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 modeling crack growth in isotropic and orthotropic media. The discontinuity and singularity of displacements and stresses induced by cracks are locally captured by special enrichment functions, for both isotropic and orthotropic media. This allows the representation of crack to be independent of the computational mesh and avoids the requirement for re-meshing in crack growth simulation. The numerical integration accuracy is improved with the use of the almost-polar integration and sub-triangle technique for the crack-tip and cut elements, respectively. The posteriori error estimator based on Zienkiewicz–Zhu error estimation is employed to define refinement domains, and thereby, drives the adaptivity. On the other hand, the maximum circumferential stress criterion is adopted to determine the direction of crack growth. Several crack growth numerical examples for both isotropic and orthotropic media are studied in different scenarios to show the performance and accuracy of the developed approach. Numerical results reveal that the present approach integrated with the adaptive local refinement scheme offers higher accuracy and convergence rate than the standard XIGA. Furthermore, the adaptive XIGA in a tandem with Nitche’s method is applied to simulate the crack growth of complicated structures. We additionally explore the effects of some numerical aspects or factors on crack path. Smaller crack growth increment could be used to improve the accuracy of crack path within a finer mesh in the adaptive XIGA.
Abstract A second gradient theory for woven fabrics is applied to Kirchhoff–Love shell elements to analyze the mechanics of fiber reinforced composite materials. In particular, we assume a continuous distribution of the fibers embedded into the shell surface, accounting for additional in-plane flexural resistances within the hyperelastic regime. For the finite element discretization we apply isogeometric methods, i.e. we make use of B-splines as basis functions omitting the usage of mixed approa...
Last. Elena Atroshchenko(UNSW: University of New South Wales)H-Index: 11
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Abstract In this work, we present an eXtended Geometry Independent Field approximaTion (X–GIFT) formulation for cracked Kirchhoff–Love plates. The plate geometry is modeled by Non-Uniform Rational B-Splines (NURBS) while the solution is approximated by Polynomial Splines over Hierarchical T-meshes (PHT-splines) and enriched by the Heaviside function and crack tip asymptotic expansions. The adaptive refinement is driven by a recovery-based error estimator. The formulation is employed for bending ...
Last. Kun Zhou(NTU: Nanyang Technological University)H-Index: 63
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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...
Abstract A simple, yet powerful, new technique based on Artificial Neural Network (ANN) combined with Particle Swarm Optimization (PSO) for damage quantification in laminated composite plates using Cornwell indicator (CI) is proposed. The analysis is performed in two stages. In the first stage, IsoGeometric Analysis (IGA) is formulated for square laminated composite plates having three layers [ 0 ° / 90 ° / 0 ° ] . In the second stage, IGA model is coupled with PSO for damage quantification usin...
Abstract In this article, a refined modified couple stress theory based on isogeomeric analysis to capture the small-scale effect on laminated composite micro-plates is developed for the first time. Based on Hamilton's principle, the weak form for composite plate is established by using the Reddy's third order shear deformation theory without shear correction factor and the refined modified couple stress theory. Unlike the modified couple stress theory, which contains only one material length sc...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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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-...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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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 ...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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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...
Last. M. Abdel-Wahab(Ton Duc Thang University)H-Index: 11
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Abstract In this article, we present for the first time a research analysis for the size-dependent effects on thermal buckling and post-buckling behaviors of functionally graded material micro-plates with porosities (imperfect FGM) using isogeometric analysis. A seventh-order shear deformation plate theory associated with the modified couple stress theory (MCST) is particularly imposed to capture the size-dependent phenomenon within imperfect FGM micro-plates. The material properties of imperfec...
#1H.S. Yang(BIT: Beijing Institute of Technology)H-Index: 3
#1H.S. Yang(BIT: Beijing Institute of Technology)H-Index: 2
Last. Chunying Dong(BIT: Beijing Institute of Technology)H-Index: 19
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Abstract In this paper, a posteriori error estimation and mesh adaptation approach for thin plate and shell structures of through-the-thickness crack is presented. This method uses the extended isogeometric analysis (XIGA) based on PHT-splines (Polynomial splines over Hierarchical T-meshes), which is abbreviated as XIGA-PHT. In XIGA-PHT, the isogeometric displacement approximation is locally enriched with enrichment functions, which efficiently capture the displacement discontinuity across the c...
