Weidong Li
Nanyang Technological University
CouplingElasticity (economics)Parametric statisticsSeries (mathematics)Adaptive mesh refinementMathematical analysisComposite materialMeshfree methodsDomain (software engineering)Contact mechanicsBoundary value problemIsotropyGalerkin methodField (physics)Materials scienceVibrationCollocation methodExtended finite element methodDiscontinuity (linguistics)Limit analysisCollocationMoving least squaresIsogeometric analysisShell (structure)Limit loadApplied mathematicsBrittle fractureRotational degrees of freedomPolycrystalline materialGeometrically nonlinearStress distributionPolygon meshComputer scienceFracture (geology)Phase (matter)Displacement (vector)Rate of convergenceFracture mechanicsBasis functionConvergence (routing)Differential equationAnisotropyRobustness (computer science)
9Publications
6H-index
92Citations
Publications 8
Newest
Abstract Due to its ability to simulate complex microstructure evolution, the phase-field modeling has been extensively developed to investigate brittle fracture in recent years. However, low computational efficiency still imposes substantial difficulties in the development of phase-field models. In this work, we develop a novel adaptive phase-field approach based on the isogeometric meshfree collocation method (IMCM) to simulate the crack propagation in 2D and 3D polycrystalline materials. The ...
1 CitationsSource
#1Weidong Li (NTU: Nanyang Technological University)H-Index: 6
#2Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 3 authors...
1 CitationsSource
#1Jiazhao Huang (NTU: Nanyang Technological University)H-Index: 5
#2Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 4 authors...
Abstract An adaptive isogeometric-meshfree (AIMF) coupling approach is proposed to predict the limit load factors of cracked structures. The concept of the present approach, which relies on forming an equivalence between the isogeometric analysis (IGA) and moving least-squares meshfree method, is developed based on the reproducing conditions, resulting in a unified formulation of the basis functions. Thereby, the refinement of IGA can be implemented in a straightforward meshfree manner for limit...
1 CitationsSource
#1Weidong Li (NTU: Nanyang Technological University)H-Index: 6
#2Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 3 authors...
Abstract A strong form-based isogeometric-meshfree moving least-squares collocation (IMMLS-C) approach is developed for two-dimensional linear elastic fracture problems with contact loading. The IMMLS-C approach uses reproducing conditions to establish an equivalence between MLS shape functions and isogeometric basis functions. The advantages of this approach include the exact geometry representation, convenient crack modeling and flexible adaptive refinement. The IMMLS-C approach focuses on sol...
5 CitationsSource
#1Weidong Li (NTU: Nanyang Technological University)H-Index: 6
#2Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 4 authors...
Abstract This paper reports an isogeometric-meshfree moving least-squares approach for the adaptive analysis of crack propagation in thin-shell structures within the context of linear elastic fracture mechanics. The present approach is developed based on the equivalence of the moving least-squares meshfree shape functions and the isogeometric basis functions, which provides an effective strategy of adaptive mesh refinement for isogeometric analysis (IGA) in a straightforward meshfree manner. The...
11 CitationsSource
#1Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
#2Weidong Li (NTU: Nanyang Technological University)H-Index: 6
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 5 authors...
10 CitationsSource
#1Weidong Li (NTU: Nanyang Technological University)H-Index: 6
#2Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 3 authors...
Abstract This paper develops a novel coupling approach of the isogeometric analysis (IGA) method and the meshfree method for geometrically nonlinear analysis of thin-shell structures. The Kirchhoff–Love (KL) thin-shell theory is employed without the consideration of rotational degrees of freedom. Both parametric domain and physical domain are utilized for the thin-shell structures, and the former one is used to couple the IGA and meshfree methods and to obtain the later one via mapping. The doma...
27 CitationsSource
#1Nhon Nguyen-Thanh (NTU: Nanyang Technological University)H-Index: 21
#2Weidong Li (NTU: Nanyang Technological University)H-Index: 6
Last. Kun Zhou (NTU: Nanyang Technological University)H-Index: 63
view all 3 authors...
This paper develops a coupling approach which integrates the meshfree method and isogeometric analysis (IGA) for static and free-vibration analyses of cracks in thin-shell structures. In this approach, the domain surrounding the cracks is represented by the meshfree method while the rest domain is meshed by IGA. The present approach is capable of preserving geometry exactness and high continuity of IGA. The local refinement is achieved by adding the nodes along the background cells in the meshfr...
22 CitationsSource