纤维应变率相关的统计本构模型的理论与实验研究
THEORY OF THE STATISTICAL CONSTITUTIVE MODEL OF STRAIN RATE DEPENDANCE OF THE FIBER AND ITS EXPERIMENTAL STUDY
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摘要: 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10-4～103 l/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10-4～1.1×102 l/S范围内的力学性能.Abstract: According to the classical fiber's statistical strength and some hypotheses,the statistical constitutive models of the rate-sensitive fiber and fiber bundle are set up,and the corresponding constitutive equations are deduced.The method to determine the mechanical parameters in the constitutive equations of the rate-sensitive fiber by the tensile impact test of the fiber bundle are proposed from such models.The tensile experiments of the E-glass fiber bundles are performed under the strain race of 10-4-108 l/s in order to examine the validity of the test models and its test method. The test results and its analysis show that the hypotheses of the models are correct an d the test method is practical. Such models explain successfully the mechanical behaviors of fiber under the strain rate of 10-4 1.1×108 l/s.
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Keywords:
- fiber /
- strain-rate dependence /
- statstlcal constitutive model /
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