Strength Parameter

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Rabiyat G. Batyrova - One of the best experts on this subject based on the ideXlab platform.

  • yang yang critical anomaly Strength Parameter from the direct two phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

  • Yang–Yang critical anomaly Strength Parameter from the direct two-phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

Ilmutdin M. Abdulagatov - One of the best experts on this subject based on the ideXlab platform.

  • yang yang critical anomaly Strength Parameter from the direct two phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

  • Yang–Yang critical anomaly Strength Parameter from the direct two-phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

N. G. Polikhronidi - One of the best experts on this subject based on the ideXlab platform.

  • yang yang critical anomaly Strength Parameter from the direct two phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

  • Yang–Yang critical anomaly Strength Parameter from the direct two-phase isochoric heat capacity measurements near the critical point
    Fluid Phase Equilibria, 2016
    Co-Authors: Ilmutdin M. Abdulagatov, N. G. Polikhronidi, Rabiyat G. Batyrova
    Abstract:

    Abstract New technique of the Yang–Yang critical anomaly Strength function, Rμ(T), determination from direct two-phase liquid ( C V2 ′ ) and vapor ( C V2 ″ ) isochoric heat capacity and liquid (V′) and vapor (V″) specific volumes measurements at the saturation have been developed. Our measured two-phase (liquid and vapor) isochoric heat capacities ( C V2 ″ , C V2 ′ ) and liquid and vapor specific volumes (V″,V′) data at saturation near the critical point have been used to accurately determine the Yang–Yang anomaly Strength Parameter, Rμ(T = Tc) = Rμ0, for various molecular liquids. The derived values of the Yang–Yang critical anomaly Strength function show trend to negative infinity near the critical point as predicted by the theory (Cerdeirina et al., 2015) based on compressible cell gas (CCG) model that obey complete scaling with pressure mixing. The physical nature and details of the temperature and the specific volume dependences of the CV2 and correct estimations of the contributions of various terms (chemical potential CVμ and vapor-pressure CVP) to the measured total two-phase heat capacity were discussed in terms of the Yang–Yang anomaly Parameter.

Ming Cai - One of the best experts on this subject based on the ideXlab platform.

  • practical estimates of tensile Strength and hoek brown Strength Parameter m i of brittle rocks
    Rock Mechanics and Rock Engineering, 2010
    Co-Authors: Ming Cai
    Abstract:

    By applying the Griffith stress criterion of brittle failure, one can find that the uniaxial compressive Strength (σc) of rocks is eight times the value of the uniaxial tensile Strength (σt). The Griffith Strength ratio is smaller than what is normally measured for rocks, even with the consideration of crack closure. The reason is that Griffith’s theories address only the initiation of failure. Under tensile conditions, the crack propagation is unstable so that the tensile crack propagation stress (σcd)t and the peak tensile Strength σt are almost identical to the tensile crack initiation stress (σci)t. On the other hand, the crack growth after crack initiation is stable under a predominantly compressive condition. Additional loading is required in compression to bring the stress from the crack initiation stress σci to the peak Strength σc. It is proposed to estimate the tensile Strength of strong brittle rocks from the Strength ratio of \( R = {\frac{{\sigma_{\text{c}} }}{{\left| {\sigma_{\text{t}} } \right|}}} = 8{\frac{{\sigma_{\text{c}} }}{{\sigma_{\text{ci}} }}}. \) The term \( {\frac{{\sigma_{\text{c}} }}{{\sigma_{\text{ci}} }}} \) accounts for the difference of crack growth or propagation in tension and compression in uniaxial compression tests. \( {\frac{{\sigma_{c} }}{{\sigma_{ci} }}} \) depends on rock heterogeneity and is larger for coarse grained rocks than for fine grained rocks. σci can be obtained from volumetric strain measurement or acoustic emission (AE) monitoring. With the Strength ratio R determined, the tensile Strength can be indirectly obtained from \( \left| {\sigma_{\text{t}} } \right| = {\frac{{\sigma_{\text{c}} }}{R}} = {\frac{{\sigma_{\text{ci}} }}{8}}. \) It is found that the predicted tensile Strengths using this method are in good agreement with test data. Finally, a practical estimate of the Hoek–Brown Strength Parameter mi is presented and a bi-segmental or multi-segmental representation of the Hoek–Brown Strength envelope is suggested for some brittle rocks. In this fashion, the rock Strength Parameters like σt and mi, which require specialty tests such as direct tensile (or Brazilian) and triaxial compression tests for their determination, can be reasonably estimated from uniaxial compression tests.

