Spectra of Internal Friction in Polyethylene
The study of spectra of internal friction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/14/4/675 |
| _version_ | 1797477080270635008 |
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| author | Viktor A. Lomovskoy Svetlana A. Shatokhina Anatoly E. Chalykh Vladimir V. Matveev |
| author_facet | Viktor A. Lomovskoy Svetlana A. Shatokhina Anatoly E. Chalykh Vladimir V. Matveev |
| author_sort | Viktor A. Lomovskoy |
| collection | DOAJ |
| description | The study of spectra of internal friction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and temperature dependencies of frequency of freely damped <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> oscillatory process excited in investigated samples of polyethylene with different degree of crystallinity in the temperature range from −150 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>°</mo></msup></semantics></math></inline-formula>C to +150 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>°</mo></msup></semantics></math></inline-formula>C. It is established that four local dissipative processes of different intensity shown in different temperature intervals are observed on the spectra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula>. These are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>β</mi><mi>k</mi></msub></semantics></math></inline-formula> processes. The theoretical analysis of the relationship between the anomalous changes of the vibrational process frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and the shift modulus defect <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Δ</mo><mi>G</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and the internal friction mechanisms for each of the dissipative loss processes detected on the spectrum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> is carried out. The influence of supramolecular structures on local dissipative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>β</mi><mi>k</mi></msub></semantics></math></inline-formula> process in polyethylene is estimated. |
| first_indexed | 2024-03-09T21:12:36Z |
| format | Article |
| id | doaj.art-fe563961d0034bb38fdd4f505b3e296e |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-09T21:12:36Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-fe563961d0034bb38fdd4f505b3e296e2023-11-23T21:43:58ZengMDPI AGPolymers2073-43602022-02-0114467510.3390/polym14040675Spectra of Internal Friction in PolyethyleneViktor A. Lomovskoy0Svetlana A. Shatokhina1Anatoly E. Chalykh2Vladimir V. Matveev3Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences (IPCE RAS), Leninskiy Prospekt 31, 119071 Moscow, RussiaFrumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences (IPCE RAS), Leninskiy Prospekt 31, 119071 Moscow, RussiaFrumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences (IPCE RAS), Leninskiy Prospekt 31, 119071 Moscow, RussiaFrumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences (IPCE RAS), Leninskiy Prospekt 31, 119071 Moscow, RussiaThe study of spectra of internal friction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and temperature dependencies of frequency of freely damped <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> oscillatory process excited in investigated samples of polyethylene with different degree of crystallinity in the temperature range from −150 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>°</mo></msup></semantics></math></inline-formula>C to +150 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>°</mo></msup></semantics></math></inline-formula>C. It is established that four local dissipative processes of different intensity shown in different temperature intervals are observed on the spectra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula>. These are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>β</mi><mi>k</mi></msub></semantics></math></inline-formula> processes. The theoretical analysis of the relationship between the anomalous changes of the vibrational process frequency <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ν</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and the shift modulus defect <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Δ</mo><mi>G</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> and the internal friction mechanisms for each of the dissipative loss processes detected on the spectrum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>=</mo><mi>f</mi><mfenced open="(" close=")"><mi>T</mi></mfenced></mrow></semantics></math></inline-formula> is carried out. The influence of supramolecular structures on local dissipative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>β</mi><mi>k</mi></msub></semantics></math></inline-formula> process in polyethylene is estimated.https://www.mdpi.com/2073-4360/14/4/675polyethyleneinternal friction spectralocal dissipative processesrelaxation timeshear modulus defectdissipation mechanisms |
| spellingShingle | Viktor A. Lomovskoy Svetlana A. Shatokhina Anatoly E. Chalykh Vladimir V. Matveev Spectra of Internal Friction in Polyethylene Polymers polyethylene internal friction spectra local dissipative processes relaxation time shear modulus defect dissipation mechanisms |
| title | Spectra of Internal Friction in Polyethylene |
| title_full | Spectra of Internal Friction in Polyethylene |
| title_fullStr | Spectra of Internal Friction in Polyethylene |
| title_full_unstemmed | Spectra of Internal Friction in Polyethylene |
| title_short | Spectra of Internal Friction in Polyethylene |
| title_sort | spectra of internal friction in polyethylene |
| topic | polyethylene internal friction spectra local dissipative processes relaxation time shear modulus defect dissipation mechanisms |
| url | https://www.mdpi.com/2073-4360/14/4/675 |
| work_keys_str_mv | AT viktoralomovskoy spectraofinternalfrictioninpolyethylene AT svetlanaashatokhina spectraofinternalfrictioninpolyethylene AT anatolyechalykh spectraofinternalfrictioninpolyethylene AT vladimirvmatveev spectraofinternalfrictioninpolyethylene |