Dynamic fracture surface energy values and branching instabilities during rapid crack propagation in rubber toughened PMMA

Author(s):  
Christophe Fond ◽  
Robert Schirrer
2002 ◽  
Vol 66 (11) ◽  
pp. 1116-1121
Author(s):  
Hiromoto Kitahara ◽  
Yasuhiro Yoshikawa ◽  
Fuyuki Yoshida ◽  
Hideharu Nakashima ◽  
Kazuo Hamashima ◽  
...  

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Antoinette Tordesillas ◽  
Sanath Kahagalage ◽  
Charl Ras ◽  
Michał Nitka ◽  
Jacek Tejchman

AbstractHeterogeneous quasibrittle composites like concrete, ceramics and rocks comprise grains held together by bonds. The question on whether or not the path of the crack that leads to failure can be predicted from known microstructural features, viz. bond connectivity, size, fracture surface energy and strength, remains open. Many fracture criteria exist. The most widely used are based on a postulated stress and/or energy extremal. Since force and energy share common transmission paths, their flow bottleneck may be the precursory failure mechanism to reconcile these optimality criteria in one unified framework. We explore this in the framework of network flow theory, using microstructural data from 3D discrete element models of concrete under uniaxial tension. We find the force and energy bottlenecks emerge in the same path and provide an early and accurate prediction of the ultimate macrocrack path $${\mathcal {C}}$$ C . Relative to all feasible crack paths, the Griffith’s fracture surface energy and the Francfort–Marigo energy functional are minimum in $${\mathcal {C}}$$ C ; likewise for the critical strain energy density if bonds are uniformly sized. Redundancies in transmission paths govern prefailure dynamics, and predispose $${\mathcal {C}}$$ C to cascading failure during which the concomitant energy release rate and normal (Rankine) stress become maximum along $${\mathcal {C}}$$ C .


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