Study of lattice strain evolution during biaxial deformation of stainless steel using a finite element and fast Fourier transform based multi-scale approach
Source abstract
Abstract
A multi-scale elastic-plastic finite element and fast Fourier transform based approach is proposed to study lattice strain evolution during uniaxial and biaxial loading of stainless steel cruciform shaped samples. At the macroscale, finite element simulations capture the complex coupling between applied forces in the arms and gauge stresses induced by the cruciform geometry. The predicted gauge stresses are used as macroscopic boundary conditions to drive a mesoscale elasto-viscoplastic fast Fourier transform model, from which lattice strains are calculated for particular grain families. The calculated lattice strain evolution matches well with experimental values from in-situ neutron diffraction measurements and demonstrates that the spread in lattice strain evolution between different grain families decreases with increasing biaxial stress ratio. During equibiaxial loading, the model reveals that the lattice strain evolution in all grain families, and not just the 311 grain family, is representative of the polycrystalline response. A detailed quantitative analysis of the 200 and 220 grain family reveals that the contribution of elastic and plastic anisotropy to the lattice strain evolution significantly depends on the applied stress ratio.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Microstructure and mechanical properties · Microstructure and Mechanical Properties of Steels · Metal Forming Simulation Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (43)
Show source-provided references
1. Multi-Axial deformation setup for microscopic testing of sheet metal to fracture10.1007/s11340-011-9532-x ↗
2. Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension10.1016/S0924-0136(98)00155-1 ↗
3. Use of abrupt strain path change for determining subsequent yield surface: experimental study with metal sheets10.1016/S1359-6454(00)00048-3 ↗
4. Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure10.1016/j.ijplas.2004.04.006 ↗
5. Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulations10.1016/j.ijplas.2006.06.003 ↗
6. A review of planar biaxial tensile test systems for sheet metal10.1016/j.jmatprotec.2007.10.015 ↗
7. Cruciform-shaped specimens for elevated temperature biaxial testing of lightweight materials10.1007/s11837-009-0121-8 ↗
8. Design of a biaxial extensometer for measuring strains in cruciform specimens10.1007/BF02324724 ↗
9. Development of an apparatus for biaxial testing using cruciform specimens10.1007/BF02324725 ↗
10. An evaluation of planar biaxial deformation in H19 can-stock sheet
11. Biaxial tests on cruciform specimens for the validation of crystallographic yield loci10.1016/S0924-0136(98)00123-X ↗
12. Investigation of multiaxial fatigue in the context of turboengine disc applications10.1016/j.ijfatigue.2010.12.018 ↗
13. Biaxial high-cycle fatigue life assessment of ductile aluminium cruciform specimens10.1016/j.tafmec.2014.08.007 ↗
14. Experimental investigation of the biaxial behaviour of an aluminum sheet10.1016/j.ijplas.2003.11.012 ↗
15. Numerical verification of a biaxial tensile test method using a cruciform specimen10.1016/j.jmatprotec.2012.12.007 ↗
16. Cruciform specimen design and verification for constitutive identification of anisotropic sheets10.1007/s11340-015-9999-y ↗
17. A Method for direct measurement of multiaxial stress-strain curves in sheet metal10.1007/s11661-006-9044-y ↗
18. Experimental observations of evolving yield loci in biaxially strained AA5754-O10.1016/j.ijplas.2008.03.003 ↗
19. Advanced biaxial cruciform testing at the NIST center for automotive lightweighting
20. Lorentzen · 2005
21. A synchrotron X-ray diffraction study of in situ biaxial deformation10.1016/j.actamat.2015.02.009 ↗
22. In-situ neutron diffraction during biaxial deformation10.1016/j.actamat.2015.12.015 ↗
23. In-situ biaxial mechanical testing at the neutron time-of-flight diffractometer POLDI10.4028/www.scientific.net/MSF.768-769.60 ↗
24. A slip system-based kinematic hardening model application to in situ neutron diffraction of cyclic deformation of austenitic stainless steel10.1016/j.ijfatigue.2011.07.008 ↗
25. Modeling lattice strain evolution at finite strains and experimental verification for copper and stainless steel using in situ neutron diffraction10.1016/j.ijplas.2010.03.005 ↗
26. Self-consistent modelling of lattice strains during the in-situ tensile loading of twinning induced plasticity steel10.1016/j.msea.2013.09.073 ↗
27. Studying the effect of stress relaxation and creep on lattice strain evolution of stainless steel under tension10.1016/j.actamat.2012.10.027 ↗
28. An elasto-viscoplastic formulation based on Fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials10.1016/j.ijplas.2011.12.005 ↗
29. Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms10.1016/j.actamat.2012.02.014 ↗
30. On the evolution of lattice deformation in austenitic stainless steels—The role of work hardening at finite strains10.1016/j.jmps.2011.09.008 ↗
31. ABAQUS Documentation · 2011
32. Two-scale FE–FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior10.1016/j.cma.2016.03.001 ↗
33. Time-of-flight diffraction with multiple pulse overlap. Part I: the concept10.1016/j.nima.2005.01.320 ↗
34. Time-of-flight diffraction with multiple frame overlap Part II: the strain scanner POLDI at PSI10.1016/j.nima.2005.01.321 ↗
35. Mantid—Data analysis and visualization package for neutron scattering and SR experiments10.1016/j.nima.2014.07.029 ↗
36. N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform10.1016/S1359-6454(01)00172-0 ↗
37. The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals10.1016/0001-6160(84)90222-0 ↗
38. Macro and intergranular stress responses of austenitic stainless steel to 90° strain path changes10.1016/j.msea.2012.03.064 ↗
39. Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on Fast Fourier Transforms10.1016/j.actamat.2012.02.014 ↗
40. Clausen · 1997
41. Iso Standard ISO/TS 21432 · 2005
42. Oliver · 2002
43. Interphase and intergranular stress generation in carbon steels10.1016/j.actamat.2003.12.035 ↗