6,082 research outputs found
Extending fuzzy semantic model by advanced decision rules
This paper extends FSM, a recently proposed semantic data model that supports fuzziness, imprecision and uncertainty of real-world. More precisely, the paper proposes four new concepts, decisional grouping, inhibition, multiplicity and selection, which allows enhancing the modeling of real-world applications. It integrates these concepts in FSM by the definition of new decision rules
A Robust Solution Procedure for Hyperelastic Solids with Large Boundary Deformation
Compressible Mooney-Rivlin theory has been used to model hyperelastic solids,
such as rubber and porous polymers, and more recently for the modeling of soft
tissues for biomedical tissues, undergoing large elastic deformations. We
propose a solution procedure for Lagrangian finite element discretization of a
static nonlinear compressible Mooney-Rivlin hyperelastic solid. We consider the
case in which the boundary condition is a large prescribed deformation, so that
mesh tangling becomes an obstacle for straightforward algorithms. Our solution
procedure involves a largely geometric procedure to untangle the mesh: solution
of a sequence of linear systems to obtain initial guesses for interior nodal
positions for which no element is inverted. After the mesh is untangled, we
take Newton iterations to converge to a mechanical equilibrium. The Newton
iterations are safeguarded by a line search similar to one used in
optimization. Our computational results indicate that the algorithm is up to 70
times faster than a straightforward Newton continuation procedure and is also
more robust (i.e., able to tolerate much larger deformations). For a few
extremely large deformations, the deformed mesh could only be computed through
the use of an expensive Newton continuation method while using a tight
convergence tolerance and taking very small steps.Comment: Revision of earlier version of paper. Submitted for publication in
Engineering with Computers on 9 September 2010. Accepted for publication on
20 May 2011. Published online 11 June 2011. The final publication is
available at http://www.springerlink.co
Quantitative calculations of the excitonic energy spectra of semiconducting single-walled carbon nanotubes within a -electron model
Using Coulomb correlation parameters appropriate for -conjugated
polymers (PCPs), and a nearest neighbor hopping integral that is arrived at by
fitting the energy spectra of three zigzag semiconducting single-walled carbon
nanotubes (S-SWCNTs), we are able to determine quantitatively the exciton
energies and exciton binding energies of 29 S-SWCNTs within a semiempirical
-electron Hamiltonian that has been widely used for PCPs. Our work
establishes the existence of a deep and fundamental relationship between PCPs
and S-SWCNTs.Comment: 6 pages, 2 figures, 2 table
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