We consider a mode II rupture which propagates along a planar main fault and encounters an intersection with a branching fault. Using an elastodynamic boundary integral equation formulation, allowing the failure path to be dynamically self‐chosen, we study the following questions: Does the rupture initiate along the branch? Does it continue? Is the extensional or compressional side most favored for branching? Does rupture continue on the main fault too? Failure is described by a slip‐weakening law for which the strength at any amount of slip is proportional to normal stress. Our results show that dynamic stresses around the rupture tip, which increase with rupture velocity at locations off the main fault plane relative to those on it, could initiate rupture on a branching fault. As suggested by prior work, whether branched rupture can be continued to a larger scale depends on principal stress directions in the prestress state and on rupture velocity. The most favored side for branching rupture switches from the extensional to the compressional side as we consider progressively shallower angles of the direction of maximum compressive prestress with the main fault. Simultaneous rupturing on both faults can be activated when the branching angle is wide but is usually difficult for a narrow branching angle due to strong stress interactions between faults. However, it can be also be activated by enhanced dynamic stressing when the rupture velocity is very near the Rayleigh velocity. Natural examples seem consistent with the simulations that we present.
Abstract The interfacial properties of organic materials are of critical importance in many applications, especially the control of wettability, adhesion, tribology, and corrosion. The relationships between the microscopic structure of an organic surface and its macroscopic physical properties are, however, only poorly understood. This short review presents a model system that has the case of preparation and the structural definition required to provide a firm understanding of interfacial phenomena. Long‐chain thiols, HS(CH 2 ) n X, adsorb from solution onto gold and form densely packed, oriented monolayers. By varying the terminal functional group, X, of the thiol, organic surfaces can be created having a wide range of structures and properties. More complex systems can be constructed by coadsorbing two or more thiols with different terminal functional groups or with different terminal functional groups or with different chain lengths onto a common gold substrate. By these techniques, controlled degrees of disorder can be introduced into model surfaces. We have used these systems to explore the relationships between the microscopic structure of the monolayers on a molecular and supramolecular scale and their macroscopic properties. Wettability is a macroscopic interfacial property that has proven of particular interest.
<p>Supplementary methods and tables 1-7. Supplementary Methods: Covariate assessment and statistical analysis Supplementary Table 1. Relative risk of colorectal cancer by body mass index according to weight change from age 18 (women) or 21 (men) years to baseline Supplementary Table 2. Relative risk of colorectal cancer by baseline age according to weight change from age 18 (women) or 21 (men) years to baseline Supplementary Table 3. Subsite-specific relative risk of colorectal cancer according to weight change from age 18 (women) or 21 (men) years to baseline Supplementary Table 4. Relative risk of colorectal cancer by baseline use of aspirin according to weight change from age 18 (women) or 21 (men) years to baseline Supplementary Table 5. Relative risk of colorectal cancer by current age according to weight change from baseline to present Supplementary Table 6. Relative risk of colorectal cancer by current age according to 4-year weight change during follow-up Supplementary Table 7. Relative risk of colorectal cancer by postmenopausal hormone use according to postmenopausal weight change</p>
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTSynthesis of methoxycarbonyl phosphate, new reagent having high phosphoryl donor potential for use in ATP cofactor regenerationRomas J. Kazlauskas and George M. WhitesidesCite this: J. Org. Chem. 1985, 50, 7, 1069–1076Publication Date (Print):April 1, 1985Publication History Published online1 May 2002Published inissue 1 April 1985https://pubs.acs.org/doi/10.1021/jo00207a031https://doi.org/10.1021/jo00207a031research-articleACS PublicationsRequest reuse permissionsArticle Views525Altmetric-Citations29LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts