Abstract A finite-strain phase-field model is developed for the analysis of multivariant martensitic transformation during nano-indentation. Variational formulation of the complete evolution problem is developed within the incremental energy minimization framework. Computer implementation is performed based on the finite-element method which allows a natural treatment of the finite-strain formulation and of the contact interactions. A detailed computational study of nano-indentation reveals several interesting effects including the pop-in effect associated with nucleation of martensite and the energy-lowering breakdown of the symmetry of microstructure. The effect of the indenter radius is also examined revealing significant size effects governed by the interfacial energy.

中文翻译：

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纳米压痕中多元马氏体微观结构和尺寸效应的相场建模

摘要 建立了有限应变相场模型，用于分析纳米压痕过程中的多变量马氏体转变。完全进化问题的变分公式是在增量能量最小化框架内开发的。计算机实现是基于有限元方法进行的，该方法允许对有限应变公式和接触相互作用进行自然处理。纳米压痕的详细计算研究揭示了几个有趣的效应，包括与马氏体成核相关的弹出效应和微观结构对称性的能量降低破坏。还检查了压头半径的影响，揭示了受界面能支配的显着尺寸效应。