Fractal material science: A new direction in materials science

Иванова, В. С.; Bunin, I.J.; Nosenko, V. I.

doi:10.1007/s11837-998-0068-1

Cited by 20 publications

(14 citation statements)

References 2 publications

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“…The presented experimental data on the PA response variation in the course of annealing of the Al 2 O 3 -SiC-TiC ceramic are well consistent with the commonly accepted opinion that annealing decreases residual stress [26].…”

Section: Methodsupporting

confidence: 88%

“…For one of these cracks, some increase in the PA signal was observed after the 16-hour annealing. This event probably takes place because the regions of the material near crack tips are in a signi¯cantly nonequilibrium thermodynamic state [26], so that even weak thermal stresses can a®ect the crack growth. However, this event does not violate the general tendency.…”

Section: Methodmentioning

confidence: 99%

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Theoretical and experimental investigation of the photoacoustic effect in solids with residual stresses

Muratikov

Глазов

2003

Open Physics

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Modern experiment and theory in the eld of residual stress detection by the photoacoustic method are summarized and analyzed. A multimode approach based on the simultaneous application of several photothermal and photoacoustic methods is proposed for the study of thermal and thermoelastic e¬ects in solids with residual stress. Some experimental results obtained within the framework of this approach for Vickers indentation zones in ceramics are presented. The e¬ect of annealing on the photoacoustic, piezoelectric signal for ceramics and the in®uence of the given external loading on the behavior of the photoacoustic signal near the radial crack tips is investigated. It is experimentally shown that both compressive and shear stresses contribute to the photoacoustic signal near the radial crack tips. The model of the photoacoustic, thermoelastic e¬ect in solids with residual stress is proposed. It is based on the modi ed Murnaghan model of non-linear elastic bodies, which takes into account a possible dependence of the thermoelastic constant on stress. This model is further developed to explain the photoacoustic signal behavior near the radial crack tips. It is demonstrated that this model of the photoacoustic e¬ect agrees qualitatively with the available experimental data.

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Section: Methodsupporting

confidence: 88%

Section: Methodmentioning

confidence: 99%

Theoretical and experimental investigation of the photoacoustic effect in solids with residual stresses

Muratikov

Глазов

2003

Open Physics

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“…The distributions of stress concentrators on working cutter surfaces defines the character of adhesion interaction with material to be worked and tool material wear [3].…”

Section: Problem Definitionmentioning

confidence: 99%

Role of adhesive interaction centers in control of chip formation and cutter wear

2017

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Abstract. Adhesive processes define the character of chips formation and a tool-wear rate. As a result of the investigation of chip inner surfaces and a cutting face of the tangential cutting plate of LNMX (LNUX) 301940 type (of different manufacturers including Sandvik coromant, Korloy, Kennenmetel, Pramet) after recovery turning a tread of railway thermo-strengthened wheel pairs it is established that there is a possibility of the process control in minimization of continuous chips formation based on the account of peculiarities in the adhesion interaction of the material under machining and the cutting one; a conditional chart of the distribution of bifurcation centers on deformation-energetic scales of tool material and chips is formed; there is developed a cutter plate of the own design minimizing a possibility of continuous chips formation.

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“…Thus, a well-known grain boundary, being the most significant element of the microstructure, is curvilinear, and this form can be described by the fractal dimension (D) correlating to 1 ≤ D ≤ 2. Surface defects may also be illustrated using the fine dimension that will commensurate to the range 2 ≤ D ≤ 3 [3]. Therefore, fractal theory introduces a new quantitative parameter-fractal dimension for illustrating structures, which, because of its universal nature, is appropriate for illustrating structures in systems types.…”

Section: Introductionmentioning

confidence: 99%

“…With a system such as a deformed solid, the fractal concept provides the possibility of quantitatively illustrating the elements of the initial microstructure (e.g., phases, grain, boundaries, etc.) and the structures formed during deformation [3]. Fractal theory thus provides a new and effective method for characterizing complex structure of the engineering materials.…”

Section: Introductionmentioning

confidence: 99%

Fractal Geometry and Porosity

Agboola¹,

Onyango²,

Popoola³

et al. 2017

Fractal Analysis - Applications in Physics, Engineering and Technology

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A fractal is an object or a structure that is self-similar in all length scales. Fractal geometry is an excellent mathematical tool used in the study of irregular geometric objects. The concept of the fractal dimension, D, as a measure of complexity is defined. The concept of fractal geometry is closely linked to scale invariance, and it provides a framework for the analysis of natural phenomena in various scientific and engineering domains. The relevance of the power law scaling relationships is discussed. Fractal characteristics of porous media and the characteristic method of the porous media are also discussed. Different methods of analysis on the permeability of porous media are discussed in this chapter.

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Fractal material science: A new direction in materials science

Cited by 20 publications

References 2 publications

Theoretical and experimental investigation of the photoacoustic effect in solids with residual stresses

Theoretical and experimental investigation of the photoacoustic effect in solids with residual stresses

Role of adhesive interaction centers in control of chip formation and cutter wear

Fractal Geometry and Porosity

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