Off-diagonal profiles φ od (v) of local densities (e.g. order parameter or energy density) are calculated at the bulk critical point, by conformal methods, on a strip with transverse coordinate v, for different types of boundary conditions (free, fixed and mixed). Such profiles, which are defined by the non-vanishing matrix element 0|ˆφ(v)|φ of the appropriate operatorˆφ(v) between the ground s...

The dynamic instability regions of composite laminated skew flat plates subjected to uniform in-plane axial end-loading are investigated. The in-plane loading is assumed as a combination of a time-invariant component and a harmonic time-varying component uniformly distributed along two opposite panel ends’ width. In case of some loading frequency-amplitude pair-conditions, the model is subjecte...

The sliding mode technique is used to control the deformation of a membrane mirror strip augmented with two macrofiber composite bimorphs located near the ends of the strip. The first bimorph is actuated in bending and the second is actuated axially. The structure is modeled as an Euler–Bernoulli beam under tensile load and the macrofiber composite patches are modeled as monolithic piezoceramic...

We study the behavior of a quantum particle confined to a hard–wall strip of a constant width in which there is a finite number N of point perturbations. Constructing the resolvent of the corresponding Hamiltonian by means of Krein’s formula, we analyze its spectral and scattering properties. The bound state–problem is analogous to that of point interactions in the plane: since a two–dimensiona...

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is trapped by tougher regions and deforms. This pinning induces non-linearities in the crack propagation problem, even within Linear Elastic Fracture Mechanics theory...

Axially moving strips are frequently encountered in industry for various applications. On the one hand, accurate models of transverse displacements of strips are desired for plant design and safety or reliability reasons. On the other hand, the models may serve as a basis for model-based controller and observer design. For the latter also, the complexity of the models should be as low as possib...

An end-grafted flexible polymer chain in three-dimensional space between two pistons undergoes an abrupt transition from a confined coil to a flowerlike conformation when the number of monomers in the chain, N, reaches a critical value. In two-dimensional (2D) geometry, excluded-volume interactions between monomers of a chain confined inside a strip of finite length 2L transform the coil confor...

The two-dimensional one-component plasma, i.e. the system of pointlike charged particles embedded in a homogeneous neutralizing background, is studied on the surface of a cylinder of finite circumference, or equivalently in a semiperiodic strip of finite width. The model has been solved exactly by Choquard et al. at the free-fermion coupling Γ = 2: in the thermodynamic limit of an infinitely lo...

We consider a 2D Schrödinger operator H0 with constant magnetic field defined on a strip of finite width. The spectrum of H0 is absolutely continuous and contains a discrete set of thresholds. We perturb H0 by an electric potential V , and establish a Mourre estimate for H = H0 + V when V is periodic in the infinite direction of the strip, or decays in a suitable sense at infinity. In the perio...

transfer table is an essential stage between roughing and finishing rolling stands in a hot-strip rolling mill. high temperature and long time that strip is exposed to air at this stage cause a considerable heat loss that accounts for uneven temperature distribution, non-uniform surfaces, reduced product quality and increased production costs. using thermal shields on the transfer table is cons...