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Titlebook: Disorder and Fracture; J. C. Charmet,S. Roux,E. Guyon Book 1990 Plenum Press, New York 1990 Simulation.fracture mechanics.geometry.lineari

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,Hydromechanik (Mechanik der Flüssigkeiten),e percolation threshold. An infinite set of critical exponents governs the scaling of the moments of the distribution of currents with the system size. The “Legendre transform” of this series is shown to be connected to the histogram of the current distribution, through the formalism of multifractality.
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Book 1990k may appear anywhere in the structure once the threshold stress is reached. However, once a crack has been nucleated in some place, further damage in the solid will in most cases propagate from the initial crack, and not somewhere else in the solid. In this sense fracture is an unstable process. Th
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0258-1221 ld, a crack may appear anywhere in the structure once the threshold stress is reached. However, once a crack has been nucleated in some place, further damage in the solid will in most cases propagate from the initial crack, and not somewhere else in the solid. In this sense fracture is an unstable p
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Der Arbeitsbegriff in der Elastostatik,ered include interfaces pinned in random media, growth fronts in deposition, and surface of an evolving sandpile. In these cases the origin of the dynamically organized criticality can be traced to symmetries or conservation laws.
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https://doi.org/10.1007/978-3-662-68666-9force vs. displacement): we discuss its universal scaling behaviour. Moreover, the distribution of local strain has multifractal scaling properties just before the system breaks fully apart. All the presented results appear to be universal with respect to different distributions of quenched disorder in the thresholds and other models for fracture.
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Theory and Simulation of Diffusion-Limited Growthhich may be of relevance for understanding crack patterns. The purpose of this lecture is to give a short introduction to these phenomena; for comprehensive treatment the reader is referred to extensive recent reviews..
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