Stored and dissipated energy of plastic deformation revisited from the viewpoint of dislocation kinetics modelling approach
Source abstract
Abstract
In the present work, we revisited the classical topic of elastic energy storage during strain hardening of metals from a perspective of the analytically tractable thermodynamic modelling framework inspired by the widely accepted phenomenological single-variable dislocation evolution approach. The model versatility has been extended towards predicting the energy partitioning during plastic flow. With a total dislocation density serving as a principal variable governing strain hardening during constant strain rate tensile tests, we have been able to demonstrate a very good predictive capability of the proposed analytical solutions. Besides the simplicity, the flexibility and predictive power of the obtained analytical solutions suggest that the entire approach can be used for further modelling, where the emphasis should be placed on the integration of various possible mechanisms of heat dissipation into the proposed framework. Although the examples of successful application of the model refer to the low-carbon austenitic stainless 316L steel, their adaptation to other fcc, bcc or hcp metals is rather straightforward.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Microstructure and mechanical properties · High-Velocity Impact and Material Behavior · Microstructure and Mechanical Properties of Steels
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (88)
Show source-provided references
1. The latent energy remaining in a metal after cold working10.1098/rspa.1934.0004 ↗
2. Measurement of the internal energy in copper introduced by cold work10.1063/1.1702323 ↗
3. Nabarro · 1967
4. Gilman · 1969
5. The heat developed during plastic extension of metals
6. The stored energy of cold work10.1016/0079-6425(73)90001-7 ↗
7. Plastic instability criterion based on energy conversion10.1016/j.msea.2006.02.465 ↗
8. Stress–strain curve and stored energy during uniaxial deformation of polycrystals10.1016/j.euromechsol.2008.06.003 ↗
9. Infrared thermography applied to the analysis of material behavior: a brief overview10.1080/17686733.2012.746069 ↗
10. An infrared image processing to analyse the calorific effects accompanying strain localisation10.1016/S0020-7225(00)00002-1 ↗
11. Thermal and dissipative effects accompanying Lьders band propagation10.1016/S0921-5093(00)01975-4 ↗
12. Fatigue assessment by energy approach during tensile tests on AISI 304 steel
13. Dissipative and microstructural effects associated with fatigue crack initiation on an Armco iron10.1016/j.ijfatigue.2013.02.009 ↗
14. Partition of plastic work into heat and stored energy in metals10.1007/BF02325036 ↗
15. A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals10.1016/S0022-5096(99)00048-4 ↗
16. Determination of the plastic work converted to heat using radiometry10.1007/BF02327503 ↗
17. Heat sources, energy storage and dissipation in high-strength steels: experiments and modelling10.1016/j.euromechsol.2009.11.005 ↗
18. On the dynamically stored energy of cold work in pure single crystal and polycrystalline copper10.1016/j.actamat.2012.03.029 ↗
19. A multianalysis thermography-based approach for fatigue and damage investigations of ASTM A182 F6NM steel at two stress ratios10.1111/ffe.12903 ↗
20. Damage monitoring in fracture mechanics by evaluation of the heat dissipated in the cyclic plastic zone ahead of the crack tip with thermal measurements10.1016/j.engfracmech.2017.06.017 ↗
21. Thermomechanical behavior of steels in tension studied with synchronized full-field deformation and temperature measurements10.1007/s40799-020-00436-y ↗
22. Thermographic methodology for rapid determination of the fatigue limit of materials and mechanical components10.1016/S0142-1123(99)00088-2 ↗
23. Evaluating the heat energy dissipated in a small volume surrounding the tip of a fatigue crack10.1016/j.ijfatigue.2016.04.001 ↗
24. Infrared thermography-based evaluation of the elastic-plastic J-integral to correlate fatigue crack growth data of a stainless steel10.1016/j.ijfatigue.2019.03.034 ↗
25. Analysis of the fatigue strength of a stainless steel based on the energy dissipation10.1016/j.ijfatigue.2006.02.043 ↗
26. Local experimental investigations of the thermomechanical behavior of a coarse-grained aluminum multicrystal using combined DIC and IRT methods10.1016/j.optlaseng.2016.01.001 ↗
27. Chapter 2 - the deformed state
28. Long-range internal stresses, dislocation patterning and work-hardening in crystal plasticity10.1016/S1572-4859(02)80007-9 ↗
29. The plasticity of pure single crystals10.1080/00018736400101031 ↗
30. Stored energy and recovery of deformed F.C.C. metals AU - Seeger, A
31. The release of energy during annealing of deformed metals
32. The dislocation density, flow stress and stored energy in deformed polycrystalline copper10.1080/14786436308211120 ↗
33. The dislocation distribution, flow stress, and stored energy in cold-worked polycrystalline silver10.1080/14786436008238300 ↗
34. Ivanov · 2006
35. The stored energy in deformed copper: The effect of grain size and silver content10.1016/0001-6160(61)90115-8 ↗
36. Evolution of fractal structures in dislocation ensembles during plastic deformation10.1103/PhysRevLett.108.205504 ↗
37. What governs ductility of ultrafine-grained metals? A microstructure based approach to necking instability10.1016/j.actamat.2017.08.069 ↗
