In this paper, a locally-defined stabilized adaptive explicit approach is considered to analyse generalized coupled thermo-mechanical models. In this sense, a modified central difference method is applied, which performs adapting itself along the solution process, considering the properties and results of the model, as well as the relations between the adopted temporal and spatial discretizations. The proposed technique enables stabilized decoupled analyses, allowing each “phase” of the coupled model to be handled separately, without considering stability restrictions for their time solutions, providing a very versatile and efficient methodology. In addition, the new approach is designed as a single-solve framework based on reduced systems of equations, which further greatly improves the efficiency of the technique. The new method enables adaptive algorithmic dissipation in the higher modes, and it is highly accurate, simple to implement and entirely automated, requiring no decision or expertise from the user. Numerical results are presented at the end of the manuscript, illustrating the performance and effectiveness of the new approach.

中文翻译：

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一种用于广义热机械模型解耦分析的高效自适应时间推进公式

在本文中，考虑使用局部定义的稳定自适应显式方法来分析广义耦合热机械模型。从这个意义上说，应用了一种改进的中心差分方法，该方法在求解过程中进行自适应，考虑模型的属性和结果，以及所采用的时间和空间离散化之间的关系。所提出的技术实现了稳定的解耦分析，允许单独处理耦合模型的每个“阶段”，而不考虑其时间解的稳定性限制，提供了一种非常通用和有效的方法。此外，新方法被设计为基于简化方程组的单求解框架，进一步大大提高了该技术的效率。新方法可在更高模式下实现自适应算法耗散，并且高度准确、易于实施且完全自动化，无需用户做出决定或专业知识。手稿末尾提供了数值结果，说明了新方法的性能和有效性。