  • Practical Estimates of Tensile Strength and Hoek–Brown Strength Parameter m _i of Brittle Rocks
    Rock Mechanics and Rock Engineering, 2010
    Co-Authors: Ming Cai
    Abstract:

    By applying the Griffith stress criterion of brittle failure, one can find that the uniaxial compressive Strength (σ_c) of rocks is eight times the value of the uniaxial tensile Strength (σ_t). The Griffith Strength ratio is smaller than what is normally measured for rocks, even with the consideration of crack closure. The reason is that Griffith’s theories address only the initiation of failure. Under tensile conditions, the crack propagation is unstable so that the tensile crack propagation stress (σ_cd)_t and the peak tensile Strength σ_t are almost identical to the tensile crack initiation stress (σ_ci)_t. On the other hand, the crack growth after crack initiation is stable under a predominantly compressive condition. Additional loading is required in compression to bring the stress from the crack initiation stress σ_ci to the peak Strength σ_c. It is proposed to estimate the tensile Strength of strong brittle rocks from the Strength ratio of $$ R = {\frac{{\sigma_{\text{c}} }}{{\left| {\sigma_{\text{t}} } \right|}}} = 8{\frac{{\sigma_{\text{c}} }}{{\sigma_{\text{ci}} }}}. $$ The term $$ {\frac{{\sigma_{\text{c}} }}{{\sigma_{\text{ci}} }}} $$ accounts for the difference of crack growth or propagation in tension and compression in uniaxial compression tests. $$ {\frac{{\sigma_{c} }}{{\sigma_{ci} }}} $$ depends on rock heterogeneity and is larger for coarse grained rocks than for fine grained rocks. σ_ci can be obtained from volumetric strain measurement or acoustic emission (AE) monitoring. With the Strength ratio R determined, the tensile Strength can be indirectly obtained from $$ \left| {\sigma_{\text{t}} } \right| = {\frac{{\sigma_{\text{c}} }}{R}} = {\frac{{\sigma_{\text{ci}} }}{8}}. $$ It is found that the predicted tensile Strengths using this method are in good agreement with test data. Finally, a practical estimate of the Hoek–Brown Strength Parameter m _i is presented and a bi-segmental or multi-segmental representation of the Hoek–Brown Strength envelope is suggested for some brittle rocks. In this fashion, the rock Strength Parameters like σ_t and m _i, which require specialty tests such as direct tensile (or Brazilian) and triaxial compression tests for their determination, can be reasonably estimated from uniaxial compression tests.

Vladimir A. Yerokhin - One of the best experts on this subject based on the ideXlab platform.

  • lamb shift of n 1 and n 2 states of hydrogen like atoms 1 z 110
    Journal of Physical and Chemical Reference Data, 2015
    Co-Authors: Vladimir A. Yerokhin, V. M. Shabaev
    Abstract:

    Theoretical energy levels of the n = 1 and n = 2 states of hydrogen-like atoms with the nuclear charge numbers 1 ≤ Z ≤ 110 are tabulated. The tabulation is based on ab initio quantum electrodynamics calculations performed to all orders in the nuclear binding Strength Parameter Zα, where α is the fine structure constant. Theoretical errors due to various effects are critically examined and estimated.

  • qed theory of the nuclear magnetic shielding in hydrogenlike ions
    Physical Review Letters, 2011
    Co-Authors: Vladimir A. Yerokhin, Krzysztof Pachucki, Zoltan Harman, Christoph H Keitel
    Abstract:

    : The shielding of the nuclear magnetic moment by the bound electron in hydrogenlike ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all orders in the nuclear binding Strength Parameter and, independently, to the first order in the expansion in this Parameter. The results obtained lay the basis for the high-precision determination of nuclear magnetic dipole moments from measurements of the g factor of hydrogenlike ions.

  • nonperturbative calculation of the two loop lamb shift in li like ions
    Physical Review Letters, 2006
    Co-Authors: Vladimir A. Yerokhin, P. Indelicato, V. M. Shabaev
    Abstract:

    A calculation valid to all orders in the nuclear-Strength Parameter is presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, to the 2p-2s transition energies in heavy Li-like ions. The calculation removes the largest theoretical uncertainty for these transitions and yields the first experimental identification of two-loop QED effects in the region of the strong binding field.

  • Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
    Physical Review Letters, 2006
    Co-Authors: Vladimir A. Yerokhin, P. Indelicato, V. M. Shabaev
    Abstract:

    A calculation valid to all orders in the nuclear-Strength Parameter is presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, to the 2p-2s transition energies in heavy Li-like ions. The calculation removes the largest theoretical uncertainty for these transitions and yields the first experimental identification of two-loop QED effects in the region of the strong binding field.

  • Screened self-energy correction to the 2p3/2-2s transition energy in Li-like ions
    Optics and Spectroscopy, 2005
    Co-Authors: Vladimir A. Yerokhin, V. M. Shabaev, A. N. Artemyev, G. Plunien, Gerhard Soff
    Abstract:

    We present an ab initio calculation of the screened self-energy correction for 1s2 2p3/2 and 1s2 2s states of Li-like ions with nuclear charge numbers in the range Z = 12−100. The evaluation is carried out to all orders in the nuclear Strength Parameter Zα. This investigation concludes our calculations of all two-electron QED corrections for the 2p3/2-2s transition energy in Li-like ions and thus considerably improves theoretical predictions for this transition for high-Z ions.