Haojie Lian
Taiyuan University of Technology
Computer Aided DesignMathematical optimizationGeologyMathematical analysisFinite element methodComposite materialMesh generationMaterials scienceCADHydraulic fracturingIsogeometric analysisApplied mathematicsShape optimizationLinear elasticityMathematicsComputer scienceFracture (geology)CoalMechanicsBoundary (topology)Boundary element methodDiscretizationFracture toughness
52Publications
13H-index
812Citations
Publications 50
Newest
#1Stéphane Bordas (University of Luxembourg)H-Index: 65
#2Pierre KerfridenH-Index: 21
Last. Danas SutulaH-Index: 5
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#1Haojie Lian (Cardiff University)H-Index: 13
#2Stéphane Bordas (University of Luxembourg)H-Index: 65
#1Haojie Lian (Cardiff University)H-Index: 13
#2Stéphane Bordas (University of Luxembourg)H-Index: 65
Last. Pierre Kerfriden (Cardiff University)H-Index: 21
view all 3 authors...
The present work addresses shape sensitivity analysis and optimization in two-dimensional elasticity with an isogeometric boundary element method. The NURBS which generates geometric models are used as the basis functions to discretize the Boundary Integral Equations. The structural and sensitivity analysis use the regularized form of boundary integral equations, to avoid the difficulty in addressing strong singular integrals and jump terms. For the shape optimization, the control points are use...
1 Citations
#1Robert Napier Simpson (Glas.: University of Glasgow)H-Index: 12
#2Michael A. Scott (BYU: Brigham Young University)H-Index: 27
Last. Haojie Lian (Cardiff University)H-Index: 13
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An isogeometric boundary element method based on T-splines is used to simulate acoustic phenomena. We restrict our developments to low-frequency problems to establish the fundamental properties of the proposed approach. Using T-splines, the computer aided design (CAD) and boundary element analysis are integrated without recourse to geometry clean-up or mesh generation. A regularized Burton–Miller formulation is used resulting in integrals which are at most weakly singular. We employ a collocatio...
142 CitationsSource
#1Haojie Lian (Cardiff University)H-Index: 13
#2Robert Napier Simpson (Cardiff University)H-Index: 12
Last. Stéphane Bordas (University of Luxembourg)H-Index: 65
view all 3 authors...
The focus of this paper is the description and numerical validation of a computational method where stress analysis can be performed directly from computer-aided design data without mesh generation. The clear benefit of the approach is that no mesh needs to be generated prior to running the analysis. This is achieved by utilising the isogeometric concept whereby computer-aided design data are used to construct not only the geometry discretisation but also the displacement and traction approximat...
28 CitationsSource
#1Haojie Lian (Cardiff University)H-Index: 13
#2Robert J. Simpson (Cardiff University)H-Index: 25
Last. Stéphane Bordas (University of Luxembourg)H-Index: 65
view all 3 authors...
This paper applies an isogeometric boundary element method (IGABEM) to sensitivity analysis and shape optimisation for three-dimensional linear elastic analysis. In the present work, analysis-suitable T-splines are adopted for the geometry representation and the basis for analysis (utilising the isogeometric concept) thus providing a direct link between Computer Aided Design (CAD) and analysis. The use of a boundary element method is particularly advantageous in this context, since surface model...
9 Citations
#1Robert Napier Simpson (Cardiff University)H-Index: 12
#2Stéphane Bordas (Cardiff University)H-Index: 65
Last. Jon Trevelyan (Durham University)H-Index: 18
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The concept of isogeometric analysis, whereby the parametric functions that are used to describe CAD geometry are also used to approximate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This paper advances the field further by outlining an isogeometric boundary element Method (IGABEM) that only requires a representation of the geometry of the domain for analysis, fitting neatly with the boundary representation provided completely by CAD. The method circ...
105 CitationsSource
#1Haojie LianH-Index: 13
#2Stéphane BordasH-Index: 65
Last. Robert Napier SimpsonH-Index: 12
view all 4 authors...
For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly alleviate this burden associated with mesh generation. We review in this paper a subset of such methods centred on tighter coupling between computer aided design (CAD) and analysis (finite element or boundary element methods). We focus specifically on frameworks which rely on constructing a discretisation directly from the f...
10 Citations
#1Haojie Lian (Cardiff University)H-Index: 13
#2Robert J. Simpson (Cardiff University)H-Index: 25
Last. Stéphane Bordas (University of Luxembourg)H-Index: 65
view all 3 authors...
#1Haojie Lian (Cardiff University)H-Index: 13
#2Stéphane Bordas (University of Luxembourg)H-Index: 65
Last. Ruben Sevilla (University College of Engineering)H-Index: 16
view all 3 authors...
For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly alleviate this burden associated with mesh generation. We review in this paper a subset of such methods centred on tighter coupling between computer aided design (CAD) and analysis (finite element or boundary element methods). We focus specifically on frameworks which rely on constructing a discretisation directly from the f...
3 Citations