Some integral identities for the fttndamental solutions of potential and elastostatic problems are established in this paper. With these identities it is shown that the conventional boundary integral equation (BIE), which is generally expressed in terms of singularintegrals in the sense of the Cauchy principal value (CPV), and the derivative BIE, which is similarly expressed in terms of hypersi...

This paper presents a new method for accurate pointwise stress extraction from nite element solutions, applied to two-dimensional linear elastostatic problems having bounded value stresses. The method, denoted by SEC (Stress Extraction by Complementary principle), is based on the complementary energy principle applied over a local domain in the post-processing phase. Detailed formulation of the...

The variables controlled and measured in elastostatic laboratory experiments (the volume changes, shape changes, connning stresses, and pore pressure) are exactly related to the appropriate variables of poroelastic eld theory (the gradients of the volume-averaged displacement elds and the volume-averaged stresses). The relations between the laboratory and volume-averaged strain measures require...

Manufactured metallic components often contain nonuniformly distributed pores of complex morphologies. Since such porosity defects have a significant influence on material behaviors and affect the usage in high-performance applications, it is to understand impact characteristics components. In this work, gradient-enhanced defeaturing estimator, which allows for modeling pore geometry spatial di...

In this paper, the Boundary Element Method (BEM) for 3-D elastostatic problems is studied for the analysis of shell or shell-like structures. It is shown that the conventional boundary integral equation (CBIE) for 3-D elasticity does not degenerate when applied to shell-like structures, contrary to the case when it is applied to crack-like problems where it does degenerate due to the closeness ...

Increasingly large numbers of supraglacial lakes form and drain every summer on the Greenland Ice Sheet. Some of these lakes drain rapidly within the timescale of a few hours, and the vertical discharge of water during these events may find a preexisting film of water potentially within a distributed drainage system of linked cavities. Here we present a model for subglacial flooding applied spe...

Many tissue cells exert contractile forces that mechanically couples them to elastic matrices and that influence cell adhesion, cytoskeletal organization, and even cell differentiation. However, strains within the depths of matrices are often unclear and are likely relevant not only to the fact that some matrices such as so-called basement membranes are thin relative to cell dimensions but also...

One of the main advantages of the Gantry-Tau machine is a large accessible workspace/footprint ratio compared to many other parallel machines. The Gantry-Tau improves this ratio by allowing a change of assembly mode without internal link collisions or collisions between the links and the moving TCP platform. However, the optimal kinematic, elastostatic and elastodynamic design parameters of the...