中文摘要：

采用自主研发的便携式压入设备,对材料平滑表面进行单调压入试验获得载荷—深度曲线,进而获得材料的单轴应力应变关系曲线。在等向强化、各向同性、单调加载条件下,基于能量原理和有限元分析提出应用双锥无卸载的压入载荷—深度曲线预测具有Hollomon律的材料应力应变关系半解析新公式。在有限元验证方面,根据不同材料的Hollomon律应力应变作为有限元本构关系条件获得的载荷—深度分析结果与压入载荷—深度关系吻合较好。在试验方面,通过压入载荷—深度曲线得到加载曲率,然后利用半解析新公式得到的材料单轴应力应变关系与单轴拉伸试验结果进行比较,结果表明新方法获取的材料应力应变关系和单轴拉伸试验结果有较好的一致性。

英文摘要：

A self-developed portable indentation device is to conduct monotonic indentation test on the smooth surfaces of materials to obtain load-displacement curves and then uniaxial stressstrain curves. Under hardening, isotropic and monotonic loading conditions, a semi-analytical formulawith Hollomon＇s law by which the stress-strain relation of materials is predicted through the dipyramidal offload indentation load-depth curve is proposed according to the effective energy theory and finite element analysis（FEA）. In FEA verification,the analytical load-depth results are gained by using the Hollomon＇s law of different materials as the constitutive relation of the finite element. In test,loading curvature is acquired from the indentation load-depth curve,and by comparison it is observed that the uniaxial stress-strain relation obtained through the new formula is identical with the results of the uniaxial tension experiment.