| 非定常微分型黏弹性本构模型 |
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| 引用本文： | 康永刚,张秀娥.非定常微分型黏弹性本构模型[J].力学学报,2012,44(2):456-459. |
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| 作者姓名： | 康永刚 张秀娥 |
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| 作者单位： | 防灾科技学院, 河北三河 065201 |
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| 基金项目： | 防灾科技学院防灾减灾青年科技基金资助项目 |
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| 摘 要： | 在应力作用下, 材料的力学参数随着微观结构的变化而变化, 需要考虑参数的时间效应. 利用黏滞系数随时间变化的黏性元件, 构造出非定常Maxwell模型、非定常Kelvin模型和非定常Zener模型. 求解非定常模型的微分型本构方程得到它们的松弛模量、蠕变柔量和卸载方程. 结果表明, 可以把常见的经验松弛函数和经验蠕变函数视为非定常微分型本构模型.
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| 关 键 词： | 非定常微分型模型 经验模型 应力松弛 蠕变 |
| 收稿时间： | 2011-08-15 |
| 修稿时间： | 2011-09-10 |
THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY |
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| Kang Yonggang,Zhang Xiu'e.THE NON-STATIONARY DIFFERENTIAL CONSTITUTIVE MODELS OF VISCOELASTICITY[J].chinese journal of theoretical and applied mechanics,2012,44(2):456-459. |
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| Authors: | Kang Yonggang Zhang Xiu'e |
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| Institution: | Institute of Disaster-Prevention Science and Technology, Sanhe, Hebei 065201, China |
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| Abstract: | Based on non-stationary viscous components,the non-stationary Maxwell model,the non-stationary Kelvin model and the non-stationary Zener model were developed.Their relaxation moduli,creep compliances and unloading functions were obtained by resolving the non-stationary constitutive relation.The results show that many empirical functions,such as power law relaxation,stretched exponential relaxation,logarithmic creep,can be seen as non-stationary model.The corresponding relaxation modulus and unloading functions of empirical creep functions,the corresponding creep compUance and unloading functions of empirical relaxation function were obtained by resolving the non-stationary constitutive relation. |
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| Keywords: | non-stationary differentlal model empirical model stress relaxation creep |
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