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本文考虑了固体材料内以拉压和滑移方式消耗变形功的两种主要物理机制,提出了用纤维构元与滑移构元共同组集的弹塑性材料模型.两种构元都是单自由度变形体,其力学性质及塑性变形中的耦合硬化系数可由传统的材料力学实验确定.各种取向的构元在三维空间中均匀分布,并与宏观应变协调变形.从模型结构的力学响应导出了全量型和增量型本构方程,不必预先设定加载函数(塑性势函数).构元经历的变形历史与其取向有关,作为组合效应的应力应变关系能反映加载路径的影响.因此,本文得到的本构方程既保持了简洁的数学形式,又能模拟复杂加载条件下材料的宏观弹塑性力学行为. 本文预测了几种多晶金属材料在典型复杂加载路径下的应力应变响应与后继屈服面,与实验结果吻合良好.
In this paper, we consider two main physical mechanisms for the work of deforming work under tension and compression and slippage in solid materials, and put forward the elastic-plastic material model which is composed of fiber elements and slip elements together. Both elements are single The degree of freedom deformation of the body, its mechanical properties and plastic deformation of the coupling hardening coefficient can be determined by the traditional material mechanics experiments.All kinds of orientation of the elements uniformly distributed in three-dimensional space, and the macro-strain coordinated deformation.From the model structure of the mechanical response The full and incremental constitutive equations are derived without the need to pre-set the loading function (plastic potential function) .The deformation histories experienced by the elements are related to their orientation, and the stress-strain relationship as a combined effect can reflect the influence of the loading path. Therefore, The constitutive equation obtained in this paper not only maintains a simple mathematical form but also simulates the macro-elastoplastic behavior of the material under complex loading conditions.This paper predicts the stress-strain response and the succession of several polycrystalline metallic materials under typical complex loading paths Yield surface, in good agreement with the experimental results.