Pub Date : 2012-01-01DOI: 10.1016/B978-0-12-380876-9.00002-1
R. Sturman
{"title":"The Role of Discontinuities in Mixing","authors":"R. Sturman","doi":"10.1016/B978-0-12-380876-9.00002-1","DOIUrl":"https://doi.org/10.1016/B978-0-12-380876-9.00002-1","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/B978-0-12-380876-9.00002-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"54059422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.
{"title":"Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire","authors":"M. Mamode","doi":"10.4208/AAMM.11-M1141","DOIUrl":"https://doi.org/10.4208/AAMM.11-M1141","url":null,"abstract":"The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4208/AAMM.11-M1141","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70490144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-01-01DOI: 10.1016/S0065-2156(10)44002-8
S. Silling, R. Lehoucq
{"title":"Peridynamic Theory of Solid Mechanics","authors":"S. Silling, R. Lehoucq","doi":"10.1016/S0065-2156(10)44002-8","DOIUrl":"https://doi.org/10.1016/S0065-2156(10)44002-8","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(10)44002-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55847054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-01-01DOI: 10.1016/S0065-2156(10)44003-X
A. Benzerga, J. Leblond
{"title":"Ductile Fracture by Void Growth to Coalescence","authors":"A. Benzerga, J. Leblond","doi":"10.1016/S0065-2156(10)44003-X","DOIUrl":"https://doi.org/10.1016/S0065-2156(10)44003-X","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(10)44003-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55847066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-01-01DOI: 10.1016/S0065-2156(10)44001-6
P. Forquin, F. Hild
{"title":"A Probabilistic Damage Model of the Dynamic Fragmentation Process in Brittle Materials","authors":"P. Forquin, F. Hild","doi":"10.1016/S0065-2156(10)44001-6","DOIUrl":"https://doi.org/10.1016/S0065-2156(10)44001-6","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(10)44001-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55847043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-01DOI: 10.1016/S0065-2156(09)43003-5
Feng Xu, T. Lu
{"title":"Chapter 3 Skin Biothermomechanics: Modeling and Experimental Characterization","authors":"Feng Xu, T. Lu","doi":"10.1016/S0065-2156(09)43003-5","DOIUrl":"https://doi.org/10.1016/S0065-2156(09)43003-5","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(09)43003-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55847027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-01DOI: 10.1016/S0065-2156(08)00001-X
H. Duan, Jianxiang Wang, B. Karihaloo
{"title":"Theory of Elasticity at the Nanoscale","authors":"H. Duan, Jianxiang Wang, B. Karihaloo","doi":"10.1016/S0065-2156(08)00001-X","DOIUrl":"https://doi.org/10.1016/S0065-2156(08)00001-X","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(08)00001-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55844309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-01DOI: 10.1016/S0065-2156(09)43002-3
C. Sultan
{"title":"Chapter 2 Tensegrity: 60 Years of Art, Science, and Engineering","authors":"C. Sultan","doi":"10.1016/S0065-2156(09)43002-3","DOIUrl":"https://doi.org/10.1016/S0065-2156(09)43002-3","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(09)43002-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55847012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-01DOI: 10.1016/S0065-2156(08)00002-1
I. Sevostianov, M. Kachanov
{"title":"Connections between Elastic and Conductive Properties of Heterogeneous Materials","authors":"I. Sevostianov, M. Kachanov","doi":"10.1016/S0065-2156(08)00002-1","DOIUrl":"https://doi.org/10.1016/S0065-2156(08)00002-1","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(08)00002-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55844319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-01DOI: 10.1016/S0065-2156(08)00003-3
M. Hütter, T. Tervoort
{"title":"Coarse graining in elasto-viscoplasticity : bridging the gap from microscopic fluctuations to dissipation","authors":"M. Hütter, T. Tervoort","doi":"10.1016/S0065-2156(08)00003-3","DOIUrl":"https://doi.org/10.1016/S0065-2156(08)00003-3","url":null,"abstract":"","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0065-2156(08)00003-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"55844331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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