Fast error estimates for indirect measurements: applications to pavement engineering

Ferregut, Carlos M.; Nazarian, Soheil; Vennalaganti, K.; Chang, Chao-Chi; Kreinovich, Vladik

doi:10.1007/bf02391696

Cited by 7 publications

(6 citation statements)

References 6 publications

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“…where s is the sample standard deviation; N is the number of parallel experiments; t p ðmÞ is the critical value for p percent of two-tailed t-distribution with defined degrees of freedom (m); Dy is the error of indirect measurements, which was calculated using the numerical differentiation method [52]:…”

Section: Statistical Data Analysismentioning

confidence: 99%

Evaluation of magnetic nanoparticles for magnetic fluid hyperthermia

Lanier

Korotych

Monsalve

et al. 2019

International Journal of Hyperthermia

123

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Background: Magnetic nanoparticles (MNPs) generate heat when exposed to an alternating magnetic field. Consequently, MNPs are used for magnetic fluid hyperthermia (MFH) for cancer treatment, and have been shown to increase the efficacy of chemotherapy and/or radiation treatment in clinical trials. A downfall of current MFH treatment is the inability to deliver sufficient heat to the tumor due to: insufficient amounts of MNPs, unequal distribution of MNPs throughout the tumor, or heat loss to the surrounding environment. Objective: In this study, the objective was to identify MNPs with high heating efficiencies quantified by their specific absorption rate (SAR). Methods: A panel of 31 commercially available MNPs were evaluated for SAR in two different AMFs. Additionally, particle properties including iron content, hydrodynamic diameter, core diameter, magnetic diameter, magnetically dead layer thickness, and saturation mass magnetization were investigated. Results: High SAR MNPs were identified. For SAR calculations, the initial slope, corrected slope, and Box-Lucas methods were used and validated using a graphical residual analysis, and the Box-Lucas method was shown to be the most accurate. Other particle properties were identified and examined for correlations with SAR values. Positive correlations of particle properties with SAR were found, including a strong correlation for the magnetically dead layer thickness. Conclusions: This work identified high SAR MNPs for hyperthermia, and provides insight into properties which correlate with SAR which will be valuable for synthesis of next-generation MNPs. SAR calculation methods must be standardized, and this work provides an in-depth analysis of common calculation methods.

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Section: Statistical Data Analysismentioning

confidence: 99%

Evaluation of magnetic nanoparticles for magnetic fluid hyperthermia

Lanier

Korotych

Monsalve

et al. 2019

International Journal of Hyperthermia

123

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“…However, the stress-strain relationship for the material that the sample consists of is obtained using indirect measurements, so these results may contain errors. The method of indirect measurements and algorithms for estimating the errors of such measurements are given in the article [21]. From the point of view of the theory of indirect measurements [21], within the framework of the given work the following problem appears.…”

Section: The Problem Of Consistency Between Plots Of Load-displacemen...mentioning

confidence: 99%

A Damage Model to Trabecular Bone and Similar Materials: Residual Resource, Effective Elasticity Modulus, and Effective Stress under Uniaxial Compression

Kolesnikov

Meltser

2021

Symmetry

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Experimental research of bone strength remains costly and limited for ethical and technical reasons. Therefore, to predict the mechanical state of bone tissue, as well as similar materials, it is desirable to use computer technology and mathematical modeling. Yet, bone tissue as a bio-mechanical object with a hierarchical structure is difficult to analyze for strength and rigidity; therefore, empirical models are often used, the disadvantage of which is their limited application scope. The use of new analytical solutions overcomes the limitations of empirical models and significantly improves the way engineering problems are solved. Aim of the paper: the development of analytical solutions for computer models of the mechanical state of bone and similar materials. Object of research: a model of trabecular bone tissue as a quasi-brittle material under uniaxial compression (or tension). The new ideas of the fracture mechanics, as well as the methods of mathematical modeling and the biomechanics of bone tissues were used in the work. Compression and tension are considered as asymmetric mechanical states of the material. Results: a new nonlinear function that simulates both tension and compression is justified, analytical solutions for determining the effective and apparent elastic modulus are developed, the residual resource function and the damage function are justified, and the dependences of the initial and effective stresses on strain are obtained. Using the energy criterion, it is proven that the effective stress continuously increases both before and after the extremum point on the load-displacement plot. It is noted that the destruction of bone material is more likely at the inflection point of the load-displacement curve. The model adequacy is explained by the use of the energy criterion of material degradation. The results are consistent with the experimental data available in the literature.

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“…Then, we can use the corresponding formula (3) or (4) to estimate the error of indirect measurement of £ . This method was successfully used in pavement engineering [10,21].…”

Section: ¡ # "mentioning

confidence: 99%