In this two-part paper, a stable and efficient nodally-integrated reproducing kernel particle method (RKPM) approach for solving the governing equations of generalized thermomechanical theories is developed. Part I investigated quadrature in the weak form using classical thermoelasticity as a model problem, and a stabilized and corrected nodal integration was proposed. In this sequel, these methods are developed for generalized thermoelasticity and generalized finite-strain plasticity theories of the hyperbolic type, which are more amenable to explicit time integration than the classical theories. Generalized thermomechanical models yield finite propagation of temperature, with a so-called second sound speed. Since this speed is not well characterized for common engineering materials and environments, equating the elastic wave speed with the second sound speed is investigated to obtain results close to classical thermoelasticity, which also yields a uniform critical time step. Implementation of the proposed nodally integrated RKPM for explicit analysis of finite-strain thermoplasticity is also described in detail. Several benchmark problems are solved to demonstrate the effectiveness of the proposed approach for thermomechanical analysis.

在这篇由两部分组成的论文中，开发了一种稳定有效的节点积分再生核粒子方法 (RKPM)，用于求解广义热力学理论的控制方程。第一部分使用经典热弹性作为模型问题研究了弱形式的正交，并提出了稳定和校正的节点积分。在此续集中，这些方法是为双曲线类型的广义热弹性和广义有限应变塑性理论而开发的，它们比经典理论更适合显式时间积分。广义热机械模型产生有限的温度传播，具有所谓的第二声速。由于这种速度对于常见的工程材料和环境没有很好的表征，研究将弹性波速度与第二声速相等以获得接近经典热弹性的结果，这也产生了统一的临界时间步长。还详细描述了用于显式分析有限应变热塑性的建议节点集成 RKPM 的实现。解决了几个基准问题，以证明所提出的热机械分析方法的有效性。