Duan Xiaochang, Yuan Hongwei, Tang Wei, He Jingjing, Guan Xuefei
Graduate School of China Academy of Engineering Physics, 10 Xibeiwang E. Rd., Beijing 100193, China.
Institute of Chemical Materials, China Academy of Engineering Physics, 64 Mianshan Rd., Mianyang 621900, China.
Polymers (Basel). 2021 Apr 25;13(9):1393. doi: 10.3390/polym13091393.
This study develops a general temperature-dependent stress-strain constitutive model for polymer-bonded composite materials, allowing for the prediction of deformation behaviors under tension and compression in the testing temperature range. Laboratory testing of the material specimens in uniaxial tension and compression at multiple temperatures ranging from -40 ∘C to 75 ∘C is performed. The testing data reveal that the stress-strain response can be divided into two general regimes, namely, a short elastic part followed by the plastic part; therefore, the Ramberg-Osgood relationship is proposed to build the stress-strain constitutive model at a single temperature. By correlating the model parameters with the corresponding temperature using a response surface, a general temperature-dependent stress-strain constitutive model is established. The effectiveness and accuracy of the proposed model are validated using several independent sets of testing data and third-party data. The performance of the proposed model is compared with an existing reference model. The validation and comparison results show that the proposed model has a lower number of parameters and yields smaller relative errors. The proposed constitutive model is further implemented as a user material routine in a finite element package. A simple structural example using the developed user material is presented and its accuracy is verified.
本研究针对聚合物基复合材料建立了一个通用的随温度变化的应力-应变本构模型，可用于预测在测试温度范围内材料在拉伸和压缩时的变形行为。对材料试样在-40℃至75℃的多个温度下进行了单轴拉伸和压缩试验。试验数据表明，应力-应变响应可分为两个一般阶段，即一个短暂的弹性部分之后是塑性部分；因此，提出了兰伯格-奥斯古德关系来建立单一温度下的应力-应变本构模型。通过使用响应面将模型参数与相应温度相关联，建立了一个通用的随温度变化的应力-应变本构模型。使用几组独立的试验数据和第三方数据对所提模型的有效性和准确性进行了验证。将所提模型的性能与现有参考模型进行了比较。验证和比较结果表明，所提模型的参数数量更少，相对误差更小。所提本构模型进一步作为用户材料子程序在有限元软件包中实现。给出了一个使用所开发用户材料的简单结构示例，并验证了其准确性。
