Hang Lin , Shijie Xie , Rui Yong , Yifan Chen , Shigui Du
{"title":"An empirical statistical constitutive relationship for rock joint shearing considering scale effect","authors":"Hang Lin , Shijie Xie , Rui Yong , Yifan Chen , Shigui Du","doi":"10.1016/j.crme.2019.08.001","DOIUrl":"10.1016/j.crme.2019.08.001","url":null,"abstract":"<div><p>The scale effect of rock joint shearing is of great significance in rock engineering. Most existing shear constitutive models could describe the pre- and post-peak deformation of rock joints, but only in one particular scale, that is, those existing models will fail to depict the rock joint shearing in different length scales. Therefore, this study aims to establish a constitutive relationship for rock joints with considering the scale effect. Based on the assumption of a random statistical distribution of rock material strength and statistical mesoscopic damage theory, damage variables are defined as the ratio of the number of damaged elements to the total number in the shear process. Together with the nonlinear relationship between the microelement failure and the joint scale, an empirical statistical constitutive relationship for joint is established. And then, the determination method of constitutive relationship parameters and the variation laws with the scale are discussed. Results show that the predicted results of the proposed empirical relationship not only agree well with the experimental results but also fully describe nonlinear deformation, pre-peak softening, post-peak softening, residual stage, and other mechanical properties of the shear deformation of joint with different dimensions, thereby demonstrating the rationality of the constitutive relationship. The physical meaning of the constitutive relationship parameters is clear, and the expressions of the constitutive relationship parameters can be deduced from the experimental results. In addition, the influence of scale effect on the shear deformation of rock joints can be quantified using parameters, which help accurately describe the action form of scale effect.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 8","pages":"Pages 561-575"},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.08.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134495658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Prediction of fatigue crack growth life under variable-amplitude loading using finite element analysis","authors":"Amina Remadi, Ahmed Bahloul, Chokri Bouraoui","doi":"10.1016/j.crme.2019.06.008","DOIUrl":"10.1016/j.crme.2019.06.008","url":null,"abstract":"<div><p>This article presents an elastic-plastic study aiming at predicting the fatigue crack growth (FCG) of 2024-T3 aluminum alloys under variable-amplitude loading. The proposed analysis needs the estimation of the residual stress distribution ahead of the crack tip during propagation. An elastic-plastic FE analysis has been implemented for modeling FCG using Chaboche's model. The FE study has been carried out through consideration of the loading history effect using the memory rules. Three different loading spectra have been applied in this work. The obtained results have been compared to the experimental ones and it has been proved that the suggested model has a better prediction of the FCG lives of cracked 2024-T3 aluminum alloy structures subjected to variable-amplitude loading.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 8","pages":"Pages 576-587"},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125888552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners","authors":"Christian Licht , Thibaut Weller","doi":"10.1016/j.crme.2019.07.001","DOIUrl":"10.1016/j.crme.2019.07.001","url":null,"abstract":"<div><p>We derive several models of thin plates equipped with a periodic distribution of stiffeners. Depending on the orders of magnitude of the different parameters involved, diverse situations arise, from classical Kirchhoff–Love behaviour with additional energy term to full rigidification.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 8","pages":"Pages 555-560"},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.07.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121058521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Saumur à l'époque d'Abraham de Moivre","authors":"Susi Calvert","doi":"10.1016/j.crme.2019.06.002","DOIUrl":"10.1016/j.crme.2019.06.002","url":null,"abstract":"<div><p>Cet article transporte le lecteur au <span>xvii</span><sup>e</sup> siècle à Saumur, à l'époque la capitale intellectuelle du protestantisme, marquée par un mélange d'équilibre et de tolérance entre deux confessions.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 532-534"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126109389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Abraham de Moivre : ses traces dans les mathématiques. Une analyse bibliométrique","authors":"Conor J. Maguire","doi":"10.1016/j.crme.2019.06.006","DOIUrl":"10.1016/j.crme.2019.06.006","url":null,"abstract":"<div><p>Nous analysons dans cet article, de manière quantitative, les traces d'Abraham de Moivre que l'on retrouve dans les littératures française et anglaise, en utilisant la technique de la bibliométrie. Nous analysons des dizaines de millions de livres et d'articles numérisés par Google Books, qui constituent une source riche de <em>big data</em>. Nous déployons le moteur de recherche N-gram. Les résultats montrent statistiquement l'influence de ce grand mathématicien français sur la théorie des probabilités et sur les nombres complexes. Bien qu'il ait passé la plus grande partie de sa vie en exil à Londres, nous suggérerons qu'il serait approprié qu'une rue soit baptisée du nom d'Abraham de Moivre dans la ville de Saumur, en France, où il a étudié pendant deux ans à l'Académie protestante.