journal article·2017-03Open access

On the ultimate tensile strength of tantalum

Eric N. Hahn, Timothy C. Germann, Ramon Ravelo, James E. Hammerberg, Marc A. Meyers

Acta Materialia· Volume 126

Abstract

Abstract Strain rate, temperature, and microstructure play a significant role in the mechanical response of materials. Using non-equilibrium molecular dynamics simulations, we characterize the ductile tensile failure of a model body-centered cubic metal, tantalum, over six orders of magnitude in strain rate. Molecular dynamics calculations combined with reported experimental measurements show power-law kinetic relationships that vary as a function of dominant defect mechanism and grain size. The maximum sustained tensile stress, or spall strength, increases with increasing strain rate, before ultimately saturating at ultra-high strain rates, i.e. those approaching or exceeding the Debye frequency. The upper limit of tensile strength can be well estimated by the cohesive energy, or the energy required to separate atoms from one another. At strain rates below the Debye frequency, the spall strength of nanocrystalline Ta is less than single crystalline tantalum. This occurs in part due to the decreased flow stress of the grain boundaries; stress concentrations at grain boundaries that arise due to compatibility requirements; and the growing fraction of grain-boundary atoms as grain size is decreased into the nanocrystalline regime. In the present cases, voids nucleate at defect structures present in the microstructure. The exact makeup and distribution of defects is controlled by the initial microstructure and the plastic deformation during both compression and expansion, where grain boundaries and grain orientation play critical roles.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Microstructure and mechanical properties · High-Velocity Impact and Material Behavior · Ion-surface interactions and analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (95)

