本文根据Drucker-Prager屈服准则建立了适用于压敏材料的低阶应变梯度塑性(CMSG)理论.在此基础上,通过ABAQUS用户自定义材料子程序(UMAT)接口,建立了CMSG理论本构关系的有限元计算格式,结合该子程序对块状金属玻璃Zr55Cu30Al10Ni5的圆锥压痕响应进行了数值模拟,分析了不同压痕深度和压敏系数的影响.计算结果与实验数据吻合较好,表明该理论可以很好地描述金属玻璃Zr55Cu30Al10Ni5等一类材料的弹塑性行为.计算结果显示Zr55Cu30Al10Ni5的硬度随着压痕深度的增大而减小,由此说明基于Drucker-Prager屈服准则的CMSG理论可以很好地预测金属玻璃Zr55Cu30Al10Ni5在微尺度下表现出来的压敏尺寸效应.
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