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 550-553"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125276912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Abraham de Moivre, sa vie et son œuvre","authors":"Marie-Claire Coët, Bruno Chanetz","doi":"10.1016/j.crme.2019.06.003","DOIUrl":"10.1016/j.crme.2019.06.003","url":null,"abstract":"<div><p>Cet article retrace la vie d'Abraham de Moivre, « ce fameux géomètre » qui vécut à la charnière du Grand Siècle et de celui des Lumières, natif de Vitry-le-François mais qui finit ses jours outre-Manche et « que la France a droit de revendiquer sur l'Angleterre », selon le mot de Fontenelle. De Moivre est malheureusement quelque peu oublié dans son pays d'origine, lacune que cette contribution veut s'employer à combler. Nous mettons également l'accent sur son œuvre, en rappelant que ses travaux sur les rentes viagères sont à l'origine de la création de la première assurance vie.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 527-531"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116460473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bruno Chanetz (Professeur associé à l'université de Paris-Nanterre)
{"title":"Hommage à Abraham de Moivre","authors":"Bruno Chanetz (Professeur associé à l'université de Paris-Nanterre)","doi":"10.1016/j.crme.2019.06.004","DOIUrl":"10.1016/j.crme.2019.06.004","url":null,"abstract":"","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 525-526"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131191702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"L'application des nombres complexes au calcul des profils d'aile","authors":"Bruno Chanetz","doi":"10.1016/j.crme.2019.06.005","DOIUrl":"10.1016/j.crme.2019.06.005","url":null,"abstract":"<div><p>Si le sujet central en est bien le calcul théorique de la forme d'une aile d'avion au moyen des nombres complexes, domaine dans lequel s'est illustré Abraham de Moivre, cet article présente quatre moyens très différents qui permettent de parvenir à établir ces résultats. Après un bref rappel de la théorie du vol, une première partie est consacrée aux travaux expérimentaux de Gustave Eiffel, puis, en poursuivant l'ordre chronologique, on traite la méthode des singularités due à Nicolaï Joukovski, puis un procédé analogique développé par Joseph Pérès et Lucien Malavard, et enfin la technique contemporaine de résolution numérique des équations de Navier–Stokes. Si le recours à l'expérience en soufflerie subsiste de nos jours, les méthodes théoriques et analogiques, qui ont eu leurs heures de gloire au milieu du <span>xx</span><sup>e</sup> siècle, sont aujourd'hui abandonnées, la puissance de calcul des ordinateurs les rendant désormais désuètes. Pour autant, elles constituent des manières très élégantes de résoudre le problème.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 544-549"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130501568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Piotr Graczyk , Emmanuelle Guernier , Jean-Jacques Loeb
{"title":"De Moivre, précurseur des mathématiques modernes","authors":"Piotr Graczyk , Emmanuelle Guernier , Jean-Jacques Loeb","doi":"10.1016/j.crme.2019.06.007","DOIUrl":"10.1016/j.crme.2019.06.007","url":null,"abstract":"<div><p>De Moivre est l'auteur de deux livres de mathématiques : <em>The Doctrine of Chances</em> ( « La Théorie du hasard ») et <em>Miscellanea Analytica</em>, dans lesquels il pose les fondations des probabilités modernes. Y apparaît pour la première fois la loi normale (associée à la fameuse courbe en cloche) qui aura le succès que l'on connaît. Il est aussi l'auteur d'une formule « magique » associant trigonométrie et nombres imaginaires. Développée par Euler et ses successeurs, cette formule est le premier chaînon de la théorie des fonctions analytiques.</p><p>Le nom d'Abraham de Moivre apparaît ainsi en terminale des lycées (Théorème de Moivre–Laplace) et en première année de cursus universitaire (formule de Moivre trigonométrique).</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 7","pages":"Pages 535-543"},"PeriodicalIF":0.8,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.06.007","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132179873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hang Lin , Xuran Ding , Rui Yong , Wanzhong Xu , Shigui Du
{"title":"Effect of non-persistent joints distribution on shear behavior","authors":"Hang Lin , Xuran Ding , Rui Yong , Wanzhong Xu , Shigui Du","doi":"10.1016/j.crme.2019.05.001","DOIUrl":"10.1016/j.crme.2019.05.001","url":null,"abstract":"<div><p>The particle flow code 2D (PFC2D) is used to establish a coplanar, non-persistent joint model. Three joint distribution types, namely, both-side (type a), scattered (type b), and central (type c), are set according to their position. Numerical simulations of the direct shear test are conducted to investigate the effect of non-persistent joint distribution and connectivity on shear mechanical behavior. Simulation results are in good agreement with the analytical solutions to Jennings' criterion, and show: (1) type-c and type-b joints have high strength, whereas type-a joints have low strength. Shear strength and modulus increase with a decrease in joint persistency, and the shear displacement that correspond to shear strength increases with a decrease in persistency. (2) The brittle failure characteristics of the sample are evident when the intact rock bridge area is large. Reinforcement at both ends of the joint limits shear deformation, and shear strength can be effectively improved when joint persistency is large. The small-area dispersed reinforcement joint method cannot effectively improve shear strength. (3) The comprehensive shear strength parameters and the shear strength of the non-persistent joints can be predicted well using Jennings' criterion. Cohesion is the dominant factor that controls shear strength.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 6","pages":"Pages 477-489"},"PeriodicalIF":0.8,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.05.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123423710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}