Pub Date : 2019-06-07DOI: 10.1201/9780429324710-102
J. Voges, D. Juhre
{"title":"An approach for modeling thermo-oxidative aging in polymer materials","authors":"J. Voges, D. Juhre","doi":"10.1201/9780429324710-102","DOIUrl":"https://doi.org/10.1201/9780429324710-102","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80595561","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: 10.1201/9780429324710-97
M. Vizcaíno-Vergara, L. Kari, J. Busfield
{"title":"Free volume evolution equation for physical ageing of filler reinforced rubber","authors":"M. Vizcaíno-Vergara, L. Kari, J. Busfield","doi":"10.1201/9780429324710-97","DOIUrl":"https://doi.org/10.1201/9780429324710-97","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90746568","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: 10.1201/9780429324710-23
Nicolas Penvern, A. Langlet, M. Gratton, N. A. Hocine
{"title":"Compressive quasi-static and dynamic piezoresistive behavior of carbon black and carbon nanotubes elastomer composites: Experimental study","authors":"Nicolas Penvern, A. Langlet, M. Gratton, N. A. Hocine","doi":"10.1201/9780429324710-23","DOIUrl":"https://doi.org/10.1201/9780429324710-23","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81339514","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: 10.1201/9780429324710-88
L. Dufrene, D. Mailhot
{"title":"Modelisation of Chernobyl membrane","authors":"L. Dufrene, D. Mailhot","doi":"10.1201/9780429324710-88","DOIUrl":"https://doi.org/10.1201/9780429324710-88","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82685455","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: 10.1201/9780429324710-60
S. Lejeunes, D. Eyheramendy
: In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.
{"title":"Isogeometric analysis for the numerical simulation of rubber structures","authors":"S. Lejeunes, D. Eyheramendy","doi":"10.1201/9780429324710-60","DOIUrl":"https://doi.org/10.1201/9780429324710-60","url":null,"abstract":": In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78988225","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}
: Strain induced crystallization (SIC) is one of the .most influencing factors for the outstanding mechanical properties of natural rubber. It was extensively investigated within the last decades (e.g. Zhang et al. 2013, Brüning 2014). In practical use, and mainly in the case of pre-cracked respectively damaged samples, the strain field around the crack tip is highly inhomogeneous. This will influence the strain induced crystallization. Therefore, the effective crystallite distribution and orientation around the crack tip will be as well inhomogeneous. In contrast to the uniaxial tensile load of rubber with fibre symmetrical distribution of crystallites, in pure shear samples no fibre symmetry is found. The crystallite orientation with respect to the sample geometry will be investigated via x-ray scattering. and the results are used to describe the crystallization under inhomogeneous stretching conditions.
应变诱导结晶(SIC)是影响天然橡胶优异力学性能的主要因素之一。在过去的几十年里，人们对它进行了广泛的研究(例如Zhang et al. 2013, br ning 2014)。在实际应用中，主要是在预裂分别损伤试样的情况下，裂纹尖端周围的应变场是高度不均匀的。这将影响应变诱导结晶。因此，裂纹尖端周围有效晶的分布和取向也是不均匀的。与纤维对称分布的单轴拉伸橡胶相比，纯剪切样品中没有纤维对称分布。晶体取向与样品几何形状的关系将通过x射线散射进行研究。并用结果描述了非均匀拉伸条件下的结晶过程。
{"title":"Orientation of crystallites in natural rubber under different modes of load","authors":"K. Schneider, S. Roth","doi":"10.1201/9780429324710-4","DOIUrl":"https://doi.org/10.1201/9780429324710-4","url":null,"abstract":": Strain induced crystallization (SIC) is one of the .most influencing factors for the outstanding mechanical properties of natural rubber. It was extensively investigated within the last decades (e.g. Zhang et al. 2013, Brüning 2014). In practical use, and mainly in the case of pre-cracked respectively damaged samples, the strain field around the crack tip is highly inhomogeneous. This will influence the strain induced crystallization. Therefore, the effective crystallite distribution and orientation around the crack tip will be as well inhomogeneous. In contrast to the uniaxial tensile load of rubber with fibre symmetrical distribution of crystallites, in pure shear samples no fibre symmetry is found. The crystallite orientation with respect to the sample geometry will be investigated via x-ray scattering. and the results are used to describe the crystallization under inhomogeneous stretching conditions.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77787569","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: 10.1201/9780429324710-49
D. Jalocha
{"title":"A constitutive law based on a dynamic strain amplitude dependent spectrum to model the Payne effect","authors":"D. Jalocha","doi":"10.1201/9780429324710-49","DOIUrl":"https://doi.org/10.1201/9780429324710-49","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85392907","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: 10.1201/9780429324710-18
M. Klüppel
{"title":"Microstructure based Modelling of Elastomer Nano-Composites","authors":"M. Klüppel","doi":"10.1201/9780429324710-18","DOIUrl":"https://doi.org/10.1201/9780429324710-18","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78522065","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: 10.1201/9780429324710-104
A. Herzig, M. Johlitz, R. Pazur, I. Lopez-Carreon, C. Porter
{"title":"Thermal ageing of peroxide-cured NBR, Part II: Diffusion-limited oxidation and constitutive modelling","authors":"A. Herzig, M. Johlitz, R. Pazur, I. Lopez-Carreon, C. Porter","doi":"10.1201/9780429324710-104","DOIUrl":"https://doi.org/10.1201/9780429324710-104","url":null,"abstract":"","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73021751","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: 10.1201/9780429324710-44
A. Ricker, N. H. Krӧger, M. Ludwig, R. Landgraf, J. Ihlemann
Cellular rubbers are elastomeric materials containing pores which can undergo large volumetric deformations. This contribution presents an isotropic, hyperelastic material model for cellular rubbers based on the approach of Danielsson, Parks, & Boyce (2004). For model validation and parameter fitting, experimental characterization were carried out for a foamed elastomers based on a natural rubber compound. Moreover, a feasible procedure of parameter fitting avoiding lateral strain measurement is outlined and tested. Furthermore, a finite element model of the microstructure of the cellular rubber is reconstructed from a computer tomography scan.
{"title":"Validation of a hyperelastic modelling approach for cellular rubber","authors":"A. Ricker, N. H. Krӧger, M. Ludwig, R. Landgraf, J. Ihlemann","doi":"10.1201/9780429324710-44","DOIUrl":"https://doi.org/10.1201/9780429324710-44","url":null,"abstract":"Cellular rubbers are elastomeric materials containing pores which can undergo large volumetric deformations. This contribution presents an isotropic, hyperelastic material model for cellular rubbers based on the approach of Danielsson, Parks, & Boyce (2004). For model validation and parameter fitting, experimental characterization were carried out for a foamed elastomers based on a natural rubber compound. Moreover, a feasible procedure of parameter fitting avoiding lateral strain measurement is outlined and tested. Furthermore, a finite element model of the microstructure of the cellular rubber is reconstructed from a computer tomography scan.","PeriodicalId":10574,"journal":{"name":"Constitutive Models for Rubber XI","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74900883","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}
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