G. Albertini, Mathias Lebihain, F. Hild, L. Ponson, David S. Kammer
{"title":"Effective toughness of periodic heterogeneous materials: the role of rate-dependent fracture energies","authors":"G. Albertini, Mathias Lebihain, F. Hild, L. Ponson, David S. Kammer","doi":"10.26226/morressier.5f5f8e69aa777f8ba5bd5fd2","DOIUrl":"https://doi.org/10.26226/morressier.5f5f8e69aa777f8ba5bd5fd2","url":null,"abstract":"Dynamic fracture of heterogeneous materials is investigated by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled toughness. We provide direct evidence of crack speed jumps at the boundary of obstacles. Our experiments reveal that such a discontinuous dynamics emerges from rate-dependent fracture energy, which combined with inertia, allows the crack to cross a toughness discontinuity at constant energy release rate. The rate-dependency, a direct consequence of the out-of-equilibrium nature of fracture phenomenon that is often neglected, plays a central role in setting up homogenized toughness, leading ultimately to increased resistance to failure.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"150 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77408206","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":"The Role of annealed defects on conformational statistics of a selfavoiding semi-flexible polymer chain: Exact Results (I)","authors":"Pramod Kumar Mishra","doi":"10.24327/IJCAR.2020.21291.4179","DOIUrl":"https://doi.org/10.24327/IJCAR.2020.21291.4179","url":null,"abstract":"We study equilibrium statistics of single semi-flexible polymer chain in the presence of defects. The defects are lying along a line in the two and three dimensions and the monomers are interacting with the onsite potential of the defects. A fully directed self-avoiding walk model is used in two and three dimensions to describe thermo-dynamical behaviour of the chain in the presence of m defects. We have found that the number of conformations of the semiflexible polymer chain may be controlled by means of introduction of such defects so that a particular fraction of the chain conformations may be either suppressed or populated as per our requirements for synthesizing the polymer-nanoaggregates. We discuss the role of annealed defects for its Q realizations and m defects analytically, i. e. when the defects are in the thermal equilibrium with the monomers of the semi-flexible chain.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"110 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85579075","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}
A. Pandey, A. Pandey, B. Andreotti, S. Karpitschka, G. Zwieten, E. V. Brummelen, J. Snoeijer
{"title":"Singular Nature of the Elastocapillary Ridge","authors":"A. Pandey, A. Pandey, B. Andreotti, S. Karpitschka, G. Zwieten, E. V. Brummelen, J. Snoeijer","doi":"10.1103/PHYSREVX.10.031067","DOIUrl":"https://doi.org/10.1103/PHYSREVX.10.031067","url":null,"abstract":"The functionality of soft interfaces is crucial to many applications in biology and surface science. Recent studies have used liquid drops to probe the surface mechanics of elastomeric networks. Experiments suggest an intricate surface elasticity, also known as the Shuttleworth effect, where surface tension is not constant but depends on substrate deformation. However, interpretations have remained controversial due to singular elastic deformations, induced exactly at the point where the droplet pulls the network. Here we reveal the nature of the elastocapillary singularity on a hyperelastic substrate with various constitutive relations for the interfacial energy. First, we finely resolve the vicinity of the singularity using goal-adaptive finite element simulations. This confirms the universal validity, also at large elastic deformations, of the previously disputed Neumann's law for the contact angles. Subsequently, we derive exact solutions of nonlinear elasticity that describe the singularity analytically. These solutions are in perfect agreement with numerics, and show that the stretch at the contact line, as previously measured experimentally, consistently points to a strong Shuttleworth effect. Finally, using Noether's theorem we provide a quantitative link between wetting hysteresis and Eshelby-like forces, and thereby offer a complete framework for soft wetting in the presence of the Shuttleworth effect.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83065994","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}
C. Saichand, Jaya Kumar Alageshan, A. Roy, Y. Hatwalne
{"title":"Stability of topological wall defects on spheres with \u0000n\u0000-atic order","authors":"C. Saichand, Jaya Kumar Alageshan, A. Roy, Y. Hatwalne","doi":"10.1103/PHYSREVRESEARCH.2.023215","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.2.023215","url":null,"abstract":"Topological point defects on orientationally ordered spheres, and on deformable fluid vesicles have been partly motivated by their potential applications in creating super-atoms with directional bonds through functionalization of the \"bald-spots\" created by topological point defects, thus paving the way for atomic chemistry at micron scales. We show that singular wall defects, topologically unstable \"bald lines\" in two dimensions, are stabilized near the order-disorder transition on a sphere. We attribute their stability to free-energetic considerations, which override those of topological stability.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79781360","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}