https://nottingham-repository.worktribe.com/preview/855445/CAS_paper_accepted.pdf

Recurrent neural networks and proper orthogonal decomposition with interval data for real-time predictions of mechanised tunnelling processes

We propose a method to couple a three-dimensional continuum domain to a molecular dynamics (MD) domain to simulate propagating cracks in dynamics. The continuum domain is treated by an extended finite element method, to handle the discontinuities. The coupling is based on the Bridging Domain Method (BDM) which blends the continuum and atomistic energies. The Lennard-Jones potential is used to model the interactions in the atomistic domain and the Cauchy-Born rule is used to compute the material behaviour in the continuum domain. To our knowledge, it is the first time that a three dimensional extended bridging domain method is reported. To show the suitability of the proposed method, a three-dimensional crack problem with an atomistic region around the crack front is solved. The results show that the method is capable of handling crack propagation and dislocation nucleation.

/pdf/molecular-dynamics-xfem-coupling-by-a-three-dimensional-53yac8t4ih.pdf

Molecular dynamics/xfem coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture

This paper proposes a novel technique to reduce the computational burden associated with the simulation of localized failure. The proposed methodology affords the simulation of damage initiation and propagation while concentrating the computational effort where it is most needed, that is, in the localization zones. To do so, a local/global technique is devised where the global (slave) problem (far from the zones undergoing severe damage and cracking) is solved for in a reduced space computed by the classical proper orthogonal decomposition while the local (master) degrees of freedom (associated with the part of the structure where most of the damage is taking place) are fully resolved. Both domains are coupled through a local/global technique. This method circumvents the difficulties associated with model order reduction for the simulation of highly nonlinear mechanical failure and offers an alternative or complementary approach to the development of multiscale fracture simulators.

/pdf/local-global-model-order-reduction-strategy-for-the-1gdl6ft1ye.pdf

Local/global model order reduction strategy for the simulation of quasi-brittle fracture

Evaluation of the generality and accuracy of a new mesh morphing procedure for the human femur

This paper proposes a novel technique to reduce the computational burden associated with the simulation of localised failure. The proposed methodology affords the simulation of damage initiation and propagation whilst concentrating the computational effort where it is most needed, i.e. in the localisation zones. To do so, a local/global technique is devised where the global (slave) problem (far from the zones undergoing severe damage and cracking) is solved for in a reduced space computed by the classical Proper Orthogonal Decomposition, while the local (master) degrees of freedom (associated with the part of the structure where most of the damage is taking place) are fully resolved. Both domains are coupled through a local/global technique. This method circumvents the difficulties associated with model order reduction for the simulation of highly non-linear mechanical failure and offers an alternative or complementary approach to the development of multiscale fracture simulators.

A global model reduction approach for 3D fatigue crack growth with confined plasticity

In this paper we present a fast and efficient method for generating a patient-specific femur mesh by morphing a template femur mesh of ten-node tetrahedral elements on a geometry represented in STL format (STL: Surface Tessellation Language). The morphing is constrained through a set of user defined anatomical landmark points. Our method splits the input geometries into open surfaces, and maps each surface individually on a planar parameterization. We morph the parameterizations individually using a regression model based on Radial Basis Functions (RBFs). In experiments our method shows precise results in generating new patient-specific meshes from existing models and in re-meshing.

Fast 3D mesh generation of femur based on planar parameterization and morphing

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A global model reduction approach for 3D fatigue crack growth with confined plasticity

Fast 3D mesh generation of femur based on planar parameterization and morphing