in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.

S U M M A R Y We argue that subduction may be initiated at passive continental margins without shortening the lithosphere. Overcoming the lithosphere’s high compressive strength requires special circumstances, and these make it difficult to explain the nearly complete recycling of old sea-floor. Instead, we present a model that predicts tensile decoupling of the continental and oceanic lithosph...

The controversy surrounds the cellular tensegrity model. Some suggest that microtubules (MTs) must bear a significant portion of cell contractile stress (prestress) if tensegrity is a useful model. Previously we have shown that for highly spread airway smooth muscle cells (areas>2500 microm2) MTs balance a significant but small potion (average 14%) of the prestress. To further explore if contro...

0020-7683/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.ijsolstr.2011.03.008 ⇑ Corresponding author. Tel.: +1 7349360406; fax: E-mail address: [email protected] (J.R. Barber). Quasi-static frictional contact problems for bodies of fairly general profile that can be represented as half planes can be solved using an extension of the methods of Ciavarella and Jäger. Here we consider the ta...

Vinculin binds to multiple focal adhesion and cytoskeletal proteins and has been implicated in transmitting mechanical forces between the actin cytoskeleton and integrins or cadherins. It remains unclear to what extent the mechano-coupling function of vinculin also involves signaling mechanisms. We report the effect of vinculin and its head and tail domains on force transfer across cell adhesio...

If a discrete elastic system with frictional interfaces is subjected to periodic loading, the eventual steady-state response may depend on the initial condition or an initial transient phase of the loading history. In cases where shakedown is possible, it is known that it will occur for all initial conditions if there is no coupling between slip displacements and normal contact tractions, but t...

The rate at which fluid drains from a collapsing channel or crack depends on the interaction between the elastic properties of the solid and the fluid flow. The same interaction controls the rate at which a pressurized fluid can flow into a crack. In this paper, we present an analysis for the interaction between the viscous flow and the elastic field associated with an expanding or collapsing f...

[1] We introduce a novel scheme, DGCrack, to simulate dynamic rupture of earthquakes in three dimensions based on an hp-adaptive discontinuous Galerkin method. We solve the velocity-stress weak formulation of elastodynamic equations on an unstructured tetrahedral mesh with arbitrary mesh refinements (h-adaptivity) and local approximation orders (p-adaptivity). Our scheme considers second-order ...

The goal of this paper is to study a mathematical model nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by combination Signorini unilateral frictionless condition, and nonmonotone multivalued contact, friction laws subdifferential form. First, under suitable assumptions, we deliver weak formulation model, which an elliptic system Lagrange m...

Unsynchronised, dry-running screw machines have advantages compared to conventional oil-injected and synchronised, machines. Because of the absence an additional timing gear no injected lubricant, effort for manufacturing assembly can be reduced lubricant residues in process gas are avoided. In this design female rotor torque resulting from pressure is transferred directly male by contacting su...