Fracture of solids is considered from the viewpoint of wave dynamics derived from a field theory. Based on the principle known as the symmetry of physical laws, the present field theory describes deformation and fracture on the same theoretical basis. From experimental observations, fracture is classified into two types; the first type characterized by decaying displacement waves that initially travel and eventually become stationary, and the second type characterized by shear-bands that are initially dynamic and eventually become stationary. The field theory interprets that the decaying displacement wave represents elasto-plastic deformation dynamics and that the shear band indicates solitary wave dynamics associated with strain concentration. In either case, the theory explains that the termination of wave propagation causes infinite volume expansion that generates material discontinuity. From the wave dynamical viewpoint, fracture is a self-driving phenomenon where the decrease in the elastic constant in a late stage of deformation induces instability in oscillatory dynamics which leads to exponential increase in the volume expansion with time. The theory indicates that in this mechanism fast pulling rate enhances the instability. Simple numerical analysis with finite element modeling supports this argument of instability and its association with the pulling rate.
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25 October 2018
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’18
20–25 June 2018
Albena, Bulgaria
Research Article|
October 25 2018
Fracture of solids based on deformation wave dynamics
S. Yoshida;
S. Yoshida
a)
Department of Chemistry and Physics, Southeastern Louisiana University
, Hammond, LA 70402, USA
a)Corresponding author: [email protected]
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C. McGibboney
C. McGibboney
b)
Department of Chemistry and Physics, Southeastern Louisiana University
, Hammond, LA 70402, USA
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a)Corresponding author: [email protected]
AIP Conf. Proc. 2025, 070008 (2018)
Citation
S. Yoshida, C. McGibboney; Fracture of solids based on deformation wave dynamics. AIP Conf. Proc. 25 October 2018; 2025 (1): 070008. https://doi.org/10.1063/1.5064920
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