The properties of rubber in pure homogeneous strain
D F Jones; L R G Treloar; D F Jones; Univ. of Manchester Inst. of Sci. & Technol., Manchester, UK; L R G Treloar; Univ. of Manchester Inst. of Sci. & Technol., Manchester, UK
Журнал:
Journal of Physics D: Applied Physics
Дата:
1975-08-01
Аннотация:
Measurements are reported on the relationship between the principal stresses t<sub>1</sub> and t<sub>2</sub> and the corresponding extension ratios lambda <sub>1</sub> and lambda <sub>2</sub> in the general biaxial strain of a rubber sheet. The resulting data are shown to be consistent with the Valanis-Landel hypothesis, according to which the strain energy W is a separable function w( lambda ) of the principal extension ratios. The formulation of the series for lambda (dw/d lambda ) in terms of strain invariants I<sub>1</sub> and I<sub>2</sub> enables delta W/ delta I<sub>1</sub> and delta W/ delta I<sub>2</sub> to be accurately calculated for any values of I<sub>1</sub> and I<sub>2</sub>. It is concluded that both delta W/ delta I<sub>1</sub> and delta W/ delta I<sub>2</sub> are functions of both I<sub>1</sub> and I<sub>2</sub>. The results confirm the conclusions of earlier workers that the empirical Mooney constants derived from uniaxial extension or compression bear no direct relation to the values of delta W/ delta I<sub>1</sub> and delta W/ delta I<sub>2</sub>.
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