This paper presents an analytical solution for an orthotropic circular cross section bar with a magnetic coating weakened by multiple arbitrary oriented cracks under Saint-Venant torsion by means of the distributed dislocation technique. At first, the solution of the orthotropic bar with a magnetic coating weakened by a Volterra-type screw dislocation is achieved with the aid of the finite Four...

Abstract: The solution to problem of an orthotropic long cylinder subjected to torsional loading is first obtained by means of separation valuables. The cylinder is twisted by two lateral shear tractions and the ends of the cylinder surface of the cylinder are stress-free. First, the domain under consideration is weakened by an axisymmetric rotational Somigliana ring dislocation. The dislocatio...

Abstract Using the method of singular integral equations, elastic-plastic problem for cracked Brazilian disk was solved. Based on Dugdale model and deformation fracture criterion, relationships between critical load, notch tip opening displacement length plastic strips were established. Also, comparison present solution finite domain known obtained semi-infinite in elastic plane performed.

We proposed the boundary-integral type neural networks (BINN) for boundary value problems in computational mechanics. The integral equations are employed to transfer all unknowns boundary, then approximated using and solved through a training process. loss function is chosen as residuals of equations. Regularization techniques adopted efficiently evaluate weakly singular Cauchy principal integr...