高体积含量颗粒增强复合材料的一个细观力学模型Ⅱ: 弹塑性与损伤分析
MICROMECHANICAL MODEL FOR COMPOSITES REINFORCED BY LARGE VOLOMEFRACTION OF PARTICLES Ⅱ: ELASTOPLASTIC AND DAMAGE ANALYSIS
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摘要: 在高体积含量颗粒增强复合材料细观弹性分析的基础上, 引入了细观塑性和细观损伤模型: 基体用服从Von Mises 屈服准则的理想弹塑性材料模拟, 用沿圆柱形基体轴线方向的平均应力(即对称面上的应力) 来判断基体的屈服, 并将基体的塑性部分简化为圆柱状轴对称区域。建立了基体和颗粒/ 基体界面统一的损伤准则, 该准则同时考虑了最大应变和三轴应力的影响, 通过对细观塑性和细观损伤在空间取向上的平均, 建立了材料宏观模量的折减法则。用该细观力学模型, 数值模拟了一种实际金属基复合材料的强度实验, 理论模型与实验结果吻合。Abstract: Based on the micro-mechanical model , micro elastic-plastic and micro damage analyses are further carried out . The mat rix is assumed to be Von Mises elastic-perfect-plastic material. The average st ress over the entirelength of the mat rix cylinder is used to predict the yield of the mat rix material. The plastic zone is simplified to expand axi-symmet rically under plastic loading1 A unified damage criterion is proposed for both mat rix damage andparticle/ mat rix interface failure , considering the short length of the mat rix cylinder in the micro model for composites with high volume f ractions of particles1 The effect s of principal st rain and t ri-axial st ress state are also considered in the damage criterion. A decreased macro modulus is obtained by averaging spatial dist ributions of microyielding and damage. Uniaxial tensile and compressive behaviors of a particle reinforced metal mat rix composite aresimulated by using the proposed method1 The simulations are in good agreement with experimental data.