1960
DOI: 10.1143/jpsj.15.2280
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Theory of Non-linear Responses

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1964
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Cited by 101 publications
(19 citation statements)
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“…Thus from Figure 6 it was concluded that the retarded elastic strain as a function of time could be described by means of conventional viscoelastic theory assuming either a finite or infinite number of Voigt elements while the combination elastic strain being a nonlinear function of stress indicated the need for the use of nonlinear viscoelastic theory as developed first by Leaderman[9l and later more generally by Nakada [10]. Therefore, the values for A(t) and B2(t) were determined by fitting curves to the data by the method of least squares and were tabulated as a function of time as shown in Agg is the asymptote value of A(t) as t becomes very large.…”
Section: Resultsmentioning
confidence: 97%
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“…Thus from Figure 6 it was concluded that the retarded elastic strain as a function of time could be described by means of conventional viscoelastic theory assuming either a finite or infinite number of Voigt elements while the combination elastic strain being a nonlinear function of stress indicated the need for the use of nonlinear viscoelastic theory as developed first by Leaderman[9l and later more generally by Nakada [10]. Therefore, the values for A(t) and B2(t) were determined by fitting curves to the data by the method of least squares and were tabulated as a function of time as shown in Agg is the asymptote value of A(t) as t becomes very large.…”
Section: Resultsmentioning
confidence: 97%
“…When the asymptote value of B(t) minus B(t) is plotted against time it decreases in a complicated exponentlal-llke form as shown in Figure 13. Thus using the nonlinear theory of Nakada [10] it is concluded that the experimental B(t) for amalgam could be described by the following equation: 00 O which would Indeed describe the behavior of the curves seen in Figure 12 and Figure 13. It is therefore concluded that the combination elastic behavior of dental amalgam in creep under the test conditions used can be described by means of the following equation from viscoelastic theory [10,15]: Applying the nonlinear generalization of the Boltzmann superposition principle as developed by Nakada [10], to the above creep equation for amalgam, the stress-strain curves for various stress rate conditions were calculated for amalgam from the creep data and compared to the experimental stress-strain curves obtained under those conditions.…”
Section: Resultsmentioning
confidence: 99%
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