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The embedment of the particles was determined from atomic force microscope measurements and the modulus estimated from the Johnson, Kendall and Roberts (JKR) model.
The Young's modulus estimated from the initial proportional part is about 190 GPa, in agreement with results in the literature [15].
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When core data are not available (possibly due to economic reasons), the static Young's modulus is often estimated from the dynamic Young's modulus using empirical relationships, since the dynamic Young's modulus can easily be obtained from the petrophysical data.
Where M R = Resilient modulus in (MPa), and E R = Young's modulus in (MPa), estimated from laboratory CBR at optimum moisture content with value ranges between 40.53 and 83.68 MPa).
Sub-grade stiffness as indicated by resilient modulus values were estimated from the largest penetration index values (lowest strength) using established correlation equations; this gives resilient modulus values between 27 MPa to 304 MPa.
Static Young's modulus can be estimated from the log data directly.
Based on the results obtained, the following conclusions can be drawn: 1. Static Young's modulus can be estimated from the log data directly.
Assuming that a composite model for the aggregate and paste is established based on the aforementioned assumptions and ideas, the elastic modulus of the concrete can be estimated from the elastic modulus of the paste, as shown in Fig. 10.
The equilibrium modulus exhibits a significantly weak power dependence on the cross-linking density (estimated from the modulus at the rubbery plateau and determined by dynamic viscoelastic measurements).
Second, the static modulus of elasticity (Esta) is estimated from a 3-point microbending test.
The results revealed that hardness and elastic modulus of the deposited film, estimated from nano-indentation load displacement curve for about 1 μm-thick films, increase with the increase of the absolute value of high-voltage VNPHV for VNPHV < 5 kV and then saturate.
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