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Prony Series Viscoelastic Stress Superposition (Halowerk Detect)
x402
Prony Series Viscoelastic Stress Superposition (Halowerk Detect) is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).
Computes the stress response over time for a viscoelastic material subjected to an explicit, bounded sequence of strain steps using Prony series relaxation and superposition.
Price / call$0.003
Success—
StatusUnknown
How this service works
Compute technical stress response to an explicit bounded strain-step history.
Output
Returns the computed technical stress values at each requested evaluation time, reflecting the full superposed relaxation response of the Prony series model to the given strain step history.
Example use cases
Polymer seal stress relaxation analysis
“I have a rubber seal modeled with a Prony series: equilibrium modulus 0.3, two terms with moduli 2.0 and 1.0 and taus of 0.005 and 0.2. It gets a strain step of +0.1 at t=0. Can you compute the stress response at times [0, 0.01, 0.05, 0.1, 0.5, 1.0, 5.0]?”
Multi-step loading viscoelastic simulation
“Simulate the stress history of a viscoelastic foam with equilibrium modulus 0.1, Prony terms (modulus 0.9, tau 0.1) and (modulus 0.5, tau 1.0), subjected to strain steps: +0.08 at t=0, +0.04 at t=2, and -0.06 at t=5. Evaluate at times [0, 1, 2, 3, 5, 7, 10].”
Adhesive layer stress after load reversal
“For a structural adhesive with equilibrium modulus 10, two Prony terms (modulus 50, tau 0.001) and (modulus 20, tau 0.01), apply a strain step of +0.02 at t=0 and a reversal of -0.02 at t=0.1, then compute stress at times [0, 0.001, 0.01, 0.05, 0.1, 0.2, 1.0].”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-TD2000-ENGINEERING-B001/prony-relaxation-strain-step-stress-superposition?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a rigorous, closed-form Prony series stress superposition computation for a viscoelastic material under a known, explicit strain step history, particularly in engineering contexts (polymer mechanics, rubber, adhesives, foams) where the Boltzmann superposition principle applies and you need stress evaluated at specific time points without running a full FEM solver.
Side effects
- Invalid Prony term parameters (modulus or tau out of bounds) return a validation error
- More than 24 Prony terms or more than 128 strain steps or time points exceeds schema limits
- Negative or zero time values may cause rejection
- Missing required fields (equilibrium_modulus, terms, strain_steps, times) result in a 400-class error
- Payment not provided or insufficient USDC results in 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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