Peridynamic simulations of brittle structures with thermal residual deformation: strengthening and structural reactivity of glasses under impacts

Abstract

In glass research, the effect and influence of pre-deformation by thermal or chemical treatment is of great importance when configuring different mechanical properties or scratch resistance on the surface of glasses. In particular, such pre-deformation affects dynamic fracture or damage evolution when glass structures are under impact or collision conditions. Peridynamics provides a seamless approach for the simulation of dynamic damage evolution of the system under aggressive environments. Revising the pair interaction of each material point, the effect of pre-deformation is implemented, and the corresponding damage evolution can be simulated conveniently. Our approach is composed of two steps: first, a static solution is found via energy minimization with thermal boundary conditions in the peridynamic platform. Second, comparing the initial and the pre-deformed structures from the energy minimization, the effect of residual deformation, strengthening and reactive behaviour of brittle structures are seamlessly simulated. The developed methods are applied to the Prince Rupert’s drop and Bologna vial, which are classic examples of strengthened glasses. This study reports the first complete and successful simulation of dynamic behaviour of strengthened glasses, and a significant contribution in simulating residual stress behaviour in any material.

The Bond-Slip Relationship at FRP-to-Brick Interfaces under Dynamic Loading

“…A detailed description of this can be found in the relevant literature [ 44 ]. Scaled fracture energy is noted to affect the crack speed in some studies [ 50 ] because no damping and no friction is included in the interactions between damaged material points. However, the damage results are not affected by the mesh size [ 51 ].…”

Investigation of microscale fracture mechanisms in glass–ceramics using peridynamics simulations

“…24 The current work uses peridynamics, a non-local theory of continuum mechanics to investigate microstructural mechanisms of toughening. 25 Although peridynamics has been applied in the past to study glass and ceramic fracture at the macroscale, [26][27][28][29] the application to microscale simulations has been limited. Some work has been done on polycrystalline brittle materials, [30][31][32][33] carbon fiber composites, [34][35][36][37] nanocomposites, [38][39][40][41][42] metal matrix composites, 43,44 and polycrystalline metals.…”

Tuning the mechanical toughness of the metal nanoparticle‐implanted glass: The effect of nanoparticle growth conditions

“…Peridynamics simulation 23,24 is a macroscale numerical method used to evaluate damage in brittle materials such as window glass. [25][26][27][28] It was used to confirm our hypothesis that the lower "effective" modulus results in a higher resistance against crack initiation.…”

“…Numerical studies by means of molecular dynamics (MD) 21,22 have examined the mechanical properties of the composite glass and indicated that the metal nanoparticles decrease the elastic modulus by increased ductility due to the lower yield strength and higher plasticity. Peridynamics simulation 23,24 is a macroscale numerical method used to evaluate damage in brittle materials such as window glass 25‐28 . It was used to confirm our hypothesis that the lower “effective” modulus results in a higher resistance against crack initiation.…”