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A simple mesh modification method considering the avoidance of topological singularities is developed and combined with the proposed GPU-accelerated FEM framework.
A fracture is represented by removing tetrahedrons using a novel mesh modification algorithm in order to retain the manifold property of a tetrahedral mesh.
The algorithm is based on a very simple mesh modification strategy that allows the smooth evolution of mesh nodes to track interfaces.
By this method, any number of fractures can be implicitly incorporated into the background mesh, avoiding the setup of fracture element and mesh modification.
The originality of the method relies on (i) a metric-based static load-balancing, (ii) hierarchical mesh partitioning techniques to (re)split the (complex) interfaces meshes, (iii) a fast, robust and generic sequential cavity-based mesh modification kernel.
We contribute a set of local, topology preserving Zome mesh modification operators enabling the efficient exploration of the space of 2-manifold Zome models around a given input shape.
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The meshes are generated using anisotropic mesh adaptation based on local mesh modifications and we extent these modifications to preserve the information required for interpolating the design variables between meshes.
This new interpretation allows one to describe all mesh modifications within the arbitrary Lagrangian Eulerian framework, thus removing the need to interpolate the solution across computational meshes with different connectivity.
A favourable type I/III collagen ratio is known to improve biocompatibility and can be positively influenced by preimplantation mesh modifications, for instance, gentamicin coating [ 18].
There are only a few groups who have investigated polypropylene mesh modifications by surface coating with collagen, titanium, or absorbable polymers in animal and in vitro studies [ 11, 12, 23, 24].
With these methods, it is impossible to launch a route disruption and diversion attack that caused by the malicious behavior of a mesh router through modification of a mutable field and dropping routing information.
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