research

If you're interested in stochastic finite element analysis, you might like to know that we've just published a paper that reviews the "practical" application of the method. The paper first outlines the main methods of incorporating uncertainty into engineering computations. It then presents "practical" examples across a range of disciplines of where these methods have been used.

We hope that this paper is a good starting point for those looking to adopt stochastics in their work.

The problems of singularity formation and hydrostatic stress created by an inhomogeneity with eigenstrain in an incompressible isotropic hyperelastic material are considered. For both a spherical ball and a cylindrical bar with a radially-symmetric distribution of finite possibly anisotropic eigenstrains, we show that the anisotropy of these eigenstrains at the center (the center of the sphere or the axis of the cylinder) controls the stress singularity.

This is an announcement about a vacant PhD Research/Teaching Assistant position in RPI, Troy, NY in the department of Civil and Environmental Engineering in the field of Concrete computational mechanics.

The research involves:

In this paper we formulate a geometric theory of nonlinear thermoelasticity that can be used to calculate the time evolution of the temperature and thermal stress fields in a nonlinear elastic body. In particular, this formulation can be used to calculate residual thermal stresses. In this theory the material manifold (natural stress-free configuration of the body) is a Riemannian manifold with a temperature-dependent metric. Evolution of the geometry of the material manifold is governed by a generalized heat equation.