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An atomic interaction based continuu...

Sauer, Roger Andrew.

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An atomic interaction based continuum model for computational multiscale contact mechanics.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An atomic interaction based continuum model for computational multiscale contact mechanics./
Author:	Sauer, Roger Andrew.
Description:	145 p.
Notes:	Adviser: Shaofan Li.
Contained By:	Dissertation Abstracts International68-03B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3254064

An atomic interaction based continuum model for computational multiscale contact mechanics.
Sauer, Roger Andrew.

An atomic interaction based continuum model for computational multiscale contact mechanics. - 145 p.

Adviser: Shaofan Li.

Thesis (Ph.D.)--University of California, Berkeley, 2006.

A computational multiscale contact mechanics model is proposed to describe the interaction between deformable solids based on the interaction of individual atoms or molecules. The contact model, formulated in the framework of large deformation continuum mechanics, is termed the 'Coarse-Grained Contact Model', since it is based on the homogenizing, or coarsening of the discrete description of a large assembly of interacting atoms. The atomic interaction is distinguished into two different cases: the interaction of atoms within a small neighborhood, and the interaction of atoms over large distances. The former furnishes a constitutive relation for the continuum, like the Cauchy-Born rule, while the latter is used to model the interaction, like contact and adhesion, between distinct bodies. The proposed multiscale contact model is formulated as a variational principle and implemented within an updated Lagrangian finite element method. Three different implementations are proposed, designed to maintain computational efficiency as the length scale increases. In this respect it is shown by direct comparison, that the proposed contact model can lead to a seamless transition between nanoscale contact mechanics, as modelled by molecular dynamics, and macroscale contact mechanics, as modelled by continuum mechanics.Subjects--Topical Terms:

1018410
Applied Mechanics.

An atomic interaction based continuum model for computational multiscale contact mechanics.
LDR:03107nam 2200289 a 45 001 972766
005 20110928
008 110928s2006 eng d
035 $a (UMI)AAI3254064
035 $a AAI3254064
040 $a UMI $c UMI
100 1 $a Sauer, Roger Andrew. $3 1296736
245 1 3 $a An atomic interaction based continuum model for computational multiscale contact mechanics.
300 $a 145 p.
500 $a Adviser: Shaofan Li.
500 $a Source: Dissertation Abstracts International, Volume: 68-03, Section: B, page: 1710.
502 $a Thesis (Ph.D.)--University of California, Berkeley, 2006.
520 $a A computational multiscale contact mechanics model is proposed to describe the interaction between deformable solids based on the interaction of individual atoms or molecules. The contact model, formulated in the framework of large deformation continuum mechanics, is termed the 'Coarse-Grained Contact Model', since it is based on the homogenizing, or coarsening of the discrete description of a large assembly of interacting atoms. The atomic interaction is distinguished into two different cases: the interaction of atoms within a small neighborhood, and the interaction of atoms over large distances. The former furnishes a constitutive relation for the continuum, like the Cauchy-Born rule, while the latter is used to model the interaction, like contact and adhesion, between distinct bodies. The proposed multiscale contact model is formulated as a variational principle and implemented within an updated Lagrangian finite element method. Three different implementations are proposed, designed to maintain computational efficiency as the length scale increases. In this respect it is shown by direct comparison, that the proposed contact model can lead to a seamless transition between nanoscale contact mechanics, as modelled by molecular dynamics, and macroscale contact mechanics, as modelled by continuum mechanics.
520 $a The Coarse-Grained Contact Model is fully normalized in order to determine its characterizing model parameters. These are used to analyze the physical and numerical behavior of the contact model. In particular the scaling of the CGC model is investigated and studied over a wide range of length scales and material properties. The consistency and accuracy of the three proposed implementations is further analyzed by a simple contact patch test. Several numerical examples are used to illustrate the applicability of the CGC model to micro/nano-scale contact/interaction problems. These results are in agreement with experimental, analytical and numerical results reported in the literature, thus validating the proposed multiscale contact model. By using a second level of homogenization, it is finally shown, that the CGC model can be applied to macroscale contact problems.
590 $a School code: 0028.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Civil. $3 783781
650 4 $a Engineering, Mechanical. $3 783786
690 $a 0346
690 $a 0543
690 $a 0548
710 2 0 $a University of California, Berkeley. $3 687832
773 0 $t Dissertation Abstracts International $g 68-03B.
790 $a 0028
790 1 0 $a Li, Shaofan, $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3254064