Pub Date : 2019-01-10DOI: 10.1002/9781119579311.CH11
X. Nie, W. Heard, B. Martin
{"title":"Influence of Specimen Size on the Dynamic Response of Concrete","authors":"X. Nie, W. Heard, B. Martin","doi":"10.1002/9781119579311.CH11","DOIUrl":"https://doi.org/10.1002/9781119579311.CH11","url":null,"abstract":"","PeriodicalId":149151,"journal":{"name":"Dynamic Damage and Fragmentation","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116256072","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 : 2019-01-10DOI: 10.1002/9781119579311.CH4
G. Kleiser, B. Revil-Baudard, O. Cazacu
{"title":"Plastic Deformation of Pure Polycrystalline Molybdenum","authors":"G. Kleiser, B. Revil-Baudard, O. Cazacu","doi":"10.1002/9781119579311.CH4","DOIUrl":"https://doi.org/10.1002/9781119579311.CH4","url":null,"abstract":"","PeriodicalId":149151,"journal":{"name":"Dynamic Damage and Fragmentation","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121730938","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 : 2015-06-01DOI: 10.1002/9781119579311.ch14
N. Favrie, S. Gavrilyuk
Hypoelastic models are widely used in industrial and military codes for numerical simulation of high strain dynamics of solids. This class of model is often mathematically inconsistent. More exactly, the second principle is not verified on the solutions of the model, and the initial state after a reversible cycle is not recovered. In the past decades, hyperelastic models, which are mathematically consistent, have been intensively studied. For their practical use, ones needs to entirely rewrite the commercial codes. Moreover, calibration of equation of states would be needed. In this paper two hypoelastic models for isotropic solids are derived from equivalent hyperelastic models. The hyperelastic models are hyperbolic for all possible deformations. It allows us to use robust Godunov's schemes for numerical resolution of these models. Two new objective derivatives corresponding to two different equations of state and defining the evolution of the deviatoric part of the stress tensor naturally appear. These derivatives are compatible with the reversibility property of the model : it conserves the specific entropy in a continuous motion. The most used hypoelastic model (Wilkins model) is recovered in the small deformation limit.
{"title":"A Well-posed Hypoelastic Model Derived From a Hyperelastic One","authors":"N. Favrie, S. Gavrilyuk","doi":"10.1002/9781119579311.ch14","DOIUrl":"https://doi.org/10.1002/9781119579311.ch14","url":null,"abstract":"Hypoelastic models are widely used in industrial and military codes for numerical simulation of high strain dynamics of solids. This class of model is often mathematically inconsistent. More exactly, the second principle is not verified on the solutions of the model, and the initial state after a reversible cycle is not recovered. In the past decades, hyperelastic models, which are mathematically consistent, have been intensively studied. For their practical use, ones needs to entirely rewrite the commercial codes. Moreover, calibration of equation of states would be needed. In this paper two hypoelastic models for isotropic solids are derived from equivalent hyperelastic models. The hyperelastic models are hyperbolic for all possible deformations. It allows us to use robust Godunov's schemes for numerical resolution of these models. Two new objective derivatives corresponding to two different equations of state and defining the evolution of the deviatoric part of the stress tensor naturally appear. These derivatives are compatible with the reversibility property of the model : it conserves the specific entropy in a continuous motion. The most used hypoelastic model (Wilkins model) is recovered in the small deformation limit.","PeriodicalId":149151,"journal":{"name":"Dynamic Damage and Fragmentation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127461540","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 : 1900-01-01DOI: 10.1002/9781119579311.ch1
P. Longère
Engineering design of structures that will withstand accidental events involving high strain rate and/or impact loading requires predictive modeling capabilities for reproducing numerically potential premature failure following adiabatic shear banding (ASB). The purpose of the present Chapter is to review ASB-oriented modeling approaches available in literature (while not pretending to be exhaustive) that provide a better understanding of adiabatic shear banding and its consequences in structural metals and alloys.
{"title":"Some Issues Related to the Modeling of Dynamic Shear Localization-assisted Failure","authors":"P. Longère","doi":"10.1002/9781119579311.ch1","DOIUrl":"https://doi.org/10.1002/9781119579311.ch1","url":null,"abstract":"Engineering design of structures that will withstand accidental events involving high strain rate and/or impact loading requires predictive modeling capabilities for reproducing numerically potential premature failure following adiabatic shear banding (ASB). The purpose of the present Chapter is to review ASB-oriented modeling approaches available in literature (while not pretending to be exhaustive) that provide a better understanding of adiabatic shear banding and its consequences in structural metals and alloys.","PeriodicalId":149151,"journal":{"name":"Dynamic Damage and Fragmentation","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114713453","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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