Polymer Chain Behavior Simulator — Stress Relaxation & Viscoelasticity Interactive

Interactive 3D polymer laboratory: hold a network at fixed strain and read the relaxing and persistent stress.

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About the Polymer Chain Behavior Simulator

A polymer network is held at a fixed small strain. Chain motion illustrates relaxation while a spring–dashpot inset explains the transient and equilibrium contributions to stress.

What the simulator shows

• 3D scene parts: magnified chain network; network junction markers; fixed-strain clamps; spring and dashpot analogue; force-response display. • Controls: step strain (0.01–0.1), equilibrium network fraction (0–1), temperature (280–360 K), relaxation time at 298 K (1–20 s). • Live readouts: total tensile stress; relaxing stress contribution; persistent network stress; temperature-adjusted relaxation time; transient stress remaining; held engineering strain. • Guided experiments: No persistent network; Fully persistent network; Warmer sample. • Four tabs (visual laboratory, curves and measurements, experiments, learn and assess), a model-verification run, a timestamped event log and a trial report.

The model equations

E0=20 MPa; E∞=network fraction × E0 τ(T)=τ298 exp[4000(1/T−1/298)] σ(t)=ε0[E∞+(E0−E∞)exp(−t/τ)] Strain is constant; the transient Maxwell branch relaxes.

Model limits and how to explore

Small-strain standard-linear-solid response with an illustrative Arrhenius shift. Network fraction is a modulus proxy, not a measured crosslink density. No glass transition, finite-chain extensibility, bond breaking or atomistic dynamics. Chain motion is a visual analogy to the constitutive relaxation. Try the preset experiments, then compare the live readouts with the equations.

Frequently asked questions

Must strain decrease when stress relaxes?

No, strain is held fixed. Relaxation redistributes strain inside the constitutive branches.

Does the chain animation solve molecular dynamics?

No. The numerical model is a continuum viscoelastic analogue.

What does this simulator not model?

Small-strain standard-linear-solid response with an illustrative Arrhenius shift. Network fraction is a modulus proxy, not a measured crosslink density. No glass transition, finite-chain extensibility, bond breaking or atomistic dynamics. Chain motion is a visual analogy to the constitutive relaxation.

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