Characterization of Stiffness Matrix for Surface Effects

The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high surface-to-volume ratio, the surface effect can be significant for nanostructures. In a new numerical method which combines surface energy and three-dimensi...

Full description

Saved in:
Bibliographic Details
Published inApplied Mechanics and Materials Vol. 684; no. Proceedings of 2014 International Conference on Mechanics and Mechanical Engineering; pp. 53 - 57
Main Authors Chen, Xiao Liang, Yang, Quan Hu, Huang, Kai Zhi
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.10.2014
Subjects
Finite element method
Mathematical analysis
Nanostructure
Numerical analysis
Stiffness matrix
Surface energy
Symmetry
Three dimensional
Surface Energy
Stiffness Matrix
Finite Element Method (FEM)
Non-Positive Definite
Online AccessGet full text

Cover

Abstract The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high surface-to-volume ratio, the surface effect can be significant for nanostructures. In a new numerical method which combines surface energy and three-dimensional finite element analysis, the stiffness matrix with surface effects was computed numerically. Results show the stiffness matrix of surface elements is symmetry and non-positive definite.
AbstractList The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high surface-to-volume ratio, the surface effect can be significant for nanostructures. In a new numerical method which combines surface energy and three-dimensional finite element analysis, the stiffness matrix with surface effects was computed numerically. Results show the stiffness matrix of surface elements is symmetry and non-positive definite.
Author Huang, Kai Zhi
Chen, Xiao Liang
Yang, Quan Hu
Author_xml – givenname: Xiao Liang
  surname: Chen
  fullname: Chen, Xiao Liang
  email: xlchen80@163.com
  organization: Chongqing University of Science and Technology : Department of Mechanics
– givenname: Quan Hu
  surname: Yang
  fullname: Yang, Quan Hu
  email: yangquanhu@163.com
  organization: Chongqing University of Science and Technology : Department of Mechanics
– givenname: Kai Zhi
  surname: Huang
  fullname: Huang, Kai Zhi
  email: mocd361@163.com
  organization: Chongqing University of Science and Technology : Department of Mechanics
BookMark eNqNkE1LAzEQhoMfYFv9DwsieNltPnZnk4NIKfUDWjyo5xCzCd3SZmuSUvXXm1pB8eRpBuZ5Z4anj45c5wxCFwQXJaZ8uN1ui6Bb42JrW104E4ej2awAXhYVO0A9AkDzuuT0EJ2JmjPMOKsYpdXR1wzngjE4Qf0QFhhDSUreQ3w8V17paHz7oWLbuayz2WM6YJ0JIZup6Nu3zHY-e9x4q7TJJtYaHcMpOrZqGczZdx2g55vJ0_gunz7c3o9H01wzCjGn0IjGAmgDteUAjcIv2lbEamUr3jSpByCsrIxosBDihSsNjNWKgxHUYjZAl_u9a9-9bkyIctUGbZZL5Uy3CZJASWmJGSEJPf-DLrqNd-m7RBEugEHNEnW1p7TvQvDGyrVvV8q_S4LlzrNMnuWPZ5k8y-RZJs-y2uWv9_nolQvR6PmvM__a8Alp2Y2m
Cites_doi 10.1016/j.commatsci.2007.02.013
10.1007/BF00261375
10.1088/0957-4484/17/4/045
10.4028/www.scientific.net/AMR.97-101.1265
ContentType Journal Article
Copyright 2014 Trans Tech Publications Ltd
Copyright Trans Tech Publications Ltd. Oct 2014
Copyright_xml – notice: 2014 Trans Tech Publications Ltd
– notice: Copyright Trans Tech Publications Ltd. Oct 2014
DBID AAYXX
CITATION
7SR
7TB
8BQ
8FD
8FE
8FG
ABJCF
ABUWG
AFKRA
BENPR
BFMQW
BGLVJ
