Small-strain shear-modulus correlations by soil group
ShearModelParameters.RdCoefficients of the empirical correlations
\(G_0 = A F(e) (\sigma'_0)^n\) tabulated by Ishihara (1996), grouped by
soil family. Ishihara's Table 6.1 states \(\sigma'_0\) and \(G_0\) in
kPa; this table keeps the stress in kPa and expresses A for the
modulus in MPa (7.00 for the round-grained Ottawa sand of Hardin and
Richart (1963), printed 7000 for the modulus in kPa).
evaluateSoilLayers() applies each row at the octahedral mean effective
stress \(p_m\) (kPa) of a layer as
$$G = A F(e)\, OCR^{m_1}\, 100^{n} (p_m/100)^{n} = A F(e)\, OCR^{m_1}\, p_m^{n}$$
in MPa, with the overconsolidation factor \(OCR^{m_1}\) of Hardin and
Drnevich (1972) for fine soils (\(m_1 = 0\) otherwise). The factor
\(100^{n} (p_m/100)^{n}\) equals \(p_m^{n}\); it does not normalize
A, which is not the modulus at 100 kPa. Carried
byte-identical from newmark 1.7.1 (data-raw/MaterialProperties.xlsx).
Format
A data.table with 20 rows and 10 variables:
- ModelID
Character: correlation identifier;
SS75uses the linear void-ratio function, every other row the quadratic one.- GroupID
Character:
Gravels,SandsorFines.- NameID, AuthorID
Character: material and authors.
- emin, emax
Double: void-ratio interval of the correlation.
- A
Double: coefficient of \(F(e)\, p^n\) for the modulus in MPa with the stress \(p\) in kPa.
- Ce
Double: void-ratio coefficient of \(F(e)\).
- n
Double: stress exponent.
- UN
Character: units of the modulus.