2005
DOI: 10.1007/s10778-006-0003-5
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On A. D. Kovalenko's Research Works on the Thermomechanics of Coupled Fields in Materials and Structural Members and Its Further Development

Abstract: A brief review is given to the research works of Academician A. D. Kovalenko that laid the foundations of the thermomechanics of coupled fields in inelastic materials and structural members under monoharmonic loading. The developments of Kovalenko's ideas by the associates of the Thermoelasticity Department founded by him are pointed out Introduction. All the research activity of Anatolii Dmitrievich Kovalenko was related to the S. P. Timoshenko Institute of Mechanics. First studies on thermomechanics were con… Show more

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Cited by 6 publications
(8 citation statements)
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“…The stationary vibrations and vibrational heating of linear viscoelastic bodies were studied and associated models were validated in [20][21][22]. The results obtained there were generalized in [2,11,[16][17][18][19]25]. The cited publications employed the concept of complex moduli, which was convincingly substantiated, both experimentally and theoretically, during the early development of the theory of linear thermoviscoelasticity in [1, 12, 14, 15, etc.…”
mentioning
confidence: 93%
“…The stationary vibrations and vibrational heating of linear viscoelastic bodies were studied and associated models were validated in [20][21][22]. The results obtained there were generalized in [2,11,[16][17][18][19]25]. The cited publications employed the concept of complex moduli, which was convincingly substantiated, both experimentally and theoretically, during the early development of the theory of linear thermoviscoelasticity in [1, 12, 14, 15, etc.…”
mentioning
confidence: 93%
“…This nonlinearity results from the temperature dependence of the material properties and the nonlinear dependence of the dissipation function on strains and temperature. It is adequately detailed in [6][7][8][9][10]. The vibrations of piezoelectric and viscoelastic plates are studied in [3][4][5].…”
mentioning
confidence: 99%
“…In the sequel, we omit j . The constitutive equations of nonlinear electroelasticity become [8] s e b e e e g g e g e = + + +…”
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confidence: 99%
“…The numerical results are in good agreement with experimental data on self-heating kinetics Keywords: viscoelastic material, vibrations, heating, layered prism Introduction. Research of the vibrations and self-heating of viscoelastic bodies is of theoretical and practical importance for the evaluation of the fatigue strength of polymer and rubber-metal members [2,5,15] and for the development of efficient polymer processes such as ultrasonic welding of plastics and their composites [3].Self-heating models for linear and nonlinear viscoelastic bodies are substantiated in numerous studies [10-12, 17, 21]; their results are systematized in [5,8,9,20]. An analysis of experimental and theoretical studies [13,17,21] shows that the thermomechanical behavior of inelastic bodies under harmonic loading is well described in terms of complex moduli [13,14,16,18].…”
mentioning
confidence: 99%
“…Self-heating models for linear and nonlinear viscoelastic bodies are substantiated in numerous studies [10-12, 17, 21]; their results are systematized in [5,8,9,20]. An analysis of experimental and theoretical studies [13,17,21] shows that the thermomechanical behavior of inelastic bodies under harmonic loading is well described in terms of complex moduli [13,14,16,18].…”
mentioning
confidence: 99%