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本文根据经典的纤维强度统计理论,并在某些假设的基础土,建立了纤维的应变率相关的统计本构模型及其对应的本构方程。由该模型得到了利用纤维束冲击拉伸试验确定单丝应变率相关的统计本构方程中力学参量的原理和方法。在应变率为10~(-4)～10~3 1/S 范围内,用玻璃纤维束的拉仲试验检验该模型和确定本构方程参量的方法。试验结果和分析表明,该模型的假设和有关理论是正确的,方法是可行的。该模型能较好地解释玻纤在应变率为10~(-4)～1.1×10~2 1/S 范围内的力学性能。
Based on the classical statistical theory of fiber strength, and based on some assumptions, a statistical constitutive model of fiber strain rate and its corresponding constitutive equation are established. The principle and method for determining the mechanical parameters in statistical constitutive equation to determine the strain rate of monofilament by the fiber bundle impact tensile test are obtained from the model. In the strain rate range of 10 ~ (-4) ~ 10 ~ 3 1 / S, the tensile test of glass fiber bundles was used to test the model and determine the constitutive equation. The test results and analysis show that the assumptions and related theories of the model are correct and the method is feasible. The model can well explain the mechanical properties of glass fiber in the strain rate of 10 ~ (-4) ~ 1.1 × 10 ~ 2 1 / S.