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Finite crystal elasticity for curved...

Arroyo, Marino.

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Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes./
Author:	Arroyo, Marino.
Description:	195 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1870.
Contained By:	Dissertation Abstracts International64-04B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3087882

Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes.
Arroyo, Marino.

Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes. - 195 p.

Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1870.

Thesis (Ph.D.)--Northwestern University, 2003.

A method for the systematic reduction of degrees of freedom in the static analysis of lattice systems of reduced dimensionality is presented. The traditional methods of crystal elasticity, valid for space-filling crystals, are extended to deal with crystalline films in three dimensions, and chains in two or three dimensions. A generalization of the Cauchy-Born rule, the exponential Cauchy-Born rule, is key to these developments. This methodology allows us to formulate hyperelastic constitutive relations for continua of reduced dimensionality (lines, surfaces) exclusively in terms of the underlying lattice model, and written in closed-form, i.e. they do not involve local or constrained atomistic calculations. These models are shown to very accurately mimic the parent discrete model in the full nonlinear regime. This theory is applied to the mechanics of carbon nanotubes. The continuum model is discretized with finite elements, providing a computationally advantageous alternative to atomistic calculations. Large multi-walled nanotubes containing millions of atoms are efficiently handled in this manner, and unusual experimental observations are reproduced. The symmetry of several deformation modes can be treated analytically, and reduced two and one-dimensional models which encapsulate interesting mechanics of nanotubes are formulated. The linear response of nanotubes is characterized by elastic moduli which are written explicitly in terms of the interatomic potential.Subjects--Topical Terms:

783786
Engineering, Mechanical.

Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes.
LDR:02372nmm 2200265 4500 001 1858037
005 20041006074914.5
008 130614s2003 eng d
035 $a (UnM)AAI3087882
035 $a AAI3087882
040 $a UnM $c UnM
100 1 $a Arroyo, Marino. $3 1945743
245 1 0 $a Finite crystal elasticity for curved single layer lattices: Applications to carbon nanotubes.
300 $a 195 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1870.
500 $a Adviser: Ted B. Belytschko.
502 $a Thesis (Ph.D.)--Northwestern University, 2003.
520 $a A method for the systematic reduction of degrees of freedom in the static analysis of lattice systems of reduced dimensionality is presented. The traditional methods of crystal elasticity, valid for space-filling crystals, are extended to deal with crystalline films in three dimensions, and chains in two or three dimensions. A generalization of the Cauchy-Born rule, the exponential Cauchy-Born rule, is key to these developments. This methodology allows us to formulate hyperelastic constitutive relations for continua of reduced dimensionality (lines, surfaces) exclusively in terms of the underlying lattice model, and written in closed-form, i.e. they do not involve local or constrained atomistic calculations. These models are shown to very accurately mimic the parent discrete model in the full nonlinear regime. This theory is applied to the mechanics of carbon nanotubes. The continuum model is discretized with finite elements, providing a computationally advantageous alternative to atomistic calculations. Large multi-walled nanotubes containing millions of atoms are efficiently handled in this manner, and unusual experimental observations are reproduced. The symmetry of several deformation modes can be treated analytically, and reduced two and one-dimensional models which encapsulate interesting mechanics of nanotubes are formulated. The linear response of nanotubes is characterized by elastic moduli which are written explicitly in terms of the interatomic potential.
590 $a School code: 0163.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mechanics. $3 1018410
690 $a 0548
690 $a 0346
710 2 0 $a Northwestern University. $3 1018161
773 0 $t Dissertation Abstracts International $g 64-04B.
790 1 0 $a Belytschko, Ted B., $e advisor
790 $a 0163
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3087882