非局部化弹塑性理论及其应用

 基于非局部弹塑性理论，在经典的弹塑性本构模型中引入材料内部特征长度，并考虑材料内部特征长度与塑性化程度的关系，在整个模型空间各质点形成可变的微小表征体积单元。进而在可变的微小表征体积单元内对塑性乘子进行空间非局部化平均，间接考虑材料内部微结构的变化及相互作用，建立可变特征长度非局部弹塑性模型。最后，将提出的非局部弹塑性模型通过有限元理论应用到压缩平板端部摩擦效应的模拟中。模拟结果表明：非局部弹塑性模型较经典弹塑性模型计算效率更高，计算结果更合理。

NONLOCAL ELASTOPLASTIC THEORY AND ITS APPLICATION

Based on the nonlocal elastoplastic theory，with the introduction of material characteristic length into classic elastoplastic model，considering the relation between material characteristic length and plastifying level，the variable minute representative volumtric elements are formed in the whole model. Then the nonlocal average is conducted for plastic multiplier in the variable minute representative volumetric elements. The evolution and interactions of microstructures in material are considered indirectly；and a nonlocal elastoplastic model is set up. Through the finite element theory，the nonlocal elastoplastic model is applied to the simulation of end friction effect of a compression plane plate. The result shows that，with the nonlocal elastoplastic model，higher computation efficiency and more rational results can be obtained.