Copyright 2001 by the American Institute of Aeronautics and Astronautics, Inc. No copyright is asserted in the United States under Title 17, U.S. Code. The U.S. Government has a royalty-free license to exercise all rights under the copyright claimed herein for Governmental Purposes. All other rights are reserved by the copyright owner. Abstract An objective of the High Performance Computing an...

We review traditional and novel paradigms for representing solids and interrogating them. The traditional paradigms reviewed are the boundary, constructive, and spatial subdivision representations. The novel representation paradigms are the B-rep index, the dimensionality paradigm, and the skeleton (medial-axis transform). The B-rep index is a polyhedral representation that integrates boundary ...

We consider the use of initially rigid cohesive interface models in a two-dimensional dynamic finiteelement solution of a fracture process. Our focus is on convergence of finite-element solutions to a solution of the undiscretized medium as the mesh spacing x (and therefore time-step t) tends to zero. We propose the use of pinwheel meshes, which possess the ‘isoperimetric property’ that for any...

Computer Tomography (CT) and in particular super fast, 64 and 256 detector CT has rapidly advanced over recent years, such that excellent spatial resolution cardiac imaging, with highly reduced motion artifacts, has become a reality. In this paper, we introduce and apply our comprehensive framework to construct spatially realistic three dimensional (3D) finiteelement and boundary element mesh m...

In Part I of this work we derived a fairly general theory of cavitation in elastomeric solids based on the sudden growth of pre-existing defects. In this article, the theory is used to determine onset-of-cavitation surfaces for Neo-Hookean solids where the defects are isotropically distributed and vacuous. These surfaces correspond to the set of all critical Cauchy stress states at which cavita...

We employed a real-space formulation of orbital-free density functional theory using finiteelement basis to study the defect-core and energetics of an edge dislocation in Aluminum. Our study shows that the core-size of a perfect edge dislocation is around ten times the magnitude of the Burgers vector. This finding is contrary to the widely accepted notion that continuum descriptions of dislocat...

for k = 1,2, . . . and i = 1, . . . ,n, where Ωi ⊂ Ω are non-overlapping subdomains, Γi j = ∂Ωi ∩Ω j is the interface between Ωi and an adjacent subdomain Ω j, j �= i, and pi j > 0 are Robin parameters along Γi j. In [7], the powerful technique of energy estimates is used to show convergence of (2) for η = 0 under very general settings. Similar techniques have been used to prove convergence res...