Pub Date : 2019-06-07DOI: 10.1201/9780429324710-71
A. Perriot, S. Gatien, L. Epinat, J.-B. Fourrel de Frettes
{"title":"Miner-Bayes approach to filled elastomer fatigue testing","authors":"A. Perriot, S. Gatien, L. Epinat, J.-B. Fourrel de Frettes","doi":"10.1201/9780429324710-71","DOIUrl":"https://doi.org/10.1201/9780429324710-71","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90502280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-64
T. Glanowski, Y. Marco, V. L. Saux, B. Huneau, C. Champy, P. Charrier
: The fatigue properties of fi lled elastomers are strongly related to the inclusions ’ population induced by their complex recipes and the successive stages of the manufacturing process (mixing, injection and curing). The improvement of these properties involves at fi rst an ability to describe the statistical features of these inclusions ’ population in terms of size, geometry, nature and spatial distribution. Then a detailed understanding of the damage mechanisms is required in order to de fi ne the mechanical criticality of inclusions according to their characteristics under cyclic loading. The aim of the study is to take advantage of tomography observations that enable a three dimensional vision to access the statistical description of the inclusions population and of the related damage mechanisms. First of all, a tool to detect and characterize accurately inclusions and cracks is presented. Then, this tool is applied to an interrupted specimen in fatigue, for a compound fi lled with carbon black. A statistical analysis is performed on the nature of inclusions leading to cracks, on the kind of damage mechanisms (polar crack, cavitation between 2 inclusions or failure of an inclusion) and on the density and the geometric properties of activated inclusions. An additional focus is given on the inclusions leading to the biggest cracks in order to assess more precisely the features (nature, size . .. … ) of the most critical inclusions for fatigue.
{"title":"Fatigue crack initiation around inclusions for a carbon black filled natural rubber: an analysis based on micro-tomography","authors":"T. Glanowski, Y. Marco, V. L. Saux, B. Huneau, C. Champy, P. Charrier","doi":"10.1201/9780429324710-64","DOIUrl":"https://doi.org/10.1201/9780429324710-64","url":null,"abstract":": The fatigue properties of fi lled elastomers are strongly related to the inclusions ’ population induced by their complex recipes and the successive stages of the manufacturing process (mixing, injection and curing). The improvement of these properties involves at fi rst an ability to describe the statistical features of these inclusions ’ population in terms of size, geometry, nature and spatial distribution. Then a detailed understanding of the damage mechanisms is required in order to de fi ne the mechanical criticality of inclusions according to their characteristics under cyclic loading. The aim of the study is to take advantage of tomography observations that enable a three dimensional vision to access the statistical description of the inclusions population and of the related damage mechanisms. First of all, a tool to detect and characterize accurately inclusions and cracks is presented. Then, this tool is applied to an interrupted specimen in fatigue, for a compound fi lled with carbon black. A statistical analysis is performed on the nature of inclusions leading to cracks, on the kind of damage mechanisms (polar crack, cavitation between 2 inclusions or failure of an inclusion) and on the density and the geometric properties of activated inclusions. An additional focus is given on the inclusions leading to the biggest cracks in order to assess more precisely the features (nature, size . .. … ) of the most critical inclusions for fatigue.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89924381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-55
Marie Dalémat, M. Coret, A. Leygue, E. Verron
{"title":"Reliability of the Data-Driven Identification algorithm with respect to incomplete input data","authors":"Marie Dalémat, M. Coret, A. Leygue, E. Verron","doi":"10.1201/9780429324710-55","DOIUrl":"https://doi.org/10.1201/9780429324710-55","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"95 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85859536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-12
K. Akutagawa, K. Tsunoda, Y. Morishita
{"title":"Nanomechanics on thermo-mechanical process of rubber-like materials","authors":"K. Akutagawa, K. Tsunoda, Y. Morishita","doi":"10.1201/9780429324710-12","DOIUrl":"https://doi.org/10.1201/9780429324710-12","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86354481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-29
A. Tayeb, J. Cam, E. Robin, F. Canévet, M. Grédiac, E. Toussaint, X. Balandraud
: In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate both displacement and strain fi elds required by the identi fi cation procedure. Two different hyperelastic models were considered: the Mooney model and the Ogden model. Applying the VFM to the Mooney model leads to a linear system which involves the hyperelastic parameters due to the linearity of the stress with respect to these parameters. In the case of the Ogden model, the stress is a nonlinear function of the hyperelastic param- eters and a suitable procedure shall be used to determine virtual fi elds leading to the best identi fi cation. This complicates the identi fi cation procedure and affects its robustness. This is the reason why the sensitivity based virtual fi eld approach recently proposed in case of anisotropic plasticity by Marek et al. (2017) has been successfully implemented to be applied in case of hyperelasticity. Results obtained clearly highlight the bene fi ts of such an inverse identi fi cation approach in case of non-linear systems.
{"title":"Sensitivity based virtual fields for identifying hyperelastic constitutive parameters","authors":"A. Tayeb, J. Cam, E. Robin, F. Canévet, M. Grédiac, E. Toussaint, X. Balandraud","doi":"10.1201/9780429324710-29","DOIUrl":"https://doi.org/10.1201/9780429324710-29","url":null,"abstract":": In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate both displacement and strain fi elds required by the identi fi cation procedure. Two different hyperelastic models were considered: the Mooney model and the Ogden model. Applying the VFM to the Mooney model leads to a linear system which involves the hyperelastic parameters due to the linearity of the stress with respect to these parameters. In the case of the Ogden model, the stress is a nonlinear function of the hyperelastic param- eters and a suitable procedure shall be used to determine virtual fi elds leading to the best identi fi cation. This complicates the identi fi cation procedure and affects its robustness. This is the reason why the sensitivity based virtual fi eld approach recently proposed in case of anisotropic plasticity by Marek et al. (2017) has been successfully implemented to be applied in case of hyperelasticity. Results obtained clearly highlight the bene fi ts of such an inverse identi fi cation approach in case of non-linear systems.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88722989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-36
A. Ricker, N. Kröger
{"title":"Influence of various curing systems and carbon black content on the bulk modulus of EPDM rubber","authors":"A. Ricker, N. Kröger","doi":"10.1201/9780429324710-36","DOIUrl":"https://doi.org/10.1201/9780429324710-36","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88998438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-65
B. Marvalová, I. Petríková, T. Nam
{"title":"Fatigue of filled rubber due to hysteretic heating","authors":"B. Marvalová, I. Petríková, T. Nam","doi":"10.1201/9780429324710-65","DOIUrl":"https://doi.org/10.1201/9780429324710-65","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78968458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constitutive model and structural representation of time- and temperature-dependent strain-induced crystallization in rubber","authors":"R. Behnke, T. Berger, M. Kaliske","doi":"10.1201/9780429324710-8","DOIUrl":"https://doi.org/10.1201/9780429324710-8","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86234217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-07DOI: 10.1201/9780429324710-63
S. Dedova, K. Schneider, G. Heinrich
{"title":"Energy based characterization of fracture and fatigue behaviour of rubber in complex loading conditions","authors":"S. Dedova, K. Schneider, G. Heinrich","doi":"10.1201/9780429324710-63","DOIUrl":"https://doi.org/10.1201/9780429324710-63","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88415981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}