Show source-provided references
1. Antoun · 2003
2. Void growth by dislocation emission10.1016/j.actamat.2003.11.022 ↗
3. On the nucleation and growth of voids at high strain-rates10.1023/A:1008685029849 ↗
4. Dynamic fracture (spalling) of metals10.1016/0079-6425(83)90003-8 ↗
5. A method of measuring the pressure produced in the detonation of high explosives or by the impact of bullets
6. Theory of spall damage accumulation in ductile metals10.1016/0022-5096(77)90017-5 ↗
7. The spall strength of condensed matter10.1016/0022-5096(88)90015-4 ↗
8. Spallation of metals under laser irradiation10.1063/1.349087 ↗
9. Resistance to dynamic deformation and fracture of tantalum with different grain and defect structures10.1134/S1063783412040233 ↗
10. Spallation generated by femtosecond laser driven shocks in thin metallic targets10.1088/0022-3727/42/6/065402 ↗
11. The behavior of tantalum under ultrashort loads induced by femtosecond laser10.1088/1742-6596/653/1/012001 ↗
12. An increase of the spall strength in aluminum, copper, and Metglas at strain rates larger than 107 s−110.1063/1.367222 ↗
13. Unusual behaviour of usual materials in shock waves10.1088/1742-6596/500/1/012001 ↗
14. Spallation model for the high strain rates range10.1063/1.368727 ↗
15. Why are some interfaces in materials stronger than others?10.1038/srep05461 ↗
16. Dislocation evolution and peak spall strengths in single crystal and nanocrystalline Cu10.1063/1.4939867 ↗
17. Christy · 1986
18. Meyers · 1999
19. Microstructural aspects of dynamic failure
20. Study of the laser-driven spallation process by the VISAR interferometry technique. II. Experiment and simulation of the spallation process10.1063/1.366820 ↗
21. Femtosecond visualization of lattice dynamics in shock-compressed matter10.1126/science.1239566 ↗
22. Lattice-level observation of the elastic-to-plastic relaxation process with subnanosecond resolution in shock-compressed Ta using time-resolved ∖textit{in situ} Laue diffraction10.1103/PhysRevB.92.104305 ↗
23. Sound speed measurements in tantalum using the front surface impact technique10.1088/1742-6596/500/3/032018 ↗
24. Study of the laser-driven spallation process by the velocity interferometer system for any reflector interferometry technique. I. Laser-shock characterization10.1063/1.366819 ↗
25. On the validity of the traditional measurement of spall strength10.1016/j.ijimpeng.2004.04.006 ↗
26. The influence of shock-loading path on the spallation response of Ta10.1088/1742-6596/500/11/112031 ↗
27. Ultra-high speed imaging of laser-induced spallation10.1007/s11340-014-9973-0 ↗
28. Modelling of nucleation and void growth in dynamic pressure loading, application to spall test on tantalum10.1007/s10704-006-0070-y ↗
29. Response and representation of ductile damage under varying shock loading conditions in tantalum10.1063/1.4941823 ↗
30. Ultrahigh strength in nanocrystalline materials under shock loading10.1126/science.1116723 ↗
31. Metal deformation and phase transitions at extremely high strain rates10.1557/mrs2010.705 ↗
32. Plasticity induced by shock waves in nonequilibrium molecular-dynamics simulations10.1126/science.280.5372.2085 ↗
33. Shock-induced plasticity in tantalum single crystals: interatomic potentials and large-scale molecular-dynamics simulations10.1103/PhysRevB.88.134101 ↗
34. Molecular dynamics simulations of shock-induced plasticity in tantalum10.1016/j.hedp.2013.10.007 ↗
35. Molecular-dynamics simulations of two-dimensional materials at high strain rates10.1103/PhysRevA.45.8457 ↗
36. Shock-induced spall in solid and liquid Cu at extreme strain rates10.1063/1.3158062 ↗
37. Spall damage of copper under supported and decaying shock loading10.1063/1.3271414 ↗
38. Shock wave loading and spallation of copper bicrystals with asymmetric Σ3〈110〉 tilt grain boundaries10.1063/1.3506707 ↗
39. Structure of a nanospike generated on metal surface irradiated by a single femtosecond laser pulse10.1021/acs.jpcc.6b00013 ↗
40. Atomistic simulations of shock induced microstructural evolution and spallation in single crystal nickel10.1063/1.2423084 ↗
41. Influence of phase transition on shock-induced spallation in nanocrystalline iron10.1063/1.4935452 ↗
42. Critical behavior in spallation failure of metals10.1103/PhysRevB.63.060103 ↗
43. Comparison between experiments and molecular dynamic simulations of spallation induced by ultra-short laser shock on micrometric tantalum targets10.1063/1.3295270 ↗
44. Experimental and numerical study of the tantalum single crystal spallation10.1140/epjb/e2012-30269-9 ↗
45. Void growth in bcc metals simulated with molecular dynamics using the Finnis–Sinclair potential10.1080/14786430903222529 ↗
