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Journal articles on the topic 'Dual Boundary Element Method (DBEM)'

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Published: 10 March 2023

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1

Zou, F., Ivano Benedetti, and Ferri M. H. Aliabadi. "Dual Boundary Element Model of 3D Piezoelectric Smart Structures." Key Engineering Materials 754 (September 2017): 363–66. http://dx.doi.org/10.4028/www.scientific.net/kem.754.363.

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In this paper, the application of the dual boundary element method (DBEM) in the field of structural health monitoring (SHM) is explored. The model involves a 3D host structure, which is formulated by the DBEM in the Laplace domain, and 3D piezoelectric transducers, whose finite element model is derived from the electro-mechanical behaviour of piezoelectricity. The piezoelectric transducers and the host structure are coupled together via BEM variables. The practicability of this method in active sensing applications is demonstrated through comparisons with established FEM and parametric studies.

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2

Kao, J. H., K. H. Chen, J. T. Chen, and S. R. Kuo. "Isogeometric Analysis of the Dual Boundary Element Method for the Laplace Problem With a Degenerate Boundary." Journal of Mechanics 36, no. 1 (September 23, 2019): 35–46. http://dx.doi.org/10.1017/jmech.2019.18.

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ABSTRACTIn this paper, we develop the isogeometric analysis of the dual boundary element method (IGA-DBEM) to solve the potential problem with a degenerate boundary. The non-uniform rational B-Spline (NURBS) based functions are employed to interpolate the geometry and physical function. To deal with the rank-deficiency problem due to the degenerate boundary, the hypersingular integral equation is introduced to promote the full rank for the influence matrix in the dual BEM. Finally, three numerical examples are given to verify the accuracy of our proposed method. Both circular and square domains subjected to the Dirichlet boundary condition are considered. The engineering problem containing a degenerate boundary is considered, e.g., a seepage flow problem with a sheet pile. Numerical results of the IGA-DBEM agree well with these of the exact solution and the original dual boundary element method.

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3

Zou, F., and M. H. Aliabadi. "A Dual Boundary Element Model for Electromechanical Impedance Based Damage Detection Applications." Key Engineering Materials 665 (September 2015): 265–68. http://dx.doi.org/10.4028/www.scientific.net/kem.665.265.

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In this paper, a boundary element method (BEM) for the time-harmonic analysis of electromechanically (EM) coupled 3D structures is presented. Among the two components of an EM coupled structure, the piezoelectric transducer is modelled by a semi-analytical finite element method (FEM), and the host structure is formulated by the dual boundary element method (DBEM). The analysis of the coupled structure is performed in the Fourier domain. The electromechanical impedance (EMI) of the system is used for the purpose of detecting damages.

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4

Pineda, E., and M. H. Aliabadi. "Dual Boundary Element Analysis for Time-Dependent Fracture Problems in Creeping Materials." Key Engineering Materials 383 (June 2008): 109–21. http://dx.doi.org/10.4028/www.scientific.net/kem.383.109.

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This paper presents the development of a new boundary element formulation for analysis of fracture problems in creeping materials. For the creep crack analysis the Dual Boundary Element Method (DBEM), which contains two independent integral equations, was formulated. The implementation of creep strain in the formulation is achieved through domain integrals in both boundary integral equations. The domain, where the creep phenomena takes place, is discretized into quadratic quadrilateral continuous and discontinuous cells. The creep analysis is applied to metals with secondary creep behaviour. This is con ned to standard power law creep equations. Constant applied loads are used to demonstrate time e¤ects. Numerical results are compared with solutions obtained from the Finite Element Method (FEM) and others reported in the literature.

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5

Liao, Y.-S., S.-W. Chyuan, and J.-T. Chen. "Numerical studies of variations in the gap and finger width ratio and travelled distance for the driving force of a radio-frequency microelectromechanical system device using the dual boundary element method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 10 (October 1, 2004): 1243–53. http://dx.doi.org/10.1243/0954406042368982.

