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基于变分渐近法建立具有周期性微结构的金属基复合材料(MMCs)细观力学模型及相应的增量方程,以准确预测其典型的热弹塑性行为和初始屈服面。利用细、宏观尺度比很小的特点,对单胞变分能量泛函变化进行渐近扩展,计算得到有效瞬时弹塑性刚度矩阵和热应力矩阵;利用迭代均质化及局域化技术模拟MMCs的非线性热弹塑性性能,并通过有限元技术实现相应的数值模型。算例分析表明:该模型能较好地预测MMCs的初始屈服面,并模拟热弹塑性耦合行为,研究成果为MMCs的进一步研究和实际应用提供了技术支撑。
Based on the variational asymptotic method, the mesomechanical models and the incremental equations of MMCs with periodic microstructures were established to accurately predict their typical thermo-elasto-plastic behavior and initial yield surface. The elastic transient elastic-plastic stiffness matrix and thermal stress matrix were calculated by the asymptotic expansion of the energy-functional changes of the single-cell variational energy with the help of the characteristics of fine and macroscopic dimensions. The iterative homogenization and localization techniques were used to simulate the MMCs The nonlinear thermo-elasto-plastic properties are obtained and the corresponding numerical model is realized by finite element method. The case study shows that this model can predict the initial yield surface of MMCs well and simulate thermo-elasto-plastic coupling behavior. The research results provide technical support for further research and practical application of MMCs.