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 improve the integration accuracy, the ‘sub-triangle’ and ‘almost polar’ techniques are adopted for the cut and crack tip elements, respectively. For adaptivity, the smoothed stress field is achieved to develop the posteriori error estimator based local refinement, according to the Zienkiewicz–Zhu estimation. Such posteriori error estimator is then used to determine refinement domains, where the local refinement takes place. The proposed approach is applied for fracture analyses of orthotropic composites, in which the stress intensity factors (SIFs) are evaluated using the contour interaction integral technique. The accuracy of the proposed adaptive orthotropic XIGA is validated through a comparison of SIFs obtained from the proposed method and the available reference solutions. Furthermore, numerical results show that the convergence rate of the adaptive local refinement is faster than that of the global refinement approach.
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. Daining Fang(SCUT: South China University of Technology)H-Index: 64
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Abstract This paper presents a unified theory of yield and failure criteria for unidirectional polymer-matrix composites (UD PMCs). This interactive unified theory considers the effect of normal stress on the shear strength by introducing a coupling term ( q 3 σ 22 | τ 21 | ). The coefficient q 3 of the coupling term is an empirical value and equals to 0.2. The predictions of the unified theory are well agreeable with present and existing experiments. Furthermore, Tao theory has been improved by...
Abstract The main objective of this paper is to develop a novel multiscale approach for simulating static and stationary dynamic crack problems in two-dimensional elastic solids through an extended isogeometric analysis using the Non-Uniform Rational B-Splines (NURBS). This multiscale strategy consists of two techniques that the Nitsche’s method is applied for coupling different length-scales meshes on one hand, and on the other hand, a local enrichment technique is taken to describe the cracks ...
Last. Zhixian Lu(NPU: Northwestern Polytechnical University)H-Index: 3
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Abstract Step topology adhesively bonded structure is preferable applied in composite repairs and joints of primary load-bearing structure. The failure mechanism and responses under low velocity impact are still not expressly revealed. A series of experiments for impact are conducted. Responses of impact contact load, deflection, absorbed energy and speed were tested. A critical impact energy of adhesive damage and residual strength was found. Above the energy level, tension capability after imp...
#1Minh N. Nguyen(VNUHCM-UT: Ho Chi Minh City University of Technology)H-Index: 29
#2Nha Thanh Nguyen(VNUHCM-UT: Ho Chi Minh City University of Technology)H-Index: 5
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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Abstract A numerical study of thermal-mechanical crack growth in orthotropic composite materials by the recently developed extended nodal gradient finite element method is presented. The extended four-node consecutive-interpolation quadrilateral element (XCQ4) used in this work is the conventional four-node quadrilateral element, but it is enhanced by additional terms of averaged nodal gradients to smoothen the derivative fields and increase the accuracy of solution, while keeping the same total...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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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 ...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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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...
Abstract In this work, an extended isogeometric analysis (XIGA) is used for the analysis of through-thickness crack in a homogeneous and isotropic plate. In isogeometric analysis (IGA), non-uniform rational B-splines (NURBS) are used as a basis function. The plate kinematics is modelled by Reddy’s higher-order shear deformation theory (HSDT). The C 1 continuity requirement of HSDT can be easily fulfilled by the NURBS basis functions. In order to obtain the plate fracture parameters (moment inten...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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Failure of structures and their components is one of major problems in engineering. Studies on mechanical behavior of functionally graded (FG) microplates with defects or cracks by effective numerical methods are rarely reported in literature. In this paper, an effective numerical model is derived based on extended isogeometric analysis (XIGA) for assessment of vibration and buckling of FG microplates with cracks. Based on the modified couple stress theory, the non-classical theory of Reissner–M...
Abstract In this paper, a new effective approach based on conservative integral approach associated with extended finite element method (XFEM) is developed for evaluating stress intensity factors (SIFs) of bi-material V-notched structures. The XFEM model for bi-material V-notches is established, which owns various features: (a) jump enrichment functions are taken for describing the intersection of notch-faces; (b) eight (real eigenvalue) or sixteen (complex eigenvalue) branch functions are emplo...
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 ...
#1Wenbin Hou(DUT: Dalian University of Technology)H-Index: 10
#2Kai Jiang(DUT: Dalian University of Technology)H-Index: 1
Last. Ping Hu(DUT: Dalian University of Technology)H-Index: 21
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Abstract Strong imposing Dirichlet boundary conditions remain a challenge for eXtended Finite Element Methods (XFEMs) or eXtended Isogeometric Analysis (XIGA) of discontinuous problems. Moreover, the physical meaning of the additional Degrees of Freedom (DOFs) in the displacement expression of XFEMs or XIGA is not clarified. To address these issues, we proposed a new method that combines XIGA and B++ splines for modeling the fracture behaviors of single and multiple cracks in 2D elasticity solid...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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Abstract The objective of this article is to simulate crack growth of complex Mindlin–Reissner plates by developing an adaptive multi-patch extended isogeometric analysis (XIGA). Nitsche’s method is used to treat continuity between multi-patches or the coupling of non-conforming meshes, exactly describing the geometry of complex plates. The computational meshes in XIGA are independent of the cracks by introducing some enrichment functions into the displacement approximation based on the partitio...
#1Hongjun Yu(HIT: Harbin Institute of Technology)H-Index: 15
#2Meinhard Kuna(Freiberg University of Mining and Technology)H-Index: 31
Abstract A critical overview of past research on the interaction integral (I-integral) method is presented. The I-integral is the two-state mutual energy release rate decided by a designable auxiliary field and the actual field. Due to the designability of the auxiliary field, the I-integral has been used extensively in extracting the individual stress intensity factors (SIFs) and the T-stress of a crack in single materials or at a bi-material interface. The practical implementation of the I-int...
#1Vikas Kaushik(IIT-KGP: Indian Institute of Technology Kharagpur)H-Index: 6
#1Vikas Kaushik(IIT-KGP: Indian Institute of Technology Kharagpur)H-Index: 3
Last. Anup Ghosh(IIT-KGP: Indian Institute of Technology Kharagpur)H-Index: 7
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Abstract An investigation of interfacial fracture modelling of carbon fibre reinforced plastic (CFRP) laminates at the atmosphere similar to the cruise condition of an aircraft has been carried out in this article. The Mode I & Mode II fracture tests are carried out using specimen of aerospace grade composite (AS4/914) at − 55 0 C . Compliance based methods for estimation of crack growth have been adopted for monitoring during the fracture tests. A new set of thermally influenced interfacial fra...
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...
#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...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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Abstract This paper is devoted to numerical investigation of holes/voids effects on crack growth in solids using a locally refined (LR) B-splines extended isogeometric analysis (XIGA). We particularly focus our attention on crack-hole interaction analysis. Special enrichment functions captured discontinuity and singularity are used, by which the computational mesh are thus independent of both cracks and holes, eliminating re-meshing when modeling crack growth. Geometries of arbitrary shaped crac...
Last. Tinh Quoc Bui(TITech: Tokyo Institute of Technology)H-Index: 54
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Abstract Limit analysis, without the complicated elasto-plastic computation, is an efficient method for estimating safety load of engineering structures. This paper develops a novel computational approach by integrating second-order cone programming (SOCP) into adaptive extended isogemetric elements (XIGA) for upper-bound limit analysis of cracked structures. The advantage of XIGA is to model cracks without considering the location of crack faces by introducing enrichment functions. The local re...
#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...