A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible constitutive relationships and on the coupling of the numerous physical processes that are active. Phase changes are driven by temperature-dependent free-energy functions that become non-convex below a transition temperature. Higher-order spatial gradients are present in the model to account for phase boundary energy, and these terms necessitate the introduction of non-standard terms in the energy balance equation in order to satisfy the classical entropy inequality point-wise. To solve the resulting balance equations, a Galerkin finite element scheme is elaborated. To deal rigorously with the presence of high-order spatial derivatives associated with surface energies at phase boundaries in both the momentum and mass balance equations, some novel numerical approaches are used. Numerical examples are presented that consider boundary cooling of a domain at different rates, and these results demonstrate that the model can qualitatively reproduce the evolution of microstructural features that are observed in some alloys, especially steels. The proposed model opens a number of interesting possibilities for simulating and controlling microstructure pattern development under combinations of thermal and mechanical loading.
Temperature increases and thermoplastic microstructural evolution in adiabatic shear bands in a high-strength and high-toughness 10 wt.% Ni steel
A 10重量%镍-钢由于其高强度、优异的韧性和低的韧脆转变温度(DBTT)而被开发用于高压和低温应用。然而,在动态载荷条件下,这种钢容易发生剪切局部化,表现为绝热剪切带(ASB)。采用相关电子背散射衍射(EBSD)、透射电子显微镜(TEM)和原子探针层析成像(APT)从宏观尺度到原子尺度详细研究了ASB中的温度升高和热塑性微结构演变。从绝热条件下的温度增加的计算,基于塑性功到热生成的转换,讨论了ASB中的微观结构转变,具体为:(i)b.c.c.- F.C.C.相变和它们的元素分配;(ii)的热力学模型的组成变化的V(Nb)富碳氮化物沉淀物在温度升高;和(iii)晶粒细化和旋转的动态/机械再结晶过程。溶质偏析在亚晶界,测量使用Gibbsian界面过剩的方法,揭示了溶质偏析如何有助于局部剪切变形的不稳定性,通过促进溶质元素的脱钉和迁移的晶界。最后,ASB内晶粒细化/旋转的动力学模型通过动态再结晶行为来描述:(i)亚晶形成;(ii)通过变形进行旋转/细化;以及(iii)通过亚晶合并进行晶粒生长,并进一步旋转和温度升高。ASB动态变形下的温度升高促进晶界迁移和亚晶合并,以产生具有低缺陷密度的大程度的等轴晶粒。
Revealing the tribological stress field by using deformation twins as probes
Institute for Applied Materials (IAM), Karlsruhe Institute of Technology (KIT)(卡尔斯鲁厄理工学院应用材料研究所);IAM-ZM MicroTribology Center (µTC)(IAM-ZM微摩擦学中心);Continuum Mechanics, Institute of Engineering Mechanics (ITM), Karlsruhe Institute of Technology (KIT)(卡尔斯鲁厄理工学院工程力学系连续力学研究组)
Global Stress Generation and Spatiotemporal Super-Resolution Physics-Informed Operator under Dynamic Loading for Two-Phase Random Materials
School of Civil Engineering, Tongji University(同济大学土木工程学院);The State Key Laboratory on Disaster Reduction in Civil Engineering, Tongji University(同济大学土木工程防灾国家重点实验室)
Elucidating the impact of microstructure on mechanical properties of phase-segregated polyurea: Finite element modeling of molecular dynamics derived microstructures
Crystal forming ability of amorphous refractory metals under nanoindentation: a molecular dynamics study
Czech Technical University in Prague(布拉格捷克技术大学);Catalan Institute of Nanoscience and Nanotechnology (ICN2)(加泰罗尼亚纳米科学和技术研究所);University of Southampton(南安普顿大学)