NiTi合金的相變-塑性統(tǒng)一本構(gòu)模型與數(shù)值算法

NiTi合金的相變-塑性統(tǒng)一本構(gòu)模型與數(shù)值算法Unified Constitutive Model and Numerical Implementation of NiTi Alloy Involving Phase Transformation and Plasticity

為了準(zhǔn)確描述NiTi形狀記憶合金的相變與塑性力學(xué)行為，基于不可逆熱力學(xué)理論框架并假定兩個(gè)內(nèi)變量分別表征合金變形過程中的相變與塑性行為，推導(dǎo)出其相變、塑性的主控方程，總結(jié)兩階段的主控方程，構(gòu)建出NiTi合金動(dòng)態(tài)加載過程中的相變-塑性統(tǒng)一本構(gòu)模型。采用半隱式應(yīng)力積分算法對非彈性應(yīng)變增量進(jìn)行更新，通過FORTRAN語言將所提出的宏觀唯象本構(gòu)模型進(jìn)行了數(shù)值程序?qū)崿F(xiàn)。對比模擬與實(shí)驗(yàn)結(jié)果驗(yàn)證了該本構(gòu)模型的合理性，發(fā)現(xiàn)該模型能夠準(zhǔn)確描述NiTi合金隨著載荷增加而出現(xiàn)的母相彈性、馬氏體相變、馬氏體彈性與馬氏體塑性流動(dòng)等不同變形階段，對于不同應(yīng)變率動(dòng)態(tài)加載下的應(yīng)力-應(yīng)變行為該模型也可較理想地描述。

In order to actually describe the mechanical behavior of phase transformation and plasticity for NiTi shape memory alloy (SMA), the master equations which based on irreversible thermodynamics theory was derived by assuming two internal variables to characterize phase transformation evolution and plastic evolution. Thus a unified constitutive model was developed by summarizing master equations of phase transformation and plasticity in the loading process of NiTi alloy. Adopting semi-implicit stress integration algorithm to update inelastic strain increment, the phenomenological-based constitutive model was numerically implemented with FORTRAN code. The numerical simulation results were in good agreement with experimental data so that the proposed model validation was conducted. The results show that the proposed model not only can describe well the different deformation stages of NiTi alloy, but also the constitutive behaviors subjected to different strain rates. And it provides the basis for the practical application of NiTi alloy in the condition of impact and high speed cutting.

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