{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360865814735345536.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1186/s40623-023-01820-9"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1186/s40623-023-01820-9.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1186/s40623-023-01820-9/fulltext.html"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Thermoelastic instability on a frictional surface and its implication for size effect in friction experiments"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title><jats:p>Recent laboratory friction experiments on large rock samples revealed that dynamic weakening, a remarkable reduction in the friction coefficient at elevated slip rates, occurs at lower slip rates in larger samples. There is a large difference between the sizes of natural faults and those in laboratory experiments. Therefore, it is crucial to understand the effect of size on rock friction. In the field of tribology, the interaction between frictional heating and thermoelastic effect has long been investigated. It was shown that higher slip rates than the critical value <jats:inline-formula><jats:alternatives><jats:tex-math>$${V}_{\\mathrm{cr}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:msub>\n                    <mml:mi>V</mml:mi>\n                    <mml:mi>cr</mml:mi>\n                  </mml:msub>\n                </mml:math></jats:alternatives></jats:inline-formula> causes growth of temperature and normal stress heterogeneity (thermoelastic instability), and <jats:inline-formula><jats:alternatives><jats:tex-math>$${V}_{\\mathrm{cr}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:msub>\n                    <mml:mi>V</mml:mi>\n                    <mml:mi>cr</mml:mi>\n                  </mml:msub>\n                </mml:math></jats:alternatives></jats:inline-formula> is proportional to the wavenumber of the heterogeneity. Severely heterogeneous normal stress may cause concentration of frictional power, thus locally activating dynamic weakening and leading to macroscopic weakening. Because a larger sample hosts a perturbation of a smaller wavenumber, it is expected to weaken at a lower slip rate than a smaller sample. In this study, a new numerical method was developed for analysis of thermoelastic instability based on the definition of memory variables and numerical approximation to the integration kernel, for the 2-dimensional problem of a planar fault embedded in an infinite medium. This method was advantageous over the standard integral equation method in terms of numerical costs. Numerical solutions with the new method on sinusoidal perturbations in the normal stress were compared with previously derived steady-state solution and its stability for validation. The typical thermoelastic properties of gabbro yield <jats:inline-formula><jats:alternatives><jats:tex-math>$${V}_{\\mathrm{cr}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                  <mml:msub>\n                    <mml:mi>V</mml:mi>\n                    <mml:mi>cr</mml:mi>\n                  </mml:msub>\n                </mml:math></jats:alternatives></jats:inline-formula> in a range of experimentally adopted slip rates, indicating that the thermoelastic effect may play an important role in high-velocity friction experiments. Because the temperature rise and the resulting normal stress change smear out after the friction experiments, measurement of the temperature distribution in a sample during a friction experiment is important for further understanding the dynamic weakening and scale effect of rock friction.</jats:p>\n                <jats:p><jats:bold>Graphical Abstract</jats:bold></jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380865814735345539","@type":"Researcher","foaf:name":[{"@value":"Hiroyuki Noda"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"18805981"}],"prism:publicationName":[{"@value":"Earth, Planets and Space"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2023-05-05","prism:volume":"75","prism:number":"1","prism:startingPage":"71"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["https://creativecommons.org/licenses/by/4.0","https://creativecommons.org/licenses/by/4.0"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1186/s40623-023-01820-9.pdf"},{"@id":"https://link.springer.com/article/10.1186/s40623-023-01820-9/fulltext.html"}],"createdAt":"2023-05-05","modifiedAt":"2023-07-13","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=G","dc:title":"G"},{"@id":"https://cir.nii.ac.jp/all?q=Frictional%20heating","dc:title":"Frictional heating"},{"@id":"https://cir.nii.ac.jp/all?q=Friction%20experiment","dc:title":"Friction experiment"},{"@id":"https://cir.nii.ac.jp/all?q=QB275-343","dc:title":"QB275-343"},{"@id":"https://cir.nii.ac.jp/all?q=QE1-996.5","dc:title":"QE1-996.5"},{"@id":"https://cir.nii.ac.jp/all?q=Dynamic%20weakening","dc:title":"Dynamic weakening"},{"@id":"https://cir.nii.ac.jp/all?q=Thermoelastic%20instability","dc:title":"Thermoelastic instability"},{"@id":"https://cir.nii.ac.jp/all?q=Geography.%20Anthropology.%20Recreation","dc:title":"Geography. Anthropology. Recreation"},{"@id":"https://cir.nii.ac.jp/all?q=Geology","dc:title":"Geology"},{"@id":"https://cir.nii.ac.jp/all?q=Size%20effect","dc:title":"Size effect"},{"@id":"https://cir.nii.ac.jp/all?q=Simulation","dc:title":"Simulation"},{"@id":"https://cir.nii.ac.jp/all?q=Geodesy","dc:title":"Geodesy"}],"project":[{"@id":"https://cir.nii.ac.jp/crid/1040008389833171968","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"21H05201"},{"@type":"JGN","@value":"JP21H05201"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PLANNED-21H05201/"}],"notation":[{"@language":"ja","@value":"Slow-to-Fast現象の物理化学プロセス解明"},{"@language":"en","@value":"Physicochemical processes in slow-to-fast phenomena"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360002216798563072","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Fault lubrication during earthquakes"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011145905559552","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Frictionally Excited Thermoelastic Instability in Automotive Disk Brakes"}]},{"@id":"https://cir.nii.ac.jp/crid/1360016868509619200","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Thermal properties of rocks"}]},{"@id":"https://cir.nii.ac.jp/crid/1360021390742212736","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Virtual earthquakes in a numerical granular rock box experiment"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620787429632","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Interactions between Temperature and Pore-Fluid Pressure during Earthquake Faulting and a Mechanism for Partial or Total Stress Relief"}]},{"@id":"https://cir.nii.ac.jp/crid/1360302872027043200","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Are stress distributions along faults the signature of asperity squeeze?"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567183478518528","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Systematic Breakdown of Amontons' Law of Friction for an Elastic Object Locally Obeying Amontons' Law"}]},{"@id":"https://cir.nii.ac.jp/crid/1360584343730871040","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Thermoelastic instability of sliding contact in the absence of wear"}]},{"@id":"https://cir.nii.ac.jp/crid/1360584343732144256","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"2D Quasi-Static Accurate Solutions for Isotropic Thermoelastic Materials with Applications"}]},{"@id":"https://cir.nii.ac.jp/crid/1360584346083648640","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Is frictional heating needed to cause dramatic weakening of nanoparticle gouge during seismic slip? 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