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首页> 外文期刊>Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods >Explicit integration scheme for a non-isothermal elastoplastic model with convex and nonconvex subloading surfaces
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Explicit integration scheme for a non-isothermal elastoplastic model with convex and nonconvex subloading surfaces

机译：具有凸和非凸分载面的非等温弹塑性模型的显式积分方案

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摘要

An adaptive substepping explicit integration scheme with a novel loading-unloading decision method is developed here for the non-isothermal unified hardening (UH) model. The non-isothermal UH model includes a convex subloading surface in the p-q plane and a nonconvex subloading surface in the p-T plane. Because of the convexonconvex subloading surfaces, the conventional loading-unloading decision method used in stress integration schemes may lead to incorrect elasticity/elastoplasticity judgements. In addition, the conventional loading-unloading decision method is unable to determine the division point that separates the elastic segment from the elastoplastic segment. A simple but robust method, the double cosine (DC) method, is proposed in this paper to solve loading-unloading decision problems. The proposed DC method is then embedded into an adaptive substepping explicit integration scheme to implement the non-isothermal UH model. The accuracy and efficiency of the DC method are discussed by comparing the method with the conventional loading-unloading decision method (the CV method) and the root-finding loading-unloading decision method (the RF method). The performance of the proposed scheme with the DC method is also discussed.
机译：针对非等温统一硬化（UH）模型，本文提出了一种具有新型装卸决策方法的自适应分步显式集成方案。非等温UH模型在p-q平面中包含凸子加载表面，而在p-T平面中包含非凸子加载表面。由于凸/非凸子加载表面，应力积分方案中使用的常规加载/卸载决策方法可能会导致错误的弹性/弹塑性判断。此外，传统的装卸决策方法无法确定将弹性段与弹塑性段分开的分割点。为了解决装卸决策问题，本文提出了一种简单而健壮的方法，即双余弦（DC）方法。然后将提出的DC方法嵌入到自适应分步显式积分方案中，以实现非等温UH模型。通过与传统的装卸决策方法（CV方法）和寻根装卸决策方法（RF方法）进行比较，讨论了DC方法的准确性和效率。还讨论了采用DC方法的拟议方案的性能。

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