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Breakdown of disordered media by surface loads
Malmö högskola, School of Technology (TS). Solid Mechanics, Lund University, SE 221 00 Lund, Sweden.
Malmö högskola, School of Technology (TS). Quantum Technologies, Uppsala Science Park, SE 751 83 Uppsala, Sweden.
2005 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 72, no 3Article, review/survey (Refereed) Published
Abstract [en]

We model an interface layer connecting two parts of a solid body by 𝑁 parallel elastic springs connecting two rigid blocks. We load the system by a shear force acting on the top side. The springs have equal stiffness but are ruptured randomly when the load reaches a critical value. For the considered system, we calculate the shear modulus 𝐺 as a function of the order parameter 𝜙 describing the state of damage, and also the “spalled” material (burst) size distribution. In particular, we evaluate the relation between the damage parameter and the applied force and explore the behavior in the vicinity of material breakdown. Using this simple model for material breakdown, we show that damage, caused by applied shear forces, is analogous to a first-order phase transition. The scaling behavior of 𝐺 with 𝜙 is explored analytically and numerically, close to 𝜙=0 and 𝜙=1 and in the vicinity of 𝜙𝑐, when the shear load is close to but below the threshold force that causes material breakdown. Our model calculation represents a first approximation of a system subject to wear induced loads.

Place, publisher, year, edition, pages
American Physical Society, 2005. Vol. 72, no 3
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:mau:diva-1242DOI: 10.1103/PhysRevE.72.036129ISI: 000232227800037PubMedID: 16241537Scopus ID: 2-s2.0-28844502820Local ID: 4903OAI: oai:DiVA.org:mau-1242DiVA, id: diva2:1397957
Available from: 2020-02-27 Created: 2020-02-27 Last updated: 2024-08-20Bibliographically approved

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Massih, Ali R

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