Two-Sided Estimates for the Relaxation Function of the Linear Theory of Heredity via the Relaxation Curves during the Ramp-Deformation and the Methodology of Identification

Хохлов, А. В.

doi:10.3103/s0025654418070105

Cited by 19 publications

(5 citation statements)

References 35 publications

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“…Several correction factors for the finite ramp duration were suggested. [28][29][30] Among them, the most advanced techniques apply backward and forward recursive procedures for the determination of the relaxation modulus. However, the recursive procedures involve numerical differentiation steps and thus are sensitive to the noise level in the experimental data.…”

Section: Resultsmentioning

confidence: 99%

A time-shift correction for extraction of viscoelastic parameters from ramp-hold AFM experiments

Efremov

Kotova

Khlebnikova

et al. 2021

Jpn. J. Appl. Phys.

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The stress relaxation and creep measurements are commonly implemented in AFM indentation experiments to analyze the viscoelastic properties of a sample in the time domain. The assumption of an instantaneous step load is often applied which can lead to erroneous estimation of viscoelastic parameters from the experimental data. A viscoelastic solution for the ramp-hold indentation profile might be used but requires higher computational costs. Here, we employed simulations for the ramp-hold indentations for the power-law rheology (PLR) and standard linear solid models. The error coming from the instantaneous load assumption was analyzed and a simple empirical correction for the finite ramp time was employed as a time shift of the hold region. The correction was tested in experiments on cells, in which the data from stress relaxation, creep, and force volume experiments were compared. The correction showed good applicability for the extraction of the PLR viscoelastic parameters.

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Section: Resultsmentioning

confidence: 99%

A time-shift correction for extraction of viscoelastic parameters from ramp-hold AFM experiments

Efremov

Kotova

Khlebnikova

et al. 2021

Jpn. J. Appl. Phys.

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“…. В столь общей форме ОС исследованию ещё не подвергалось до статей [1][2][3][4][5][6][7][8][9][10]. В них доказано, что это ОС в обобщённой формулировке и при определенных ограничениях на свои МФ хорошо описывает более десятка базовых эффектов, типичных для вязкоупругопластических твердых тел (а не только для жидких вязкоупругих сред), в частности, пригодно для описаний кривых нагружения и разгрузки, циклического нагружения, эффектов при ползучести и сверхпластическом деформировании.…”

Section: ε (unclassified

A Nonlinear Model of the Shear Flow of Thixotropic Viscoelastic Media, Taking Into Account the Mutual Influence of the Evolution of the Structure and the Deformation Process, and Its Analysis

Khokhlov¹,

Gulin²,

Stolin³

2022

Physical Mesomechanics of Materials. Physical Principles of Multi-Layer Structure Forming and Mechanisms of Non-Linear Behavior

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“…A large number of scholars have studied and analyzed this, hoping to reduce the influence of the strain application process on the relaxation modulus test process through a reasonable method. Some scholars used the step strain history method of the indentation instrument to measure the relaxation modulus by correcting the data in the relaxation stage [6][7][8][9][10]. e correction method of Zapas and Phillips [6] is the simplest, which is calculated by moving the relaxation area forward for a certain time range.…”

Section: Introductionmentioning

confidence: 99%

“…e correction method of Zapas and Phillips [6] is the simplest, which is calculated by moving the relaxation area forward for a certain time range. Of course, some scholars calculate the relaxation modulus by adding correction factors [8][9][10]. Among them, the best method is to calculate the relaxation modulus by using the measured data with the minimum error between the relaxation data after 5t 0 -10t 0 and the ideal step loading in a recursive manner [6,7].…”

Section: Introductionmentioning

confidence: 99%

Study on the Testing Method of Relaxation Modulus under Spherical Indenter Loading

Wan

Lin

et al. 2022

Advances in Materials Science and Engineering

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Viscoelastic materials are widely used in various fields. In order to better use viscoelastic materials in various working conditions, it is necessary to master the material properties of viscoelastic materials. Relaxation modulus is a characterization method of viscoelastic material properties. In this paper, by analyzing that viscoelastic materials are time-domain related parameters, the load-time curves are obtained by using the spherical indentation instrument to carry out the ramp loading indentation test at different speeds. According to the law of ramp strain history loading, the data at different velocities are summarized and a method for judging the linear viscoelastic boundary of viscoelastic materials in spherical indentation tests is obtained. Aggregate the load-time data at different speeds to obtain a set of valid data for a longer period of time. A method of measuring the relaxation modulus using the ramp-constant strain history is proposed. Compared with the ramp loading test method, it is simple and easy to operate, and it can make up for the short time period of the measured data in the ramp loading test. The experiment verifies the feasibility of the method of ramp-constant strain history.

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Two-Sided Estimates for the Relaxation Function of the Linear Theory of Heredity via the Relaxation Curves during the Ramp-Deformation and the Methodology of Identification

Cited by 19 publications

References 35 publications

A time-shift correction for extraction of viscoelastic parameters from ramp-hold AFM experiments

A time-shift correction for extraction of viscoelastic parameters from ramp-hold AFM experiments

A Nonlinear Model of the Shear Flow of Thixotropic Viscoelastic Media, Taking Into Account the Mutual Influence of the Evolution of the Structure and the Deformation Process, and Its Analysis

Study on the Testing Method of Relaxation Modulus under Spherical Indenter Loading

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