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Three different approaches for damage domain characterization in disordered materials: Fractal energy density, b-value statistics, renormalization group theory

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TLDR
In this paper, three different approaches are used to evaluate the physical dimension of the damage domain in disordered materials subjected to uniaxial compression and renormalization group procedure.
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This article is published in Mechanics of Materials.The article was published on 2012-10-01. It has received 60 citations till now. The article focuses on the topics: Fractal & Fractal dimension.

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Citations
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Damage classification in reinforced concrete beam by acoustic emission signal analysis

TL;DR: In this article, the acoustic emission parameters of amplitude, rise time, average frequency and signal strength were used to classify the damage and to determine the damage level in a beam with an increasing loading cycle.
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Cracking and crackling in concrete-like materials: A dynamic energy balance

TL;DR: In this article, an analysis of the acoustic emission and energy fields of concrete beams with respect to three-point bending (TPB) tests on concrete beams of different sizes is carried out.
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A Novel Experimental Technique to Simulate Pillar Burst in Laboratory

TL;DR: In this article, a series of tests were conducted on some granite specimens using a true-triaxial strainburst test system and acoustic emission (AE) sensors were used to monitor the rock fracturing process.
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True-Triaxial Experimental Study of the Evolutionary Features of the Acoustic Emissions and Sounds of Rockburst Processes

TL;DR: In this paper, the evolutionary features of the acoustic emissions and sound signals were investigated to improve the accuracy of rockburst prediction, and a quiescent period was observed in both the evolutionary process of the AE hits and the sound waveform on the eve of a rockburst.
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Heterogeneous materials in compression: Correlations between absorbed, released and acoustic emission energies

TL;DR: In this paper, the authors investigated the correlation between absorbed, released and acoustic emission energies, and obtained the complete load vs displacement curves up to complete failure, evidencing very different post-peak responses by varying the material, even for the same size and slenderness.
References
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Book

The Fractal Geometry of Nature

TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
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The Fractal Geometry of Nature

TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Book

Fractals and Chaos in Geology and Geophysics

TL;DR: In this paper, the fundamental concepts of fractal geometry and chaotic dynamics are introduced and related to a variety of geological and geophysical problems, illustrating just what chaos theory and fractals really tell us and how they can be applied to the earth sciences.
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Fractal character of fracture surfaces of metals

TL;DR: In this article, a new method, slit island analysis, is introduced to estimate the fractal dimension, D. The estimate is shown to agree with the value obtained by fracture profile analysis, a spectral method.
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The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes

TL;DR: In this paper, the frequency-magnitude relation of microfracture deformation was studied and the dependence of the parameter b on rock type, stress, and confining pressure was found to depend primarily on stress.
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