(1. 四川大學 建筑與環(huán)境學院，成都 610065；
2. 中國工程物理研究院 總體工程研究所，綿陽 621999)
摘 要: 為了準確描述鈦合金在高應(yīng)變率、高溫載荷下的熱粘塑性本構(gòu)行為，以及因材料內(nèi)部出現(xiàn)絕熱剪切帶而導致材料流變應(yīng)力減小的定量關(guān)系，構(gòu)造功熱轉(zhuǎn)換系數(shù)β與應(yīng)變率 之間的函數(shù)關(guān)系，提出一種基于修正Johnson-Cook模型的鈦合金熱粘塑性動態(tài)本構(gòu)關(guān)系，并通過以最小二乘法為目標函數(shù)的局部搜索優(yōu)化算法，對基于實驗數(shù)據(jù)的本構(gòu)參數(shù)進行快速優(yōu)化識別。最后利用應(yīng)力補償更新算法，通過顯式用戶子程序VUMAT將熱黏塑性本構(gòu)模型嵌入ABAQUS軟件中，得到Ti-6Al-4V鈦合金在不同應(yīng)變率、溫度條件下的單軸動態(tài)應(yīng)力-應(yīng)變曲線。數(shù)值模擬結(jié)果與實驗數(shù)據(jù)吻合良好，表明該修正模型能準確描述鈦合金高應(yīng)變率下的熱黏塑性變形，可適用于各種應(yīng)變率下鈦合金本構(gòu)行為的描述。
關(guān)鍵字: Ti-6Al-4V；熱黏塑性；修正Johnson-Cook模型；用戶子程序VUMAT
（1.College of Architecture and Environment, Sichuan University, Chengdu 610065, China;
2. Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, China）
Abstract:In order to accurately describe the thermo viscoplasticity constitutive behavior of titanium alloy under high strain rate and elevated temperature, a modified Johnson-Cook equation was proposed by constructing function of conversion coefficient about strain rate. And the quantitative relation between decreasing flow stress and adiabatic shear band appeared in the material was analyzed. All the constitutive parameters could be quickly identified by the local search optimization algorithm taking least squares method as the object function. By adopting a stress compensation updating algorithm, a subroutine VUAMT of the proposed constitutive model was programmed on plat of ABAQUS/Explicit. The finite element simulation of dynamic responses of Ti-6Al-4V titanium alloy under different strain rates and temperatures are obtained. The modified Johnson-Cook modal can accurately describe the thermo viscoplasticity dissipation due to good agreement between simulation results and experimental data. The subroutine VUAMT and applicability of constitutive description for titanium alloy under various strain rates were verified.
Key words: Ti-6Al-4V; thermo viscoplasticity; modified Johnson-Cook modal; subroutine VUAMT