38. Revisiting the Considère criterion from the viewpoint of dislocation theory fundamentals10.1016/j.scriptamat.2013.12.009 ↗
39. Physics and phenomenology of strain hardening: the FCC case10.1016/S0079-6425(02)00003-8 ↗
40. Kinetics of flow and strain-hardening10.1016/0001-6160(81)90112-7 ↗
41. A unified phenomenological description of work hardening and creep based on one-parameter models10.1016/0001-6160(84)90202-5 ↗
42. Modelling plastic deformation of metals over a wide range of strain rates using irreversible thermodynamics
43. The grain size effect on strain hardening and necking instability revisited from the dislocation density evolution approach10.1016/j.msea.2021.142330 ↗
44. Mémoire sur l'emploi du fer et de l'acier dans les constructions
45. Controlling strength and ductility: dislocation-based model of necking instability and its verification for ultrafine grain 316L steel10.1016/j.actamat.2016.01.005 ↗
46. Fifty-year study of the Peierls-Nabarro stress10.1016/S0921-5093(97)00184-6 ↗
47. Proof strength values for austenitic stainless steels at elevated temperatures10.1002/srin.200001224 ↗
48. The evolution of plastic resistance in large strain plastic flow of single phase subgrain forming metals10.1016/0001-6160(84)90004-X ↗
49. Time-dependent deformation of metals10.1007/BF02670420 ↗
50. Dislocation wall and cell structures and long-range internal-stresses in deformed metal crystals10.1016/0001-6160(83)90007-X ↗
51. Cold work hardening in stages IV and V of F.C.C. metals—II. Model fits and physical results10.1016/0956-7151(93)90089-B ↗
52. A dislocation-based model for all hardening stages in large strain deformation10.1016/S1359-6454(98)00196-7 ↗
53. Strain hardening at large strains as predicted by dislocation based polycrystal plasticity model10.1115/1.1421350 ↗
54. Modeling the evolution in microstructure and properties during plastic deformation of f.c.c.-metals and alloys – an approach towards a unified model10.1016/S0921-5093(01)01130-3 ↗
55. Kinetic mechanism of the formation of fragmented dislocation structures upon large plastic deformations10.1134/1.1521458 ↗
56. Evolution of dislocation densities and the critical conditions for the Portevin-Le Châtelier effect10.1016/0956-7151(90)90021-8 ↗
57. A simple model for dislocation behavior, strain and strain rate hardening evolution in deforming aluminum alloys10.1016/S0749-6419(01)00015-8 ↗
58. Dislocation Patterns and Plastic Instabilities
59. Work hardening in heterogeneous alloys—a microstructural approach based on three internal state variables10.1016/S1359-6454(00)00289-5 ↗
60. Modelling of work hardening and stress saturation in FCC metals10.1016/S0079-6425(97)00032-7 ↗
61. The theory of dislocation-based crystal plasticity10.1080/01418619908210342 ↗
62. Stage II work hardening in crystals10.1139/p67-054 ↗
63. 2015 · 2015
64. Challenges and accomplishments in mechanical testing instrumented by in situ techniques: infrared thermography, digital image correlation, and acoustic emission10.3390/app11156718 ↗
65. Mountain · 1979
66. Lock-in thermographic stress analysis of notched and unnotched specimen under alternating loads10.1016/j.prostr.2017.07.170 ↗
67. On the conversion of plastic work to heat during high strain rate deformation of glassy polymers10.1016/S0167-6636(98)00063-5 ↗
68. Century-long Taylor-Quinney interpretation of plasticity-induced heating reexamined10.1038/s41598-019-45533-0 ↗
69. On a dislocation-based constitutive model and dynamic thermomechanical considerations10.1016/j.ijplas.2018.04.012 ↗
70. The Taylor–Quinney coefficients and strain hardening of commercially pure titanium, iron, copper, and tin in high rate compression10.1016/j.ijimpeng.2021.103940 ↗
71. Dislocation densities and stored energy after cold rolling of Al-Mg alloys: investigations by resistivity and differential scanning calorimetry10.1016/S1359-6462(97)00118-8 ↗
72. On thermodynamics of crystal plasticity10.1016/j.scriptamat.2005.10.027 ↗
73. Hirth · 1982
74. Low energy dislocation structures due to unidirectional deformation at low temperatures10.1016/0025-5416(86)90258-2 ↗
75. The stored energy of plastic deformation in crystals of face- centered cubic metals10.1088/1757-899X/71/1/012077 ↗
76. A critical test on theories of work-hardening for the case of drawn iron wire10.1007/BF03038434 ↗
77. Atomistic calculations of dislocation core energy in aluminium10.1103/PhysRevB.95.054112 ↗
78. Laws for work-hardening and low-temperature creep10.1115/1.3443340 ↗
79. Estrin · 1996
80. Thermostatistical modelling of hot deformation in FCC metals10.1016/j.ijplas.2013.02.002 ↗
81. Dislocation annihilation in plastic deformation: II. Kocks–Mecking analysis10.1016/j.actamat.2012.01.028 ↗
82. The α-factor in the Taylor flow-stress law in monotonic, cyclic and quasi-stationary deformations: dependence on slip mode, dislocation arrangement and density10.1016/j.cossms.2016.07.001 ↗
83. Adiabatic heating at a dislocation pile-up avalanche10.1016/0001-6160(82)90131-6 ↗
84. Temperature rise at a dislocation pile-up breakthrough10.1016/0921-5093(89)90642-4 ↗
85. Hot spots from dislocation pile-up avalanches10.1063/1.2263498 ↗
86. Properties of dislocation drag from phonon wind at ambient conditions10.3390/ma12060948 ↗
87. Dynamic dragging of dislocations10.1070/PU1975v018n01ABEH004689 ↗
88. Phenomenological approach towards modelling the acoustic emission due to plastic deformation in metals10.1016/j.scriptamat.2019.06.011 ↗