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Three-dimensional fracture propagation with numerical manifold method
By introducing the concept of mathematical cover and physical cover, the numerical
manifold method (NMM) is able to solve continuous and discontinuous problems in a unified …
manifold method (NMM) is able to solve continuous and discontinuous problems in a unified …
Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling
A crack propagation modelling technique combining the scaled boundary finite element
method and quadtree meshes is developed. This technique automatically satisfies the …
method and quadtree meshes is developed. This technique automatically satisfies the …
A brief review on polygonal/polyhedral finite element methods
This paper provides brief review on polygonal/polyhedral finite elements. Various
techniques, together with their advantages and disadvantages, are listed. A comparison of …
techniques, together with their advantages and disadvantages, are listed. A comparison of …
A three-dimensional collocation finite element method for higher-order electromechanical coupling
Flexoelectricity is a fundamental property found in all nano/micro-scale dielectric materials,
even those with centrosymmetry. It describes coupling between electric field and nonuniform …
even those with centrosymmetry. It describes coupling between electric field and nonuniform …
Arbitrary polygon-based CSFEM-PFCZM for quasi-brittle fracture of concrete
In recent years, engineering and research communities have shown a growing interest in
polygon elements due to their adaptability to complex geometries. However, their …
polygon elements due to their adaptability to complex geometries. However, their …
A phase-field cohesive zone model integrated with cell-based smoothed finite element method for quasi-brittle fracture simulations of concrete at mesoscale
In this work, a phase field cohesive zone model (PFCZM) combined with the cell-based
smoothed finite element method (CSFEM) is presented to investigate the quasi-brittle …
smoothed finite element method (CSFEM) is presented to investigate the quasi-brittle …
Linear smoothed polygonal and polyhedral finite elements
The strain smoothing technique over higher order elements and arbitrary polytopes yields
less accurate solutions than other techniques such as the conventional polygonal finite …
less accurate solutions than other techniques such as the conventional polygonal finite …
A novel nonlinear solution for the polygon scaled boundary finite element method and its application to geotechnical structures
The polygon scaled boundary finite element method is semi-analytical and known for its
high precision. However, the material nonlinearity cannot be maintained because this …
high precision. However, the material nonlinearity cannot be maintained because this …
Isogeometric analysis enhanced by the scaled boundary finite element method
By leveraging the information of a typical CAD model in the analysis, the intensive process
of discretization can be circumvented. This unification has led to the 'Isogeometric …
of discretization can be circumvented. This unification has led to the 'Isogeometric …
A polytree-based adaptive polygonal finite element method for multi-material topology optimization
This study presents a polytree-based adaptive methodology for multi-material topology
optimization (MMTOP). Polytree data structure is introduced as a general recursive multi …
optimization (MMTOP). Polytree data structure is introduced as a general recursive multi …