Cui, W.; Huang, H. D.; Liu, Z. Y.; Xiao, M.; Ran, R. The Lake–Thomas theory: pedagogical deepening and extension on the molecular essence of polymer fracture energy. Polym. Bull. (in Chinese), 2026, 39(4), 653–658.
Cui, W.; Huang, H. D.; Liu, Z. Y.; Xiao, M.; Ran, R. The Lake–Thomas theory: pedagogical deepening and extension on the molecular essence of polymer fracture energy. Polym. Bull. (in Chinese), 2026, 39(4), 653–658.DOI: 10.14028/j.cnki.1003-3726.2025.25.306.
The Lake-Thomas Theory: Pedagogical Deepening and Extension on the Molecular Essence of Polymer Fracture Energy
Fracture toughness is a crucial mechanical property of polymer materials
directly determining their load-bearing limits and service lifetimes in practical applications. As one of the most representative classical models in polymer fracture mechanics
the Lake-Thomas theory elucidates the molecular origin of toughness in rubbers and elastomers. Despite its landmark significance in polymer fracture research
this theory has not yet been systematically incorporated into the current teaching of “Polymer Physics”
making it difficult for students to understand macroscopic fracture mechanisms from the perspective of chemical bond energy and molecular structure. Teaching practice shows that after studying the stress-strain behavior of polymers
students exhibit strong curiosity about the molecular mechanism underlying the ultimate fracture. Taking the Lake-Thomas theory as the central theme
this paper systematically reviews its historical development
reconstructs its derivation logic
and explores its application and extended models in complex polymer systems such as double-network hydrogels. Through a teaching case based on rubber-tear experiments
this study demonstrates how adopting an “inventor’s perspective” in the classroom can guide students to understand the energetic essence of molecular chain rupture
thereby deepening their comprehension of polymer fracture behavior
promoting the integration of theoretical knowledge with practical application
and enhancing their analytical and innovative thinking abilities.
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