Skip to main content

Material operators

8 operators in the material category of the live registry. Compose them in a contract or call POST /api/zeq/compute — KO42 is always on, plus up to three more per call.

How it computes: dedicated closed-form solver solveStructural — real equations over CODATA-2018 constants; where an operator needs a series/matrix/field a scalar cannot express, it refuses honestly. See the solvers.

OperatorDescriptionEquation
ALLOY_MIXTUREVoigt upper bound rule of mixtures estimating composite elastic modulus as the volume-weighted average of fiber and matrix moduli.E_c = V_f E_f + V_m E_m
CRYSTAL_DIFFRACTIONBragg's law relating X-ray wavelength and crystal lattice spacing to the diffraction angle for constructive interference.n\lambda = 2d\sin\theta
CRYSTAL_LATTICEInterplanar spacing for cubic crystal systems computed from the lattice parameter and Miller indices of the diffracting plane.d_{hkl} = \frac{a}{\sqrt{h^2 + k^2 + l^2}}
HARDNESS_VICKERSVickers hardness number calculated from the applied test force divided by the surface area of the pyramidal indentation.HV = \frac{1.854F}{d^2}
MATERIAL_MODULUSYoung's modulus defining the ratio of uniaxial stress to strain in the linear elastic region of a material's response.E = \frac{\sigma}{\epsilon}
MATERIAL_STRENGTHHall-Petch equation predicting yield strength increase with decreasing grain size through a square-root inverse relationship.\sigma_y = \sigma_0 + k_y d^{-1/2}
NANO_SURFACETotal surface area of a collection of spherical nanoparticles calculated from individual particle radius and particle count.SA = 4\pi r^2 \times N
THERMAL_EXPANSIONLinear thermal expansion giving the change in length of a material as the product of original length, expansion coefficient, and temperature change.\Delta L = L_0 \alpha \Delta T

Compute one — a real call​

Ask the operator which inputs it needs (the honesty contract refuses empty inputs rather than inventing them):

curl -sS -X POST https://zeqsdk.com/api/zeq/operator-spec \
  -H "Content-Type: application/json" \
  -d '{"operator":"ALLOY_MIXTURE"}'

See also​