The impact of a two-dimensional elastic disk with a wall is numerically studied. It is clarified that the coefficient of restitution (COR) decreases with the impact velocity. The result is not consistent with the recent quasi-static theory of inelastic collisions even for very slow impact. This suggests that the elastic model cannot be used in the quasi-static limit. A new quasi-static theory o...

Microstructural observations and compressive property datasets of metal matrix syntactic foam core sandwich composite at quasi-static and high strain rate (HSR) conditions (525-845 s(-1)) are provided. The data supplied in this article includes sample preparation procedure prior to scanning electron and optical microscopy as well as the micrographs. The data used to construct the stress-strain ...

The high strain rate behavior of two cellular materials was investigated using a quasi-static loading stage and a Kolsky bar apparatus. The yield stress of these core materials under dynamic loading was found higher than in quasi-static loading. However, the plateau stress after yielding is not so sensitive to strain rate. For Aluminum foam materials, the deformation was more localized for quas...

Piezoelectric materials are used in many engineering application. When modeling piezoelectric materials the standard assumption is that the electromagnetic field which is used to actuate the piezoelectric material is quasi static. In this paper we show that although the assumption of a quasi static electrical field is valid when one is interested in simulating a piezoelectric material, this ass...

Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. They allow the construction of the associated Baskakov quasi-interpolants (abbr. QIs). Then asymptotic results are provided for the determination of the convergence orders of these new quasi-interpolants. Finally some r...

The study of mechanical behavior of the structural steel S400 under quasi- static and dynamic loading has been the subject of this investigation. In oder to obtain different stress - triaxiality conditions the specimens were notched with 1, 1.5, 2 and 3.5 mm notch radius. The results of fractography show as the velocity of tension increases, ductility reduces and a ductile-brittle transition oc...

Let G = (V, E) be an undirected simple graph and w : E 7→ IR+ be a non-negative weighting of the edges of G. Assume V is partitioned as R ∪ X . A Steiner tree is any tree T of G such that every node in R is incident with at least one edge of T . The metric Steiner tree problem asks for a Steiner tree of minimum weight, given that w is a metric. When X is a stable set of G, then (G, R, X) is cal...

In this contribution, we consider the equivalence between $f(R)$ gravity and scalar-tensor theories to study evolution of scalar cosmological perturbations in $1 + 3$ covariant formalism for classes shear-free dust models with irrotational fluid flows. The is considered be a subclass Brans-Dicke models, gave an overview on theories. We use present linearised constraint equations. then derive in...

Oscillatory behavior in a chain of masses connected by springs with continuous but non-monotonic spring forces can be induced under quasi-static loading. Insight into the birth of this behavior is obtained from a single mass system. A bifurcation study shows the potential for equilibrium jumps between multiple equilibria. As such, the transients occurring under quasi-static loading do not conve...