CCPQU
D1I
DWQXO
FR3
HCIFZ
JG9
KB.
KR7
L6V
M7S
PDBOC
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
DOI 10.4028/www.scientific.net/AMM.684.53
DatabaseName CrossRef
Engineered Materials Abstracts
Mechanical & Transportation Engineering Abstracts
METADEX
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central
ProQuest Central
Continental Europe Database
Technology Collection
ProQuest One Community College
ProQuest Materials Science Collection
ProQuest Central Korea
Engineering Research Database
SciTech Premium Collection
Materials Research Database
Materials Science Database
Civil Engineering Abstracts
ProQuest Engineering Collection
Engineering Database
Materials Science Collection
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle CrossRef
Materials Research Database
Technology Collection
Technology Research Database
Mechanical & Transportation Engineering Abstracts
Materials Science Collection
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
Engineered Materials Abstracts
ProQuest Engineering Collection
ProQuest Central Korea
Materials Science Database
Engineering Collection
ProQuest Materials Science Collection
Civil Engineering Abstracts
Engineering Database
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
Continental Europe Database
ProQuest SciTech Collection
METADEX
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Engineering Research Database
ProQuest One Academic
DatabaseTitleList Materials Research Database
CrossRef
Civil Engineering Abstracts
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1662-7482
EndPage 57
ExternalDocumentID 3477282581
10_4028_www_scientific_net_AMM_684_53
GroupedDBID .DC
3V.
4.4
6J9
8FE
8FG
ABHXD
ABJCF
ABJNI
ABUWG
ACGFO
ACGFS
ACIWK
AFKRA
ALMA_UNASSIGNED_HOLDINGS
BENPR
BFMQW
BGLVJ
BPHCQ
CCPQU
CZ9
D1I
DB1
DKFMR
EBS
EJD
HCIFZ
KB.
KC.
L6V
M7S
P2P
PDBOC
PQQKQ
PROAC
PTHSS
RNS
RTP
AAYXX
ABDNZ
ACYGS
CITATION
7SR
7TB
8BQ
8FD
DWQXO
FR3
JG9
KR7
PQEST
PQUKI
PRINS
ID FETCH-LOGICAL-c326t-26d9df66ce67f866da0bcf51fcaf58ddcf5661345e9d0999b8ac6337a86e92f03
IEDL.DBID BENPR
ISBN 9783038353225
3038353221
ISSN 1660-9336
1662-7482
IngestDate Fri Apr 12 04:08:26 EDT 2024
Thu Oct 10 16:33:14 EDT 2024
Fri Aug 23 02:38:09 EDT 2024
Fri Oct 18 22:19:31 EDT 2024
IsPeerReviewed true
IsScholarly true
Issue Proceedings of 2014 International Conference on Mechanics and Mechanical Engineering
Keywords Surface Energy
Stiffness Matrix
Finite Element Method (FEM)
Non-Positive Definite
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c326t-26d9df66ce67f866da0bcf51fcaf58ddcf5661345e9d0999b8ac6337a86e92f03
Notes 2014 International Conference on Mechanics and Mechanical Engineering, (MME 2014), September 13-14, 2014, Wuhan, China
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
PQID 1618963673
PQPubID 2029177
PageCount 5
ParticipantIDs proquest_miscellaneous_1642240311
proquest_journals_1618963673
crossref_primary_10_4028_www_scientific_net_AMM_684_53
transtech_journals_10_4028_www_scientific_net_AMM_684_53
PublicationCentury 2000
PublicationDate 20141001
PublicationDateYYYYMMDD 2014-10-01
PublicationDate_xml – month: 10
  year: 2014
  text: 20141001
  day: 01
PublicationDecade 2010
PublicationPlace Zurich
PublicationPlace_xml – name: Zurich
