It is assumed that the equilibrium state exists in the SHPB test (Gray 1985b). This means that the forces on both ends of the specimen are equal with F1(t) = F2(t), which gives εi(t) + εr(t) = εt(t). In this sense, the measured values of εi(t), εr(t) and εt...
Section 3 describes the computation of the TLNs for the Schwarzschild-AdS BH in the RW approach. In section 4 we recall the gauge-invariant KI master equations and obtain the TLNs in this formalism, relating them to the results of section 3. Section 5 evokes the AdS/CFT correspondence, ...
This section describes the implementation of the quasi-static mooring solver. Moorings are defined as the lines that hold in position a vessel or any kind of floating object. More precisely, this implementation is focused on continuous ropes and wires. The shape of this kind of lines, hanging ...
Equilibrium occurs at locations of the vector field where local minima correspond to stable fixed-points, and local maxima correspond to unstable ones. To find them, we need to find E(x) such that (2.5) The general solution is (2.6) where C is an arbitrary constant (we use C = 0 ...
Yes, rotational motion can reduce static friction if the object is rotating at a constant speed. This is because the force of static friction only acts on an object when it is at rest or when it is trying to start moving. Once an object is in motion, the force of static friction is ...
Section 2 describes the urban population data for France. Then, power-law and log-normal distributions, which were observed in the large- and mid-scale ranges of the data and their time variations, are discussed analytically. Quasi-time-reversal symmetry, large-scale Gibrat’s law, and mid-...
During the elastic regime, a time increment 10 times larger than the Courant number was chosen, whereas a time increment 100 times larger than the Courant number was used in the inelastic regime once the stress equilibrium was reached. The set of parameters ℎ0h0, 𝜏0τ0, 𝜏𝑠τs ...
An experimental testing program and analytical modeling were conducted to evaluate the structural performance at the service and ultimate limit states. Thirteen full-scale bridge deck specimens were constructed and tested under static and fatigue loading. The fatigue loading was applied up to two ...
Figure 7. The influence of the overall radius of the ring on the entropic force of an ideal chain entangled with a static ring-shaped object with six different entangling modes. In this plot, the distance, 𝐿L, between the two chain ends is 3𝑏3b. (i) The force-extension curves ...
Figure 7. The influence of the overall radius of the ring on the entropic force of an ideal chain entangled with a static ring-shaped object with six different entangling modes. In this plot, the distance, 𝐿L, between the two chain ends is 3𝑏3b. (i) The force-extension curves ...