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首页> 外文期刊>Journal of aerospace engineering >Approximation of Nonlinear Unloading Effects in the Strain Rate Dependent Deformation Analysis of Polymer Matrix Materials Utilizing a State Variable Approach
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Approximation of Nonlinear Unloading Effects in the Strain Rate Dependent Deformation Analysis of Polymer Matrix Materials Utilizing a State Variable Approach

机译：基于状态变量法的聚合物基材料应变率相关变形分析中非线性卸载效应的逼近

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摘要

An experimental and analytical program is carried out to explore key behaviors in the loading and unloading behavior of polymers. Specifically, the effects of strain rate and hydrostatic stresses on the nonlinear portions of the deformation response are examined. Tension, compression, and shear load only and load/unload tests are conducted on a representative polymer across a range of strain rates, and key features of the experimental results are identified. To conduct a preliminary exploration of how the key features of the deformation response could be simulated analytically, a previously developed set of constitutive equations, which were developed to analyze the strain rate dependent, nonlinear deformation of polymers including the effects of hydrostatic stresses, were modified in order to approximate key features of the nonlinear unloading behavior observed in the polymer. The constitutive relations are based on state variable constitutive equations originally developed for metals. The nonlinear unloading observed in the experiments is approximated by reducing the unloading modulus of the material as the effective inelastic strain is increased. The effects of the hydrostatic stress state on the unloading modulus are also simulated analytically. To examine the revised formulation, the loading and load/unload responses of the representative polymer in tension, compression, and shear are examined at several strain rates. Results computed using the developed constitutive equations were found to correlate reasonably well with the experimental data.
机译：进行了实验和分析程序，以探索聚合物加载和卸载行为中的关键行为。具体来说，研究了应变速率和静水应力对变形响应的非线性部分的影响。仅对具有代表性的聚合物在一定的应变速率范围内进行拉伸，压缩和剪切载荷以及载荷/卸载测试，并确定了实验结果的关键特征。为了初步探讨如何以解析方式模拟变形响应的关键特征，修改了先前开发的一组本构方程，以分析与应变率相关的聚合物非线性变形，包括静水压力的影响。为了近似于聚合物中观察到的非线性卸载行为的关键特征。本构关系基于最初为金属开发的状态变量本构方程。在实验中观察到的非线性卸载是通过随着有效非弹性应变的增加而减小材料的卸载模量来近似的。流体静应力状态对卸荷模量的影响也进行了分析模拟。为了检查修改后的配方，在几个应变速率下检查了代表性聚合物在拉伸，压缩和剪切下的加载和加载/卸载响应。发现使用发达的本构方程计算的结果与实验数据合理地相关。

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