46. Void initiation in fcc metals: effect of loading orientation and nanocrystalline effects10.1016/j.actamat.2010.04.043 ↗
47. Plastic deformation of a porous bcc metal containing nanometer sized voids10.1016/j.commatsci.2014.02.047 ↗
48. Ductile tensile failure in metals through initiation and growth of nanosized voids10.1016/j.actamat.2012.05.030 ↗
49. Growth and collapse of nanovoids in tantalum monocrystals10.1016/j.actamat.2010.11.001 ↗
50. Shock compression and spallation of single crystal tantalum
51. Dynamic failure in solids10.1063/1.3037367 ↗
52. A type of plastic deformation new in metals10.1038/149643a0 ↗
53. Orientation and rate dependence in high strain-rate compression of single-crystal silicon10.1103/PhysRevB.86.245204 ↗
54. Phase transformation in tantalum under extreme laser deformation10.1038/srep15064 ↗
55. Non-equilibrium molecular dynamics simulations of spall in single crystal tantalum
56. Shock viscosity and the prediction of shock wave rise times10.1063/1.336184 ↗
57. Shock-induced deformation twinning in tantalum10.1016/S1359-6454(96)00145-0 ↗
58. Molecular dynamics comes of age: 320 billion atom simulation on bluegene/L10.1142/S0129183106010182 ↗
59. Multi-million particle molecular dynamics on the CM-510.1142/S0129183193000835 ↗
60. 50 GFlops molecular dynamics on the Connection Machine-5
61. Fast parallel algorithms for short-range molecular dynamics10.1006/jcph.1995.1039 ↗
62. Large-scale molecular dynamics simulations of shock induced plasticity in tantalum single crystals10.1063/1.3686510 ↗
63. Computational aspects of many-body potentials10.1557/mrs.2012.96 ↗
64. Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool10.1088/0965-0393/18/1/015012 ↗
65. Extracting dislocations and non-dislocation crystal defects from atomistic simulation data10.1088/0965-0393/18/8/085001 ↗
66. Computational analysis methods in atomistic modeling of crystals10.1007/s11837-013-0827-5 ↗
67. General formulation of pressure and stress tensor for arbitrary many-body interaction potentials under periodic boundary conditions10.1063/1.3245303 ↗
68. The morphology of tensile failure in tantalum, metall10.1007/s11661-013-1814-8 ↗
69. Symmetric tilt boundaries in body-centered cubic tantalum10.1016/j.scriptamat.2016.01.038 ↗
70. Competing twinning mechanisms in body-centered cubic metallic nanowires10.1016/j.scriptamat.2015.11.006 ↗
71. Molecular dynamics modeling and simulation of void growth in two dimensions10.1088/0965-0393/21/7/075010 ↗
72. Simulation of tantalum nanocrystals under shock wave loading: dislocations and twinning
73. Plastic deformation in nanoindentation of tantalum: a new mechanism for prismatic loop formation10.1016/j.actamat.2014.06.058 ↗
74. Inverse Hall–Petch relationship in nanocrystalline tantalum10.1016/j.msea.2013.05.024 ↗
75. Structure identification methods for atomistic simulations of crystalline materials10.1088/0965-0393/20/4/045021 ↗
76. High strain rates effects in quasi-isentropic compression of solids10.1063/1.3295269 ↗
77. Continuum model of tensile fracture of metal melts and its application to a problem of high-current electron irradiation of metals10.1063/1.4926861 ↗
78. Equation for the melting curve of solids under high pressure10.1002/pssb.2221090115 ↗
79. A survey of high explosive-induced damage and spall in selected metals using proton radiography
80. Microscopic mechanisms of laser spallation and ablation of metal targets from large-scale molecular dynamics simulations10.1007/s00339-013-8086-4 ↗
81. Universal features of the equation of state of metals10.1103/PhysRevB.29.2963 ↗
82. A comparison of calculated damage from square waves and triangular waves10.1063/1.3686457 ↗
83. Influence of shock-wave profile shape on dynamically induced damage in high-purity copper10.1063/1.2128493 ↗
84. The spall strength of condensed matter10.1016/0022-5096(88)90015-4 ↗
85. Laser shock-induced spalling and fragmentation in vanadium10.1016/j.actamat.2010.04.027 ↗
86. Rate-dependent spallation properties of tantalum10.1063/1.50651 ↗
87. Micromechanics of spall and damage in tantalum10.1016/0924-0136(96)02340-0 ↗
88. Quantitative description of damage evolution in ductile fracture of tantalum10.1007/s11661-000-1004-3 ↗
89. Roy · 2003
90. The role of cold work on the shock response of tantalum10.1063/1.4810896 ↗
91. Specific features of the behaviour of targets under negative pressures created by a picosecond laser pulse10.1070/QE2013v043n03ABEH015106 ↗
92. Dynamic strength of tantalum under impact10.1088/1742-6596/500/11/112029 ↗
93. Remington · 2015
94. Pressure and shear-induced amorphization of silicon10.1016/j.eml.2015.10.001 ↗
95. Ab initio refinement of the thermal equation of state for bcc tantalum: the effect of bonding on anharmonicity10.1088/0953-8984/21/9/095408 ↗