Jiming Gu
Hohai University
CouplingAlgorithmLevel setSeries (mathematics)Elasticity (physics)Numerical integrationOrthotropic materialMathematical analysisFinite element methodClassification of discontinuitiesComposite materialSingularityPlate theoryIsotropyEstimatorMaterials scienceElasticity (data store)Discontinuity (linguistics)Stress fieldContext (language use)Isogeometric analysisApplied mathematicsMathematicsComputer scienceFracture (geology)Computer simulationDisplacement (vector)Stress intensity factorRate of convergenceFracture mechanicsBasis functionA priori and a posterioriHeaviside step function
7Publications
7H-index
138Citations
Publications 7
Newest
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 6 authors...
Abstract Reliable prediction and thorough understanding of crack growth in engineering materials and structures are of challenging problems, but scientific and technical community has been continuously pursuing an efficient numerical approach to crack propagation simulation. We present in this paper a significant extension and development of the adaptive extended isogeometric analysis (XIGA) based on LR B-splines (locally refined B-splines), which facilitates the local refinement, for accurately...
9 CitationsSource
#1Tiantang Yu (Hohai University)H-Index: 32
#2Hongting Yuan (Hohai University)H-Index: 2
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 5 authors...
Abstract This paper presents an error-controlled adaptive extended isogeometric analysis (XIGA) for assessment of fracture behavior for through-cracked Mindlin-Reissner plates. The locally refined (LR) B-splines that facilitate the local refinement are used as the basis functions for the approximations, while the kinematics of plates are described in terms of the Mindlin-Reissner plate theory. Appropriate enrichment functions for cracked plates are incorporated into the formulation to represent ...
9 CitationsSource
#1Xin Chen (Hohai University)H-Index: 1
#2Jiming Gu (Hohai University)H-Index: 7
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 5 authors...
Abstract We present in this paper an efficient computational approach based on an adaptive extended isogeometric analysis (XIGA) for simulation of arbitrary holes in orthotropic materials. The interfaces of holes are described by multiple level set functions so that the developed XIGA can capture the hole geometry without considering its interfaces. The approach is further enhanced by using the locally refined (LR) B-spline basis functions, which dominate over B-spline or non-uniform rational B-...
11 CitationsSource
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 6 authors...
Abstract This paper is concerned with the numerical investigation of fracture mechanics parameters for cracked orthotropic composite structures by using an efficient computational approach. The adaptive extended isogeometric analysis (XIGA) based on locally refined (LR) B-splines is thus developed. This adaptive XIGA is enhanced by both signed-distance and orthotropic crack-tip enrichment functions to represent strong discontinuity and singularity induced by crack, respectively. In addition, to ...
13 CitationsSource
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 6 authors...
Abstract This paper aims at investigating fracture behavior of single and multiple cracks in two-dimensional solids by an adaptive extended isogeometric analysis (XIGA) based on locally refined (LR) B-splines. The adaptive XIGA is capable of modeling cracks without considering the location of crack faces due to the local enrichment technique based on partition-of-unity concept. The XIGA approximation is locally enriched by Heaviside function and crack tip enrichment functions to capture the disc...
15 CitationsSource
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 6 authors...
Abstract In this paper, we present an effective computational approach that combines an adaptive extended isogeometric analysis (XIGA) method with locally refined (LR) B-splines and level set methods for modeling multiple inclusions in two-dimensional (2D) elasticity problems. The advantage of XIGA is to model inclusions without considering internal inclusion interfaces by additional functions. Multiple level set functions are used to represent the location of inclusion interfaces and to define ...
34 CitationsSource
#1Jiming Gu (Hohai University)H-Index: 7
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 5 authors...
Abstract We present an effective adaptive analysis procedure in terms of isogeometric analysis (IGA) based on locally refined (LR) B-splines for two-dimensional elasticity problems. One major advantage of the adopted LR B-splines over B-splines and non-uniform rational B-splines (NURBS) is the local refinement, which makes it highly suitable for adaptive analysis. The Zienkiewicz–Zhu estimation is used on error estimator based local refinement. The local refinement is implemented by the structur...
41 CitationsSource