The rate- and temperature-dependent “macromolecular” polymer plasticity relies on a thermally-activated model of the non-linear strain measure, and is thus deficient in an explicit definition of the yield surface. Such an approach, typically written in the rate-form, is only suitable for the explicit finite element solver where the consistent tangent modulus and the return mapping process are unnecessary. This paper presents a procedure to deduce the pressure-dependent yield function of the rate- and thermal-based plastic constitutive models in the continuum thermodynamics. The recasted yield model aids in deriving its consistent elasto-thermoviscoplastic tangent modulus and implementing it in the implicit finite element solver. The recasted expressions are suitable for incremental formulation using the classical radial return mapping algorithm, regardless of the complexities of the original macromolecular expression. Four viscoplastic macromolecular models are used to illustrate the recasting process: three of them are based on the classical Boyce-Parks-Argon model and one on the Bergström-Boyce model. Numerical simulations are performed on real-sized specimen geometries to establish the functionality and capabilities of the methodology. The practical advantage of the implicit-oriented forms is studied in comparison to the explicit-based implementation under quasi-static and isothermal conditions.

速率和温度相关的“大分子”聚合物塑性依赖于非线性应变测量的热激活模型，因此缺乏屈服面的明确定义。这种通常以速率形式编写的方法仅适用于不需要一致切线模量和返回映射过程的显式有限元求解器。本文提出了一个程序来推导连续热力学中基于速率和热的塑料本构模型的压力依赖屈服函数。重铸的屈服模型有助于推导其一致的弹性-热粘塑性切线模量，并在隐式有限元求解器中实现它。重铸的表达式适用于使用经典径向返回映射算法的增量公式，无论原始大分子表达的复杂性如何。四个粘塑性大分子模型用于说明重铸过程：其中三个基于经典的 Boyce-Parks-Argon 模型，一个基于 Bergström-Boyce 模型。对真实尺寸的试样几何形状进行数值模拟，以确定该方法的功能和能力。在准静态和等温条件下，与基于显式的实现相比，研究了隐式面向形式的实际优势。对真实尺寸的试样几何形状进行数值模拟，以确定该方法的功能和能力。在准静态和等温条件下，与基于显式的实现相比，研究了隐式面向形式的实际优势。对真实尺寸的试样几何形状进行数值模拟，以确定该方法的功能和能力。在准静态和等温条件下，与基于显式的实现相比，研究了隐式面向形式的实际优势。