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How does 'Stress Relaxation' affect the long-term preload of a wave spring in a bolted joint assembly at $150^{\circ}C$?

2026-06-16 FAQ

Stress relaxation is the time-dependent transition of elastic strain into plastic strain under constant deflection. In a bolted joint, if a wave spring is used to maintain tension, relaxation will result in a decrease in the applied force $P$. The rate of relaxation follows an Arrhenius-type relationship: $d\sigma/dt = A \cdot e^{(-Q/RT)} \cdot \sigma^n$,...

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Stress relaxation is the time-dependent transition of elastic strain into plastic strain under constant deflection. In a bolted joint, if a wave spring is used to maintain tension, relaxation will result in a decrease in the applied force $P$. The rate of relaxation follows an Arrhenius-type relationship: $d\sigma/dt = A \cdot e^{(-Q/RT)} \cdot \sigma^n$, where $Q$ is the activation energy for creep and $T$ is temperature. At $150^{\circ}C$, standard carbon steels may relax up to $10-15\%$ of their initial load within the first $1000$ hours. To mitigate this, engineers should specify a 'Heat Setting' process during manufacture, where the spring is compressed to its working height and exposed to a temperature exceeding the operating environment, effectively 'pre-relaxing' the material.

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