MULTILEVEL MODEL FOR DESCRIBING MARTENSITIC TRANSFORMATION: FORMATION OF THE POLYHEDRAL MARTENSITE STRUCTURE

Andrey N. Podsedertsev, Nikita S. Kondratev, Peter V. Trusov, Elena S. Makarevich

Author details

Andrey N. Podsedertsev
Perm National Research Polytechnic University, Perm, Russian Federation
Nikita S. Kondratev
Perm National Research Polytechnic University, Perm, Russian Federation
Peter V. Trusov
Perm National Research Polytechnic University, Perm, Russian Federation
Elena S. Makarevich
Perm National Research Polytechnic University, Perm, Russian Federation

https://doi.org/10.15593/perm.mech/2024.2.09

Multilevel models of inelastic deformation that take into account microstructure evolution are promising for technology development for creating functional material structures with optimal performance characteristics. The paper discusses the mathematical formulation of a direct multilevel model to describe the inelastic deformation of a polycrystal representative volume (analogous to a macrosample), taking into account the formation and the martensitic structure evolution during the transformation process. The model considers three structural-scale levels. At the macro level, the boundary value problem is solved, the fields of stresses, strains and other model variables are determined. At mesolevel-I, a homogeneous original austenite grain is considered, in which a martensitic transition occurs due to external influences. For a detailed description of the material response at the grain level, an auxiliary scale level is introduced into consideration, i.e. mesolevel-II. At this level, the geometric features of the martensite packet formation are explicitly studied. An original method has been developed to describe martensite polyhedral structure, the construction of which is carried out when the new phase volume fraction in the austenite grain reaches a critical value. A packet description as union of polyhedra consisting of thin plates allows one to introduce the geometric characteristics of the structural elements into the model, in particular, plates and packet boundaries, linear dimensions, volumes etc., and supplement them with crystallographic orientations. The resulting geometric characteristics of martensite package with subsequent processing is transferred to an individual grain level. This makes it possible to take into account the mechanisms of deformation and hardening that occur during the interaction of phases. The results are presented of polyhedral martensite packet structure formations in AISI 304 steel in numerical experiments on uniaxial deformation at room temperature and strain rate 10-5s-1.

Keywords

martensitic transformationmultilevel physically oriented modelsinelastic deformationmicrostructure evolutionpacket martensitephase transformation criterion.

МНОГОУРОВНЕВАЯ МОДЕЛЬ ОПИСАНИЯ МАРТЕНСИТНОГО ПРЕВРАЩЕНИЯ: ФОРМИРОВАНИЕ ПОЛИЭДРИЧЕСКОЙ СТРУКТУРЫ МАРТЕНСИТА

Многоуровневые модели неупругого деформирования, учитывающие эволюцию микроструктуры, являются перспективными для разработки технологий создания функциональных материалов-конструкций, имеющих оптимальные эксплуатационные характеристики. В работе обсуждается математическая формулировка примой многоуровневой модели для описания неупругого деформирования представительного объема поликристалла (аналога макрообразца) с учетом формирования и эволюции мартенситной структуры в процессе превращения. В модель включено рассмотрение трех структурно-масштабных уровней. На макроуровне решается краевая задача, определяются поля напряжений, деформаций и других переменных модели. На мезоуровне-I рассматривается однородное зерно исходного аустенита, в котором за счет внешних воздействий происходит мартенситный переход. Для детализированного описания отклика материала на уровне зерна в рассмотрение вводится вспомогательный масштабный уровень – мезоуровень-II. На этом уровне явным образом исследуются геометрические особенности формирования пакетного мартенсита. Разработан оригинальный способ для описания полиэдрической структуры мартенсита, построение которой выполняется при достижении объемной доли новой фазы в зерне аустенита критического значения. Описание пакета как объединение полиэдров, состоящего из тонких пластин, позволяет ввести в модель геометрические характеристики элементов структуры, в частности границы пластинок и пакета, линейные размеры, объемы и др., дополнить их кристаллографическими ориентациями. Полученные геометрические характеристики мартенситного пакета с последующей обработкой передаются на уровень отдельного зерна. Это позволяет более детально учитывать реализующиеся в процессе взаимодействия фаз механизмы деформирования и упрочнения. Приводятся результаты формирования полиэдрической структуры пакета мартенсита в стали 08Х18Н10 (AISI 304) в численных экспериментах по одноосному деформированию при комнатной температуре и скорости деформирования 10-6с-1.

Ключевые слова

мартенситное превращениемногоуровневые физически-ориентированные моделинеупругое деформированиепакетный мартенситкритерий фазового превращения.

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Published: 17 June 2024
Issue date: 17 June 2024
Issue: No. 2 (2024)