In this paper, a stabilized, locally defined, explicit approach is considered to analyse coupled thermo-mechanical models. In this sense, modified central and forward difference methods are adaptively applied following the features of the discretized model; thus, a connected formulation between the adopted temporal and spatial solution procedures takes place. 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 formulation is designed as a single-solve framework based on reduced systems of equations, which further greatly improves the efficiency of the method. The new technique is 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 procedure.

在本文中，考虑使用稳定的，局部定义的显式方法来分析耦合的热力模型。从这个意义上说，根据离散化模型的特征，自适应地应用了改进的中心差分和正向差分法；因此，在所采用的时间和空间求解过程之间会产生联系。所提出的技术可以实现稳定的去耦分析，允许分别处理耦合模型的每个“阶段”，而无需考虑其时间解决方案的稳定性限制，从而提供了一种非常通用且有效的方法。此外，新的配方被设计为基于简化方程组的单一解决方案框架，从而进一步大大提高了方法的效率。新技术是准确的 易于实施且完全自动化，无需用户做出任何决定或专业知识。数值结果显示在手稿的末尾，说明了新程序的性能和有效性。