A crystal plasticity model for porous HCP crystals in titanium alloys under multiaxial loading conditions

• Published in: International journal of solids and structures Vol. 238; p. 111400
• Main Authors: Yang, Qingcheng, Ghosh, Somnath
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.03.2022; Elsevier BV
• Subjects: Algorithms; Axial stress; Crystal plasticity; Crystallography; Crystals; Finite element method; HCP crystals; Homogenization; Plastic properties; Porosity; Porous RVE analysis; Titanium alloys; Titanium base alloys; Homogenization; Crystal plasticity; HCP crystals; Porous RVE analysis; Porosity
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2021.111400

•Crystal plasticity model for porous HCP single crystals, e.g. Ti alloys.•Novel penalty-free scheme developed for maintaining specified stress-states, e.g. traxiality.•Tension and compression, axisymmetric and non-axisymmetric loadings are considered.•The effects of initial porosity, crystal orientation, and stress state are explored.•The porous CP model is capable of modeling polycrystalline microstructures containing voids. In this paper, an efficient and effective crystal plasticity model is proposed for porous HCP crystals subject to a variety of multiaxial loading conditions. These conditions include (i) uniaxial, biaxial, and triaxial, (ii) tension and compression, (iii) low and high triaxiality, and (iv) axisymmetric and non-axisymmetric loadings. The framework is based on a combination of variational homogenization, phenomenological extensions, and assumptions motivated by observations from the high-fidelity micromechanical analysis. A novel penalty-free algorithm is employed to reach and maintain a specified stress state while performing representative volume element (RVE)-based crystal plasticity finite element (CPFE) analysis with porosity. The RVE studies demonstrate that the initial porosity, crystallographic orientation, and stress states have a significant effect on the homogenized mechanical responses of microscopically porous RVEs. The proposed porous crystal plasticity model is developed and calibrated using a database generated from the results of micromechanical RVE analysis. The calibrated porous model is reasonably effective in predicting the response of porous crystalline RVEs.