CURVING OF NORMAL TENSION CRACK PATH IN BRITTLE FRACTURE

2021 ◽  
Vol 57 (4) ◽  
pp. 569-580
Author(s):  
V. D. Kurguzov ◽  
A. G. Demeshkin
Author(s):  
Gennady S. Mishuris ◽  
Leonid I. Slepyan

We consider a brittle fracture taking account of self-equilibrated distributed stresses existing at microlevel in the absence of external forces. To determine how the latter can affect the crack equilibrium and growth, a model of a structured linearly elastic body is introduced, consisting of two equal symmetrically arranged layers (or half-planes) connected by an interface as a prospective crack path. The interface comprises a discrete set of elastic bonds. In the initial state, the bonds are assumed to be stressed in such a way that tensile and compressive forces of the same value alternate. In the general considerations, the layers are assumed to be of an unspecified periodic structure, where such self-equilibrated stresses may also exist. A two-line chain and a lattice are examined as the specified structure. We consider the states of the body-with-a-crack under such microlevel stresses (MS) and under a combined action of the remote forces and MS. Analytical solutions to the considered problems are presented based on the introduction of a selective discrete transform. We demonstrate that MS can increase as well as decrease the crack resistance depending on the internal energy level. We also discuss different scenarios of the crack growth.


2018 ◽  
Vol 13 ◽  
pp. 735-740
Author(s):  
M.R. Ayatollahi ◽  
S.M.J. Razavi ◽  
F. Berto

2020 ◽  
Author(s):  
Vladimir Kurguzov ◽  
Alexander Demeshkin

Author(s):  
Youn D. Ha ◽  
Florin Bobaru

The bond-based peridynamic model is able to capture many of the essential characteristics of dynamic brittle fracture observed in experiments: crack branching, crack-path instability, asymmetries of crack paths, successive branching, secondary cracking at right angles from existing crack surfaces, etc. In this paper we investigate the influence of the stress waves on the crack branching angle and the velocity profile. We observe that crack branching in peridynamics evolves as the phenomenology proposed by the experimental evidence [1]: when a crack reaches a critical stage (macroscopically identified by its stress intensity factor) it splits into two or more branches, each propagating with the same speed as the parent crack, but with a much reduced process zone.


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