Numerical analysis of two-layer beams with interlayer slip and step-wise linear interface law

Analytical solutions of three-layer beams with interlayer slip and step-wise linear interface law

“…3). As observed by the author in previous papers [1,5], within a step-wise linear approximated description of nonlinear interface behavior, different values of the coefficients A j and B j describe different types of interfacial regime. Furthermore, this choice makes possible the derivation of analytical solutions of the problem.…”

“…., 3). Now, substituting the compatibility conditions (2) in the constitutive equation (6) and (5) gives the following six differential equations for the ten unknowns u i , u i (i = 1,. . ., 3) and p tj , p nj (j = 1,2):…”

The Effects of an Interlayer Debond on the Flexural Behavior of Three-Layer Beams

“…Then, the upper interface can exhibit one of the two configurations shown in Figure 4 depending on the value of d + a. Extending the solution procedure described in [14], it is reasonable to divide the beam domain 0 ≤ z ≤ l in four subdomains, l being the beam length: Each subdomain involves adjacent points along the interfaces that behave accordingly to the same regime and are singled out by two distinct discontinuity locations.…”

“…Imperfect bonds are described through linear nonproportional relationships between interlayer shear tractions and slips which depend on two coefficients. As underlined by the author in previous papers [7,8,14], this choice makes it possible to describe different types of interfacial regime depending on the values of the two coefficients and to derive explicit solutions as well. Different identification procedures can be adopted to calibrate such an interface constitutive law on the basis of the results of suitable tests (see, e.g., [17]), but this is not of interest to this paper.…”

Local zigzag effects and brittle delamination fracture of n-layered beams using a structural theory with three displacement variables

“…The experimental results, obtained under displacement, control show a load drop in the critical load at the onset of propagation; this is due to an unstable propagation of the crack which grows catastrophically and arrests near the mid-span. The homogenized model, which is under cracklength control [18,25], is able to capture the snap-back instability and follow the virtual branch where crack growth is associated to a reduction of the load-point displacement. Crack propagation is modelled also in the region beyond the midspan to show that the curve stably approaches the limiting solution (dotted line) corresponding to two fully delaminated layers.…”