Temperature and pressure dependence of elastic constants

Singh, Madan Pal; Singh, P.; Gupta, B. R. K.; Kumar, Munish

doi:10.1068/htjr012

Cited by 20 publications

(21 citation statements)

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“…On the other hand the values of bulk modulus are in excellent agreement with the experimental values 8 at different temperature and are better than the earlier study. [1][2][3][4][5] However, the present results for CaO are excellent in comparison to earlier studies. [1][2][3][4][5] The values of C 12 for SrO are increasing with increase of temperature and other values C 11 , C 44 and K have same trend as for MgO and CaO.…”

Section: Resultscontrasting

confidence: 53%

“…[1][2][3][4][5] However, the present results for CaO are excellent in comparison to earlier studies. [1][2][3][4][5] The values of C 12 for SrO are increasing with increase of temperature and other values C 11 , C 44 and K have same trend as for MgO and CaO. The values of bulk modulus are decreasing at different temperature as we move from lighter to heavier alkaline earth oxides.…”

Section: Resultscontrasting

confidence: 52%

“…14 α 0 is the thermal expansion coefficient at T 0 and K 0 is the first order pressure derivative of bulk modulus, which can be assumed nearly equal to δ 0 as mentioned elsewhere. [2][3][4][5] Expending the equation (2) and considering the terms upto third order the high-order term, the equation (2) becomes as follow…”

Section: Theorymentioning

confidence: 99%

“…8 The problem of evaluation of elastic moduli can be tackled in two different ways e.g. (i) by determining the constants or elastic moduli from temperature relationship, termed as equation of state [1][2][3][4][5] and (ii) by choosing suitable interionic potential and there by evaluating elastic constants and elastic moduli. [9][10][11][12] Both the methods help us to determine various properties of solids under varying condition of pressure and temperature.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it is important to know the effects of the temperature and pressure on the elastic properties of alkaline earth oxides (AEO) throughout the upper mantle of the Earth for better understanding about it structure, composition and mineralogy. The properties of alkaline earth oxides solids under varying condition of temperature and pressure have attracted the attention of theoretical and experimental workers [1][2][3][4][5][6][7] because of their need in different branches of science. 8 The problem of evaluation of elastic moduli can be tackled in two different ways e.g.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effect of temperature on elastic properties of alkaline earth oxides (AEO)

Gupta

Goyal

2011

AIP Advances

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A simple and straightforward theoretical model is developed to investigate the elastic properties of alkaline earth oxides under the effect of temperature as well as pressure. The calculation are performed with the help of high pressure-high temperature equation of state (EOS) based on thermodynamic analysis. The anharmonic term arising due to thermal expansion, has been taken into account in the expansion of logarithmic series of the thermodynamic data. The results obtained for alkaline earth oxides are discussed and compared with experimental data under the effect of high temperature at zero pressure. The results are found to be in good agreement with available experimental results and thus may be helpful in analyzing the other's experimental results

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Section: Resultscontrasting

confidence: 53%

Section: Resultscontrasting

confidence: 52%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effect of temperature on elastic properties of alkaline earth oxides (AEO)

Gupta

Goyal

2011

AIP Advances

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Thermoelastic properties of minerals at high temperature

et al. 2011

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The knowledge of elasticity of the minerals is useful for interpreting the structure and composition of the lower mantle and also in seismic studies. The purpose of the present study is to discuss a simple and straightforward method for evaluating thermoelastic properties of minerals at high temperatures. We have extended the Kumar's formulation by taking into the account the concept of anharmonicity in minerals above the Debye temperature (θD). In our present study, we have investigated the thermophysical properties of two minerals (pyrope-rich garnet and MgAl2O4) under high temperatures and calculated the second-order elastic constant (Cij ) and bulk modulus (KT) of the above minerals, in two cases first by taking Anderson-Gruneisen parameter (δT) as temperature-independent and then by treating δT as temperature-dependent parameter. The results obtained when δT is temperature-dependent are in close agreement with experimental data.

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