear prop...

The presence of backlash in drivetrains is a major source of limitations as it introduces nonlinearities that reduce their efficiency in speed and position control. Existing models in backlash assume massless shaft, and use only elasticity and damping properties to describe the transmitted torque. This assumption makes them inaccurate since it does not account for the contribution of the body’s...

This study examines the relationship between healthcare expenditure and disposable income in the 50 US states over the period 1966-2009 using fractional integration and cointegration techniques. The degree of integration and nonlinearity of both series are found to vary considerably across states, whilst the fractional cointegration analysis suggests that a long-run relationship exists between ...

Abstract The strong ellipticity condition plays an important role in nonlinear elasticity and in materials. In this paper, we define M-eigenvalues for an elasticity tensor. The strong ellipticity condition holds if and only if the smallest M-eigenvalue of the elasticity tensor is positive. If the strong ellipticity condition holds, then the elasticity tensor is rank-one positive definite. The e...

Tight junctions (TJs) of cells expressing simple epithelial polarity have been extensively studied, but less is known about TJs of cells expressing complex polarity. In this paper we analyzed, TJs of four different lines, that form bile canaliculi (BC) and express typical hepatocyte polarity; WIF-B9, 11-3, Can 3-1, Can 10. Striking differences were observed in claudin expression. None of the ce...

Solving the linear elasticity and Stokes equations by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions. The onelevel domain decomposition preconditioners are based on the solution of local problems. This has the undesired consequence that the results are not scalable, it means that the number of iterations needed to reach converg...

We present two finite element methods for simplicial meshes to approximate the solution of the problem of nearly incompressible elasticity. Although both approaches are based on mixed formulations of linear elastic equations and biorthogonal systems, one of them is nonsymmetric, and the other symmetric. An interesting feature of both approaches is that displacement-based formulations can be obt...

Complex cloud services rely on various IaaS, PaaS, and SaaS cloud offerings. Fast (re)deployment and testing cycles, and the rapidity of changes of various dependent infrastructures and services, imply a need for continuous adaptation. Although software-based elasticity control solutions can automate various decisions through intelligent decisionmaking processes, in many cases, such adaptation ...