Abstract The thermo-elastic analysis of thermally induced crack in functionally graded materials (FGMs) is performed using extended isogeometric analysis (XIGA). For the study, two types of cracks, i.e., adiabatic and isothermal, are considered in the FGM body. The suitable enrichment functions are employed to capture the discontinuity (i.e., displacements and temperature) along the crack face and singular fields around the crack tip. The material property gradation in FGM (composed of aluminum ...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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This paper is devoted to numerical investigations on mechanical behavior of cracked composite functionally graded (FG) plates. We thus develop an efficient adaptive approach in terms of the extended isogeometric analysis (XIGA) enhanced by locally refined non-uniform rational B-spline (LR NURBS) for natural frequency and buckling analysis of cracked FG Mindlin–Reissner plates. In this setting, the crack geometries, which are described by the level sets, are independent of the computational mesh;...
Abstract This paper discusses the thermal fracture analysis of anisotropic materials under thermal shock based on the classic theory of thermoelasticity in the framework of the Extended Finite Element Method (XFEM). A new set of tip enrichment functions for the temperature field in anisotropic materials is proposed. To this end, an analytical solution for the temperature distribution around an insulated crack in an anisotropic medium under uniform heat flux is extracted using the complex variabl...
#1Farrukh Mazhar(National University of Sciences and Technology)H-Index: 4
#2Ali Javed(National University of Sciences and Technology)H-Index: 5
Last. Kamran Asim(National University of Sciences and Technology)
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Abstract This paper presents a review of recent progress made towards the applications of the meshfree particle methods (MPMs) for solving coupled fluid-structure interaction (FSI) problems. Meshfree methods are categorized based on their mathematical formulation and treatment of computational data points. The advantages and limitations of these methods, particularly related to FSI applications, have been identified. A detailed account of salient work related to the FSI problems involving comple...
#1Xianda Xie(HUST: Huazhong University of Science and Technology)H-Index: 5
#2Aodi Yang(HUST: Huazhong University of Science and Technology)
Last. Shuting Wang(HUST: Huazhong University of Science and Technology)H-Index: 6
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Abstract In this work, we propose a topology optimization (TO) method using fully adaptive truncated hierarchical B-splines (ATHB-TO), where the adaptive isogeometric analysis mesh and design mesh of ATHB-TO are locally refined and coarsened simultaneously. To meet the demands of full-mesh adaptivity of ATHB-TO, a marking strategy is established based on density variances between adjacent active elements. Then, an adaptive formulation for the mark strategy is proposed to avoid the overrefinement...
Abstract In the present study, by using IGA (isogeometric analysis) method, the nonlinear bending and instability behavior of cylindrical composite shells embedded with GPLs (graphene platelets) having functional gradation is investigated. In IGA, NURBS functions are employed both to construct the geometry and to approximate the field variables. Advantages of adopting IGA include: the exact geometrical description, high accuracy and efficacy, higher-order smoothness. The nonlinear equations of e...
This work is focused to investigate the effect of various discontinuities like cracks, inclusions and voids for an orthotropic plate, to evaluate the normalized mixed-mode stress intensity factors ...
#1J.W. Zhao(HEBUT: Hebei University of Technology)H-Index: 1
#2S.Z. Feng(HEBUT: Hebei University of Technology)H-Index: 1
Last. Zhixiong Li(Ocean University of China)H-Index: 50
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Abstract Based on low-order elements, a stable node-based smoothed extended finite element method (SNS-XFEM) is proposed for fracture analysis of structures in this study. For the proposed method, the problem domain is discretized using low-order elements, which can be easily generated for structures with complex shapes. The node-based smoothing domains are then generated to perform the strain smoothing technique, which can effectively avoid singular integration. The discontinuity caused by crac...
Abstract Shear crack or sliding contact within or between orthotropic composites contains innovative local solutions in terms of stress singularity, which are concentrated in this study. For this purpose, a finite element asymptotic expansion is proposed, which extracts the singular point solution for different frictional crack or contact problems in orthotropic composite design. The investigations illustrate the fact that many situations in orthotropic fracture and contact mechanics deal with s...
#1Azher Jameel(Islamic University of Science and Technology)H-Index: 4
#2G.A. Harmain(National Institute of Technology, Srinagar)H-Index: 7
In the recent years, isogeometric analysis (IGA) has found wide application in modeling different types of discontinuities produced by cracks, contact surfaces and bi-material interfaces. This tech...