Exact(10)
It is shown that this local variable drives the evolution of the crack phase field.
This can be overcome by a diffusive crack modeling based on the introduction of a crack phase field.
Latter makes the incorporation of second gradients of the crack phase field necessary, which is treated within the finite element context by a nonconforming Morley triangle.
These failure criteria influence the crack driving force, which enters the crack phase field evolution equation and allows to set up a modular structure.
The crack phase field governs a crack density function, which describes the macroscopic crack surface in the polymer per unit of the reference volume.
Here, we propose an extremely robust operator split scheme that successively updates in a typical time step the history field, the crack phase field and finally the displacement field.
Similar(50)
The glass and PVB layers were assumed to act fully compositely during the pre-crack phase of the deformation.
The modifications include topography changes (smoothening or roughing), formation of micro-cracks, phase transformations, deformation hardening, formation of oxides, formation of solid films by reactions with lubricant additives, transfer of material from the counter surface, and so on.
For {1 1 0}〈1 1 0〉 and {1 11}〈1 1 0〉 cracks, phase transformation from the bcc structure to a typical close-packed hexagonal structure is observed accompanying new grain nucleation at the crack tip.
The experimental results show the flexural behaviour in terms of cracking phases and deflection until the failure.
The solid domain is represented by a combined finite/discrete element technique which is capable of modeling progressive cracking and fragmentation and any potential normal and frictional contacts during the cracking and post cracking phases.
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