一类新的超弹性-循环塑性本构模型

发布时间：2018-01-06 05:07

本文关键词：一类新的超弹性-循环塑性本构模型　出处：《力学学报》2016年03期 　论文类型：期刊论文

【摘要】：目前,很多经典的超弹性-有限塑性本构模型已被提出,但由于超弹性理论中中间构型的引入使得随动硬化法则相对复杂,故多数文献均采用的是经典的Armstrong--Frederick(A--F)随动硬化法则.本文基于已有的本构理论,利用多机制过程的概念拓展了Lion塑性变形分解理论,明确提出了多重中间构型的概念,并在此基础上,对经典理论中客观性的定义进行了概念上的推广,使其更好地适用于超弹性本构理论分析,同时提出了一类新的超弹性-有限塑性本构模型.这类本构模型满足热动力学法则,且可融合多种小变形循环塑性理论中常用的随动硬化法则(如经典的A--F模型,Chaboche模型,Ohno--Wang(O--W)模型以及Karim--Ohno(K--O)模型等),使得小变形理论中背应力的加法分解性质及其演化的临界面阶跃特性在大变形领域中均有所体现,故本文提出的本构理论可看作是小变形循环塑性模型在大变形理论中的扩展.本文最后以K--O模型为例,对推荐模型进行了详细探讨,并与相应的次弹性模型进行了对比.
[Abstract]:At present, many classical hyperelastic-finite plastic constitutive models have been proposed, but due to the introduction of the intermediate configuration in hyperelastic theory, the following hardening law is relatively complex. Therefore, the classical Armstrong-Frederick-A-F) following hardening rule is adopted in most literatures. This paper is based on the existing constitutive theory. The Lion plastic deformation decomposition theory is extended by using the concept of multi-mechanism process, and the concept of multi-multiple intermediate configuration is clearly put forward. On this basis, the definition of objectivity in classical theory is extended. The new superelastic-finite plastic constitutive model is proposed, which satisfies the thermodynamics rule. In addition, the following hardening rules, such as the classical A-F model and the Chaboche model, can be fused in many kinds of cyclic plastic theory of small deformation. Ohno-Wango-W) model and Karim-Ohno-K-Omodel). The addition decomposition property of back stress and the evolution of the step characteristic of interface in the theory of small deformation are all reflected in the field of large deformation. Therefore, the constitutive theory proposed in this paper can be regarded as the extension of the small deformation cyclic plastic model in the large deformation theory. Finally, the recommended model is discussed in detail by taking the K-O model as an example. The results are compared with the corresponding sub-elastic model.
【作者单位】：北京交通大学土木建筑工程学院;
【基金】：国家自然科学基金资助项目(51478033;51178029)
【分类号】：O344
【正文快照】： 引用格式:孟令凯,周长东,郭坤鹏,张晓阳.一类新的超弹性-循环塑性本构模型.力学学报,2016,48(3):660-674Meng Lingkai,Zhou Changdong,Guo Kunpeng,Zhang Xiaoyang.A new formulation of constitutive model for hyperelastic-cyclicplasticity.Chinese Journal of Theoretica

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