The indirect boundary integral formulation is inspired by the potential theory which is usually applied to Laplace’s equation (scalar or vector). Considering the similarity between Laplace and the similarly elliptic linear elastostatic problem, we apply this mathematical tool to stress analysis. This forms a crucial ingredient in our meshbased fracture evolution algorithm. Here we briefly intro...

The paper is devoted to the elastostatic calibration of industrial robots, which are used for precise machining of largedimensional parts made of composite materials. In this technological process, the interaction between the robot and the workpiece causes essential elastic deflections of the manipulator components that should be compensated by the robot controller using relevant elastostatic m...

A stable numerical algorithm is presented for an elastostatic problem involving a crack close to and in front of an inclusion interface. The algorithm is adaptive and based on an integral equation of Fredholm’s second kind. This enables accurate analysis also of rather difficult situations. Comparison with stress intensity factors of cracks close to straight infinite bimaterial interfaces are m...

There is considerable interest in using remote elastostatic deformations to identify the evolving geometry of underground fractures that are forced to propagate by the injection of a high pressure viscous fluid. These so-called hydraulic fractures are used to increase the permeability in oil and gas reservoirs as well as to pre-fracture ore-bodies in preparation for a mining process known as bl...

The paper is devoted to the elastostatic calibration of industrial robots, which are used for precise machining of large-dimensional parts made of composite materials. In this technological process, the interaction between the robot and the workpiece causes essential elastic deflections of the manipulator components that should be compensated by the robot controller using relevant elastostatic ...

In this paper, the four integral identities satisfied by the fundamental solution for elastostatic problems are reviewed and slightly different forms of the third and fourth identities are presented. Two new identities, namely the fifth and sixth identities, are derived. These integral identities can be used to develop weakly singular and nonsingular forms of the boundary integral equations (BI...