PublicationTitle Applied Mechanics and Materials
PublicationYear 2014
Publisher Trans Tech Publications Ltd
Publisher_xml – name: Trans Tech Publications Ltd
References 553754
553759
553758
553757
553756
553755
References_xml – ident: 553758
– ident: 553757
  doi: 10.1016/j.commatsci.2007.02.013
– ident: 553755
  doi: 10.1007/BF00261375
– ident: 553756
  doi: 10.1088/0957-4484/17/4/045
– ident: 553754
– ident: 553759
  doi: 10.4028/www.scientific.net/AMR.97-101.1265
SSID ssj0064148
ssj0001550530
Score 2.0009432
Snippet The stiffness matrix of volume elements in the traditional finite element methods is symmetry and positive definite. Due to the relatively high...
SourceID proquest
crossref
transtech
SourceType Aggregation Database
Publisher
StartPage 53
SubjectTerms Finite element method
Mathematical analysis
Nanostructure
Numerical analysis
Stiffness matrix
Surface energy
Symmetry
Three dimensional
Title Characterization of Stiffness Matrix for Surface Effects
URI https://www.scientific.net/AMM.684.53
https://www.proquest.com/docview/1618963673
https://search.proquest.com/docview/1642240311
Volume 684
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9wwEB7BIrVwqPpCbAsolejRNPFj1jkhitgipCAeReVmObF93AV2V-Lnd2aTffRScUqiRHb0eTzzzdgzBjgiN7quddkIMq9RaI-F8GXyIsrkMY-kKwNnI1dXeHGvLx_MQxdwm3TbKhc6ca6ow7jhGPkPLuxOwoIDdfL4JPjUKF5d7Y7Q2IQtSZ6C7MHWz_Or69tVlIUJOBPkVjejLubnaRWIuSBXHjnbIycnzZBcF209nuWzeQPfSadQs3b-W22GIm_gmUcNTqvqGK0-Nupfk7biqW-nbG64FuuayRq-h3cd18xOW-H4ABtx9BF21ioQfgJ7tizY3OZjZuOU3VH3iVVgVnEB_5eMiG12N3tOvolZW-548hnuh-e_zy5Ed5iCaIihTYXEUIaE2EQcJIsYfF43yRSp8cnYEOieTLXSJpaBWWNtfYNKDbzFWMqUq13ojcajuAeZptE0ssaUBlKrpOtAekNKz-rDWqz7gAs83GNbM8ORr8FAOgLSrYB0BKQjIB0B6Yzqw_4CPddNpYlbDXwfvi1f0yTglQ0_iuMZf6OZmqii6INdor7Wxmt6__L_3r_CNpEl3W7k24fe9HkWD4iQTOtD2LTDX4ed7PF1WN38-QvRDd7n
link.rule.ids 315,783,787,12779,21402,27938,27939,33387,33388,33758,33759,43614,43819
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9wwEB5RKhU4VH0hlmcqtUfTJLZnnRNCiGWhhAsgcbOc2D7uLuyuxM9nJsk-ekG9JUoUR5_HM9-MPTMAv8iNripV1ILMaxDKYSZcEZ0IeXSYBtKVnrORyzscPqqbJ_3UBdym3bHKhU5sFLUf1xwj_8OF3UlYsC_PJs-Cu0bx7mrXQuMDfFSSDA1nig-uVjEWpt9Mj1vNjCprumlliKkgRx451yMlF02TVGdtNZ7lvf4Ev0mjkHtlmp9q8xP5-E4TMzgvy1M06lTLfw3aiqVuzdjYcCXWNYM1-AKfO6aZnLei8RU2wugb7KzVH_wO5mJZrrnNxkzGMbmn4SMrwKTk8v2vCdHa5H7-El0dkrbY8fQHPA4uHy6GomulIGriZzORoy98RKwD9qNB9C6t6qizWLuojfd0TYZaKh0Kz5yxMq5GKfvOYCjymMpd2ByNR2EPEkVzqfMKY-znSkZVedIaee5YeRiDVQ9wgYedtBUzLHkaDKQlIO0KSEtAWgLSEpBWyx4cLtCz3UKa2tW09-Dn8jEtAd7XcKMwnvM7iomJzLIemCXqa9_4n9H33x_9BLaGD-Wtvb2--3sA20SbVHuk7xA2Zy_zcETUZFYdN_L3BnZV3ew
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Characterization+of+Stiffness+Matrix+for+Surface+Effects&rft.jtitle=Applied+mechanics+and+materials&rft.au=Chen%2C+Xiao+Liang&rft.au=Yang%2C+Quan+Hu&rft.au=Huang%2C+Kai+Zhi&rft.date=2014-10-01&rft.issn=1660-9336&rft.eissn=1662-7482&rft.volume=684&rft.issue=Proceedings+of+2014+International+Conference+on+Mechanics+and+Mechanical+Engineering&rft.spage=53&rft.epage=57&rft_id=info:doi/10.4028%2Fwww.scientific.net%2FAMM.684.53&rft.externalDBID=NO_FULL_TEXT
thumbnail_s http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fwww.scientific.net%2FImage%2FTitleCover%2F3615%3Fwidth%3D600