Journal of Mechanics of Materials and Structures最新文献

We use Muskhelishvili’s complex variable formulation to derive a closed-form solution to the plane strain problem of an elliptical incompressible liquid inclusion embedded in an infinite isotropic elastic matrix subjected to the action of an edge dislocation applied at an arbitrary position. The internal uniform hydrostatic tension within the liquid inclusion and the pair of analytic functions characterizing the elastic field in the matrix are completely determined. The image force acting on the edge dislocation is the sum of two parts: the first part has been obtained in previous studies and is due to the edge dislocation near a traction-free elliptical hole; the second modified part is caused by the induced uniform hydrostatic tension on the elliptical boundary: this part has not been considered previously and is given here explicitly.

The phenomenon of edge-buckling in an axially moving stretched thin elastic web is described as a nonstandard singularly perturbed bifurcation problem, which is then explored through the application of matched asymptotic techniques. Previous numerical work recently reported in the literature is reevaluated in this context by approaching it through the lens of asymptotic simplifications. This allows us to identify two distinct regimes characterised by qualitative differences in the corresponding eigendeformations; some simple approximate formulae for the critical eigenvalues are also proposed. The obtained analytical results capture the intricate relationship between the critical speeds, the background tension, and other relevant physical and geometric parameters that feature in the mathematical model.

An analytical solution was developed to study mode I delamination in a laminated composite double cantilever beam (DCB) based on an augmented beam model considering lateral shear. Using the measured DCB compliance, the proposed analytical solution was employed to determine the initial delamination length and its propagation profile. Also, a finite element (FE) correction method was presented to establish a correlation between the delamination length and the DCB opening compliance. Similar delamination lengths were obtained from the analytical and the numerical methods. Consequently, the problematic delamination lengths generated from in-situ optical measurement were corrected using the two methods. The fracture resistance curves of the DCB specimen were also updated. Accordingly, the subsequent DCB FE modelling analyses, integrated with cohesive zone modelling or virtual crack closure technique, were able to generate practical predictions. The study shows that the developed analytical solution could also improve the DCB test efficiency without in-situ optical measurements.

An inverse fast Fourier transform (IFFT) algorithm is developed to solve initial value problems (IVPs) for wave propagation in nonlocal peridynamic media. The IFFT solutions compare well with solutions obtained using Mathematica’s NIntegrate function and are verified using a spherical Bessel function series solution. We solve a peridynamic microelastic IVP by using Floquet theory to determine a nonlinear dispersion relation for a periodically layered elastic medium and demonstrate that microelastic peridynamic IVP solutions can be used to represent the behavior of homogenized waves in periodic elastic media. A local-nonlocal peridynamic correspondence principle is identified, which enables direct determination of nonlocal Fourier transform domain solutions to IVPs; the correspondence principle only requires identification of the nonlinear dispersion curve for the material and does not require definition of a micromodulus function, although the latter is implicitly defined via an integral equation. Results are useful for modeling and verification of dispersive wave propagation in large-scale peridynamic numerical simulations.