Elastic Moduli — Studio

Premium calculator for cubic‑crystal properties with instant results.

Inputs

C11

C12

C44

Y for H (optional)

Formulas

G = (Gv + Gr)/2, with Gv = (C11 − C12 + 3C44)/2 and Gr = 5(C11 − C12)C44 / (4C44 + 3(C11 − C12))
B = (C11 + 2C12)/3; Y = 9GB/(G + 3B); ν = (3B − 2G)/(6B + 2G); A = 2C44/(C11 − C12)
Cs⟨100⟩ = C44; Cs⟨110⟩ = (C11 − C12)/2; H = (1 − 2ν)Y / (6(1 + ν))

Results

Use consistent units (e.g., GPa) so outputs keep the same scale; H is unitless if Y matches G and B.