A Large-Deformation Gradient Damage Model for Single Crystals Based on Microdamage Theory
Source abstract
Abstract
This work aims at the unification of the thermodynamically consistent representation of the micromorphic theory and the microdamage approach for the purpose of modeling crack growth and damage regularization in crystalline solids. In contrast to the thermodynamical representation of the microdamage theory, micromorphic contribution to flow resistance is defined in a dual fashion as energetic and dissipative in character, in order to bring certain clarity and consistency to the modeling aspects. The approach is further extended for large deformations and numerically implemented in a commercial finite element software. Specific numerical model problems are presented in order to demonstrate the ability of the approach to regularize anisotropic damage fields for large deformations and eliminate mesh dependency.
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Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering · High-Velocity Impact and Material Behavior
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Affiliations
Department of Mechanical Engineering, Atilim University, Ankara 06830, Turkey
Supmeca-Paris, Mechanical and Manufacturing Engineering School, 93400 Saint-Ouen, France
References (23)
Show source-provided references
1. Numerical modeling of fatigue crack growth in single crystals based on microdamage theory10.1177/1056789510395738 ↗
2. Modeling and simulation of coupled phase transformation and stress evolution in thermal barrier coatings10.1016/j.ijplas.2020.102790 ↗
3. Strain localization at the crack tip in single crystal CT specimens under monotonous loading: 3D finite element analyses and application to nickel-base superalloys10.1023/B:FRAC.0000009300.70477.ba ↗
4. Deformation and damage mechanisms of zinc coatings on galvanized steel sheets, Part II: Damage modes
5. Simulation of inter and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking10.1016/j.actamat.2009.04.035 ↗
6. On the microstructural origin of certain inelastic models10.1115/1.3225725 ↗
7. The physics of plastic deformation10.1016/0749-6419(87)90021-0 ↗
8. Gradient dependent plasticity: Formulation and algorithmic aspects10.1002/nme.1620350307 ↗
9. Fundamental issues in finite element analysis of localization of deformation10.1108/eb023897 ↗
10. Some novel developments in finite element procedures for gradient-dependent plasticity10.1002/(SICI)1097-0207(19960730)39:14<2477::AID-NME962>3.0.CO;2-E ↗
11. Nonlocal implicit gradient enhanced elasto-plasticity for the modelling of softening behaviour
12. Finite strain logarithmic hyperelasto-plasticity with softening: A strongly non-local implicit gradient framework10.1016/j.cma.2003.07.014 ↗
13. A critical comparison of nonlocal and gradient-enhanced softening continua10.1016/S0020-7683(01)00087-7 ↗
14. On the role of moving elastic-plastic boundaries in strain gradient plasticity
15. Micromorphic approach for gradient elasticity, viscoplasticity, and damage10.1061/(ASCE)0733-9399(2009)135:3(117) ↗
16. Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of Aifantis and Fleck and Hutchinson and their generalization10.1016/j.jmps.2008.12.002 ↗
17. A large-deformation gradient theory for elasticplastic materials: Strain softening and regularization of shear bands10.1016/j.ijplas.2011.10.002 ↗
18. Crack growth modelling in single crystals based on higher order continua10.1016/j.commatsci.2008.09.016 ↗
19. Micromorphic approach to single crystal plasticity and damage10.1016/j.ijengsci.2011.03.008 ↗
20. Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen10.1007/BF00281393 ↗
21. The elastic behavior of vulcanized rubber10.5254/1.3547545 ↗
22. Moderate deformations in extension-torsion of incompressible isotropic elastic materials10.1016/0022-5096(86)90021-9 ↗
23. On, H. Hencky’s approximate strain-energy function for moderate deformations10.1115/1.3424532 ↗