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结合虚位移原理和宏细观统一本构模型的基本理论提出了一种宏细观统一本构模型.该模型将宏观位移表示为宏观应变与细观位移的线性组合,然后应用虚位移原理建立基本方程,采用有限元法进行求解,得到宏观应变增量和应力增量的关系式.通过算例分析对比了模型与FVDAM(finite volume directe aver-age method)的应力场和计算效率,结果表明模型不仅具有较高的精度而且提高了计算效率.采用模型预测了复合材料的偏轴弹性模量和弹塑性应力应变响应.其中偏轴弹性模量与转轴公式计算结果相符,而弹塑性应力应变响应与实验结果吻合.
Based on the basic theory of the virtual displacement principle and the macro-unified unified constitutive model, a macro-unified unified constitutive model is proposed. The macro-displacement is expressed as a linear combination of macro-strain and micro-displacement. Then, The equations are solved by the finite element method, and the relationship between the macroscopic strain increment and the stress increment is obtained.The stress field and the computational efficiency of the model and the FVDAM (finite volume direct current method) are compared by example analysis. The results show that the model Which not only has higher accuracy but also improves the computational efficiency.The model is used to predict the off-axis elastic modulus and the elastic-plastic stress-strain response of the composites.The eccentricity elastic modulus is consistent with the calculated results of the shaft formula, while the elastic-plastic stress-strain response And the experimental results match.