Asymptotic Behavior Of Stresses Research Articles

Investigation of the Asymptotic Behavior of Stresses at the Tip of Wedge- and Cone-Shaped Cracks

Numerical method is proposed for construction of singular solutions for spatial crossing wedge-and cone-shaped cracks. The results of numerical simulations made in the study allowed us to estimate the stress singularity indices at the tip of wedge-shaped cracks for different boundary conditions on the crack faces and at the tip of crossing cone cracks. The stress singularity at the tips of cone-shaped cracks is investigated.

ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

Plane problem for an orthotropic body with a crack whose lower side is reinforced by an elastic membrane

We study the stress state of an orthotropic plane with one linear defect whose lower side is reinforced by an elastic membrane. The Lekhnitskii potentials are constructed as solutions of the Riemann two-dimensional boundary-value problem. They are obtained in closed form. It is shown that the asymptotic behavior of stresses at the tips of the defect can have a singularity of any order from −1 to 0, depending on the stiffness of the membrane. The cases of low and high stiffness are considered separately.