Abstract The temperature-dependent visco-hyperelastic-viscoplastic behavior of poly(vinylidene fluoride) is investigated and modeled. The proposed mathematical formulation of the visco-hyperelastic element is constructed using a generalized Maxwell model consisting of non-linear springs and viscous dampers in series with a viscoplastic element. The Yamashita and Kawabata strain energy function is considered for modeling the hyperelastic response of the non-linear springs’ elements. The viscoelastic response is represented by the Prony series invoking the time-temperature correspondence principle and employing the Arrhenius equation to define the shift factors. The viscoplastic flow rate is defined by a phenomenological model activated when the Frobenius norm of the deviatoric portion of the Cauchy stress exceeds the material yield stress. The material parameters are calibrated from stress relaxation and monotonic tensile tests performed at different temperatures. Model predictions showed good agreement with the experimental results.

中文翻译：

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聚偏二氟乙烯的温度-时间大应变力学模型

摘要 研究并模拟了聚偏二氟乙烯的随温度变化的粘-超弹-粘塑性行为。粘超弹性元件的拟议数学公式是使用广义麦克斯韦模型构建的，该模型由与粘塑性元件串联的非线性弹簧和粘性阻尼器组成。Yamashita 和 Kawabata 应变能函数被考虑用于模拟非线性弹簧元件的超弹性响应。粘弹性响应由 Prony 级数表示，它调用了时间-温度对应原理，并使用 Arrhenius 方程来定义位移因子。粘塑性流速由当柯西应力的偏部分的 Frobenius 范数超过材料屈服应力时激活的现象学模型定义。材料参数通过在不同温度下进行的应力松弛和单调拉伸试验进行校准。模型预测与实验结果吻合良好。