块状金属玻璃Zr_(55)Cu_(30)Al_(10)Ni_5的微压痕尺寸效应  

Micro-indentation Size Effect of a Zr_(55)Cu_(30)Al_(10)Ni_5 Bulk Metallic Glass

作　　者：郝毅[1] 冯露[1] 王静[1] 刘美华[2] 陈振飞[1] 赵阳 

机构地区：[1]天津大学机械学院力学系,天津300072 [2]天津商业大学机械工程学院力学系,天津300134

出　　处：《材料科学与工程学报》2014年第1期74-78,共5页Journal of Materials Science and Engineering

基　　金：国家自然科学基金资助项目(11272231;11072169)

摘　　要：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。According to the Drucker-Prager yield criterion,a conventional theory of mechanism-based strain gradient plasticity(CMSG)was presented for pressure-sensitive materials.On the basis of the theory,the finite element calculation format of the constitutive relation of the CMSG theory was supplemented into ABAQUS using the user-defined material(UMAT)subroutine interface.According to the UMAT subroutine,the conical indentation response of the metallic glass Zr55 Cu30 Al10 Ni5 was simulated considering different depths and pressure-sensitive factors.The numerical results almost coincided with the experimental data,indicating that the CMSG theory can accurately describe the elastic-plastic behavior of the material such as the metallic glass Zr55 Cu30 Al10 Ni5.The results presented show that the hardness of Zr55 Cu30 Al10 Ni5 increases with decreasing indentation depth.It further shows that the CMSG theory based on the Drucker-Prager yield criteria can predict the pressure sensitive size effect of the metallic glass Zr55 Cu30 Al10 Ni5 in micro scale.

关 键 词：CMSG理论 Drucker-Prager屈服准则 压敏尺寸效应 圆锥压痕 UMAT 

分 类 号：TG139.8[一般工业技术—材料科学与工程]