There are many technical applications in the field of lightweight construction as, for example,
in aerospace engineering, where stress concentration phenomena play an important role in …

The validity of several known failure initiation criteria at reentrant corners in brittle elastic
materials is examined and a simple one is proposed. Their predictions, under mode I stress …

When using numerical simulation to make a decision, how can its reliability be determined?
What are the common pitfalls and mistakes when assessing the trustworthiness of computed …

The strength of cylindrical butt joints, fabricated by bonding either aluminum or steel
adherends together with an epoxy adhesive, has been determined for a wide range of bond …

Asymptotic stress and displacement fields near the tip of a sharp anisotropic bimaterial
interface corner are computed using a combination of the Stroh formalism and the Williams …

We establish some optimal a priori error estimates on some variants of the eXtended Finite
Element Method (Xfem), namely the Xfem with a cut‐off function and the standard Xfem with …

Numerical estimation of stress intensity factors (SIFs), an important fracture mechanics
parameter, for sharp V-notched structures is presented by using a new effective approach …

There exists a growing literature on using the Fokas method (unified transform method) to
solve Laplace and Helmholtz problems on convex polygonal domains. We show here that …

The paper discusses methods of modeling of singular stress fields in problems with angular
corners. A novel method of analytical constraints has been proposed. In this method the …

We present a method for the computation of the coefficients of singularities along the edges
of a polyhedron for second-order elliptic boundary value problems. The class of problems …