Strain Rate and Strain History Effects on Hardening Behavior of FCC Metals Under Dynamic Loading -Constitutive Modelling Based on the Crystalline Plasticity-

Imaida, Yutaka; Nakamoto, Hitoshi; Shibahara, K.

doi:10.1016/b978-0-08-042824-6.50060-x

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“…An increase in critical stresses on the SS due to the interaction of six types (Table 1) of dislocation interactions (described by relations (10)) in individual randomly selected crystallites was analyzed (Figures 5 and 6). Dependence of the intensity of hardening on the accumulated strains for complex loading (tension up to 12% of the accumulated strains followed by shear) for a copper crystallite.…”

Section: Analysis Of the Resultsmentioning

confidence: 99%

“…Tests on solid samples with a change in the type of loading are also often carried out for this purpose; for instance, the results of the experiments performed on pure copper and aluminum samples subjected to compression with and without preliminary torsion at different strain rates are given in refs. [10,11]. In refs.…”

Section: Introductionmentioning

confidence: 99%

“…where α, β are the dimensionless material parameters; the derived hardening law can be used to describe the anisotropic hardening of the material when considering the interactions between dislocations on different SSs and barriers on split dislocations. Parameters for the hardening law (10) are identified on the basis of the experimental data obtained under simple and complex (tension and tension with shear) loads. The parameter identification procedure is reduced to finding the minimum of an objective function by the Nelder-Mead method.…”

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confidence: 99%

“…The hardening law parameters are identified using the results of the full-scale simple tensile tests, and the verification was carried out via the analysis of the results of shear and tensile tests. For identification and verification, the full-scale experimental data obtained in [10,13,14,51,52] are applied.…”

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confidence: 99%

“…The identification of the hardening law parameters found in the full-scale simple tensile tests (proportional tension-compression and shear) is α in relation (10) 3 and β in relation (10) 4 for copper and for copper-aluminum alloy (Table 3).…”

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Application of a Three-Level Elastoviscoplastic Model for Describing Complex Loading Processes

Trusov,

Gribov,

Kurmoyartseva

2023

Crystals

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It is known that the meso- and microstructures of metals determine the physical, mechanical and operational properties of their final products. Scientific and technological progress of recent decades has given impetus to the elaboration and use of models capable of describing the evolving structure of materials. The most promising are multilevel models that include internal variables and are based on physical theories of elastoplasticity (elastoviscoplasticity). This paper presents the structure and basic relationships of a three-level (macro-, meso-1 and meso-2 levels) elastoviscoplastic model. The developed model operates on such internal variables as dislocation densities on slip systems, barriers on split dislocations and sources of edge dislocations. The model describes the mechanisms of production, annihilation, formation of barriers and sources of dislocations. The law of hardening directly takes into account the densities of dislocations and barriers. The mechanism of inelastic deformation is the gliding of edge dislocations along slip systems. Special emphasis is placed on the influence of split dislocations (prone to forming hard Lomer–Cottrell and Hirth barriers) on the deformation of the material. The model is used to describe the behavior of an elastoviscoplastic polycrystalline aggregate with an FCC lattice. Geometric nonlinearity is taken into account by utilizing decomposition of the crystallite motion into quasi-rigid and deformation components. For this purpose, a rigid moving coordinate system for the crystal lattice is introduced. Examples of the application of the model for analyzing the simple and complex deformation mechanisms of materials with different stacking fault energies and, consequently, with different tendencies toward the decomposition of dislocations and barrier formation are given.

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Section: Analysis Of the Resultsmentioning

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Section: Introductionmentioning

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