17 citations · 22 across the 8 of their papers we have counts for
9 papers
A Nonlocal Strain Measure for Digital Image Correlation
R. B. Lehoucq, P. L. Reu, D. Z. Turner
We propose a nonlocal strain measure for use with digital image correlation (DIC). Whereas the traditional notion of compatibility (strain as the derivative of the displacement fie…
A framework for coupling flow and deformation of the porous solid
D. Z. Turner, K. B. Nakshatrala, M. J. Martinez
In this paper, we consider the flow of an incompressible fluid in a deformable porous solid. We present a mathematical model using the framework offered by the theory of interactin…
A nonlocal model for fluid-structure interaction with applications in hydraulic fracturing
Daniel Z. Turner
Modeling important engineering problems related to flow-induced damage (in the context of hydraulic fracturing among others) depends critically on characterizing the interaction of…
A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems
K. B. Nakshatrala, D. Z. Turner
In this paper we consider a modification to Darcy equation by taking into account the dependence of viscosity on the pressure. We present a stabilized mixed formulation for the res…
On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media
D. Z. Turner, K. B. Nakshatrala, P. K. Notz
The following work compares two popular mixed finite elements used to model subsurface flow and transport in heterogeneous porous media; the lowest order Raviart-Thomas element and…
A variational multiscale Newton-Schur approach for the incompressible Navier-Stokes equations
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
In the following paper, we present a consistent Newton-Schur solution approach for variational multiscale formulations of the time-dependent Navier-Stokes equations in three dimens…