An elasticity audit traces every modulus, stress, strain, and geometry value back to a named source, so no entry enters the bulk-response ledger without a citation. The bookkeeping is exact only for the stated inputs and their cited origins in the ideal linear elastic model. Real materials add nonlinear response, porosity, temperature/loading history, geometry tolerance, calibration, and measurement/source uncertainty that blur the audit.
The final material-response ledger accepts only a coherent source chain. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
The audit starts as a source map
The final claim is only accepted when every source role is present: stress, strain, Young modulus, bar force, shear, and bulk.
sources=6accepted=1
The audit inventory lists checked source values
These are not new calculations. The table collects values already bound by the earlier stress, modulus, bar, shear, and bulk checks.