Elastic Stability and the Limits of Strength

Morris, J.W.; Clatterbuck, D. M.; Chrzan, D. C.; Krenn, C. R.; Luo, Wen; Cohen, Marvin L.

doi:10.4028/www.scientific.net/msf.426-432.4429

Cited by 17 publications

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“…It is also different from the observed BCC phase transitions in epitaxial thin films42 through the Bain path, in which uni-axial tensile stress and principle-axis straining were always involved434445. Our observation demonstrated that the lattice deformation of an FCC nanomaterial metals in tension is not always associated with the classical Bain path, but can rather be the lattice shear in the <112>{111} system2446.…”

Section: Discussioncontrasting

confidence: 83%

“…In fact, only the route of shearing along direction is consistent with our HRTEM observation, in which, the inter-plane lattice angle monotonically changes from 70.5° to ~109° on increasing the shear strain. Although the ideal shear strain in the FCC lattice has been predicted for many years192021222324, the current study is the first experimental demonstration that the theoretically predicted ideal lattice shear can be realised, indeed, in actuality when dislocation and twin activities are completely suppressed. Although the atomic structure is revealed by the phase-contrast HRTEM in this study, the continuous lattice shear in the system <112>{111} is fully supported by the excellent match between the HRTEM observation, HRTEM image simulation and ab initio simulation of the lattice structure and corresponding straining process (Fig.…”

Section: Resultsmentioning

confidence: 75%

“…The upper limit of lattice strain is of obvious interest in materials science and physics. Theorists have attempted to compute it from atomistic models since the 1920s19202122. Such estimates predicted that the upper limit of lattice deformation strain in metals can surpass 30%2324, but it has never been observed in experiments.…”

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confidence: 99%

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In situ atomic-scale observation of continuous and reversible lattice deformation beyond the elastic limit

et al. 2013

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The elastic strain sustainable in crystal lattices is usually limited by the onset of inelastic yielding mediated by discrete dislocation activity, displacive deformation twinning and stress-induced phase transformations, or fracture associated with flaws. Here we report a continuous and gradual lattice deformation in bending nickel nanowires to a reversible shear strain as high as 34.6%, which is approximately four times that of the theoretical elastic strain limit for unconstrained loading. The functioning deformation mechanism was revealed on the atomic scale by an in situ nanowire bending experiments inside a transmission electron microscope. The complete continuous lattice straining process of crystals has been witnessed in its entirety for the straining path, which starts from the face-centred cubic lattice, transitions through the orthogonal path to reach a body-centred tetragonal structure and finally to a re-oriented face-centred cubic structure.

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Section: Discussioncontrasting

confidence: 83%

Section: Resultsmentioning

confidence: 75%

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In situ atomic-scale observation of continuous and reversible lattice deformation beyond the elastic limit

et al. 2013

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“…2 Thus, K IC is not a function of just the scalar bonding energy. On the other hand, there are other fundamental mechanical and quantum mechanical attributes of bonding, such as the ideal strengths, [3][4][5] band gap, 6 ionicity, 7,8 etc., which one could correlate with K IC . These intrinsic bonding attributes can all be obtained from primitive-cell ab initio calculations.…”

Section: Introductionmentioning

confidence: 99%

“…These intrinsic bonding attributes can all be obtained from primitive-cell ab initio calculations. [3][4][5]7,8 Undoubtedly, the microstructure of a material ͑heterogeneities and interfaces͒ can significantly influence its macroscopic K IC . But here, we will demonstrate that bonding attributes at the primitive-cell level is still the most important factor.…”

Section: Introductionmentioning

confidence: 99%

Toughness scale from first principles

Ogata

2009

Journal of Applied Physics

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We correlate the experimentally measured fracture toughness of 24 metals and ceramics to their quantum mechanically calculated brittleness parameter. The brittleness parameter is defined as the ratio of the elastic energy density needed to spontaneously break bonds in shear versus in tension, and is a primitive-cell property. Under 300 GPa hydrostatic pressure, the model predicts that diamond has smaller brittleness than molybdenum at zero pressure, and thus should deform plastically without cracking at room temperature. Disciplines Engineering | Materials Science and Engineering CommentsSuggested Citation: Ogata, S. and J. Li. (2009) We correlate the experimentally measured fracture toughness of 24 metals and ceramics to their quantum mechanically calculated brittleness parameter. The brittleness parameter is defined as the ratio of the elastic energy density needed to spontaneously break bonds in shear versus in tension, and is a primitive-cell property. Under 300 GPa hydrostatic pressure, the model predicts that diamond has smaller brittleness than molybdenum at zero pressure, and thus should deform plastically without cracking at room temperature.

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The Limits of Strength

Morris

2005

Handbook of Materials Modeling

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Elastic Stability and the Limits of Strength

Cited by 17 publications

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In situ atomic-scale observation of continuous and reversible lattice deformation beyond the elastic limit

In situ atomic-scale observation of continuous and reversible lattice deformation beyond the elastic limit

Toughness scale from first principles

The Limits of Strength

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