{'fraction_non_alphanumeric': 0.04405286343612335, 'fraction_numerical': 0.01762114537444934, 'mean_word_length': 5.035398230088496, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Fracture roughness scaling: A case study on planar cracks

Using a multi-resolution technique, we analyze large in-plane fracture fronts moving slowly between two sintered Plexiglas plates. We find that the roughness of the front exhibits two distinct regimes separated by a crossover length scale δ*. Below δ*, we observe a multi-affine regime and the measured roughness exponent ζ‖−=0.60±0.05 is in agreement with the coalescence model. Above δ*, the fronts are mono-affine, characterized by a roughness exponent ζ‖+=0.35±0.05, consistent with the fluctuating line model. We relate the crossover length scale to fluctuations in fracture toughness and the stress intensity factor.