A thermodynamically consistent phase-field framework for viscoelastic fatigue fracture with dissipated-energy-driven toughness degradation

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lora_alpha=16.0, # Scaling factor (usually 2*r)

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The existence of a pair of elements with spacing of less than 1 / K is the crux of the proof. The rest is just a bit of manipulation to relate these elements to a rational approximation of the starting number r.

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