不同组织TA15钛合金等温拉伸微裂纹扩展规律的有限元建模研究

钛合金高温变形过程往往伴随微裂纹的产生与扩展,且其与微观组织形态密切相关,显著影响了钛合金的成形质量和成形极限。为此,利用金相照片建立了基于TA15钛合金真实组织的二维多晶体微观有限元模型,采用微裂纹扩展时间,定量研究了不同组织形态的TA15钛合金等温拉伸过程中的沿晶微裂纹形成与扩展规律。结果表明:微裂纹优先形成于三角或四角晶界处,更容易沿α-β相界扩展;等轴组织随着α相体积分数升高,微裂纹更易产生和扩展;网篮组织与魏氏组织中微裂纹易于沿与加载轴垂直取向的片层α相界面扩展,魏氏组织晶界α相为微裂纹扩展提供了路径;三态组织中微裂纹易于沿片层α相界面扩展,但是等轴α相与片层α相的交织使界面形貌复杂,阻碍微裂纹扩展。相同加载条件下,微裂纹扩展的难易顺序为:三态组织、网篮组织、魏氏组织、等轴组织。

Adiabatic Terminator for Fermionic Hierarchical Equations of Motion

The hierarchical equation of motion method has become one of the most popular numerical methods for describing the dissipative dynamics of open quantum systems linearly coupled to environment.However,its applications to systems with strong electron correlation are largely restrained by the computational cost,which is mainly caused by the high truncation tier L required to accurately characterize the strong correlation effect.In this work,we develop an adiabatic terminator by decoupling the principal dissipation mode with the fastest dissipation rate from the slower ones.The adiabatic terminator leads to substantially enhanced convergence with respect to L as demonstrated by the numerical tests carried out on a single impurity Anderson model.Moreover,the adiabatic terminator alleviates the numerical instability problems in the long-time dissipative dynamics.