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For the comb-drive design of microelectromechanical systems (MEMSs), the driving force due to the electrostatic field is very important, and an accurate electrostatic analysis is essential and indispensable. For various gaps, finger width ratios and travelled distances of the comb drive of MEMSs, the dual boundary element method (DBEM) has become a better method than the domain-type finite element method because the DBEM can provide a complete solution in terms of boundary values, with substantial saving in modelling effort. In this article, the DBEM is used to simulate the fringing field around the edges of the fixed and movable fingers of the comb drive of an MEMS for diverse design cases, and many electrostatic problems for typical comb drive designs of MEMSs are analysed, investigated and compared with a widely used approximate method. Results show that the driving force is obviously dependent on the travelled distance, and the approximate method cannot work well for all travelled positions because there is an apparent error (not less than 10 per cent), especially at the beginning and ends of the range of travel. In addition, the smaller the gap between movable and fixed fingers, the larger the driving force is, and the error of approximate method also becomes more and more predominant as the gap decreases. The results also demonstrate that the difference between the DBEM and the approximate method effect due to finger width ratio is very small. Using the DBEM presented in this article, an accurate and reasonable electrostatic field can be obtained, and the follow-up control method of driving force for the comb drive of an MEMS can be implemented more precisely.

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6

Citarella, Roberto G., G. Cricrì, and E. Armentani. "Multiple Crack Propagation with Dual Boundary Element Method in Stiffened and Reinforced Full Scale Aeronautic Panels." Key Engineering Materials 560 (July 2013): 129–55. http://dx.doi.org/10.4028/www.scientific.net/kem.560.129.

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In this work, the performance of a new methodology, based on the Dual Boundary Element Method (DBEM) and applied to reinforced cracked aeronautic panels, is assessed. Such procedure is mainly based on two-dimensional stress analyses, whereas the three-dimensional modelling, always implemented in conjunction with the sub-modelling approach, is limited to those situations in which the so-called secondary bending effects cannot be neglected. The connection between the different layers (patches and main panel) is realised by rivets: a peculiar original arrangement of the rivet configuration in the two-dimensional DBEM model allows to take into account the real in-plane panel stiffness and the transversal rivet stiffness, even with a two dimensional approach. Different in plane loading configurations are considered, depending on the presence of a biaxial or uniaxial remote load. The nonlinear hole/rivet contact, is simulated by gap elements when needed. The most stressed skin holes are highlighted, and the effect of through the thickness cracks, initiated from the aforementioned holes, is analysed in terms of stress redistribution, SIF evaluation and crack propagation. The two-dimensional approximation for such kind of problems is generally not detrimental to the accuracy level, due the low thickness of involved panels, and is particularly efficient for studying varying reinforcement configurations, where reduced run times and a lean pre-processing phase are prerequisites.The accuracy of the proposed approach is assessed by comparison with Finite Element Method (FEM) results and experimental tests available in literature.This approach aims at providing a general purpose prediction tool useful to improve the understanding of the fatigue resistance of aeronautic panels.KEYWORDSDBEM, full scale aeronautic panel, 2D/3D crack growth, MSD, doubler-skin assembly, damage tolerance

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7

Xie, Guizhong, and Fenglin Zhou. "A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems." Mathematical Problems in Engineering 2020 (January 24, 2020): 1–17. http://dx.doi.org/10.1155/2020/4629761.

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This paper focuses on tackling the two drawbacks of the dual boundary element method (DBEM) when solving crack problems with a discontinuous triangular element: low accuracy of the calculation of integrals with singularity and crack front element must be utilized to model the square-root property of displacement. In order to calculate the integrals with higher order singularity, the triangular elements are segmented into several subregions which consist of subtriangles and subpolygons. The singular integrals in those subtriangles are handled by the singularity subtraction technique in the integration space and can be regularized and accurately calculated. For the nearly singular integrals in those subpolygons, the element subdivision technique is employed to improve the calculation accuracy. In addition, considering the location of the crack front in the element, special crack front elements are constructed based on a 6-node discontinuous triangular element, in which the displacement extrapolation method is introduced to obtain the stress intensity factors (SIFs) without consideration of orthogonalization of the crack front mesh. Several numerical results are investigated to fully verify the validation of the presented approach.

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8

Wen, P. H., and M. H. Aliabadi. "Crack Growth by Dimensional Reduction Methods." Key Engineering Materials 525-526 (November 2012): 17–20. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.17.

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This paper presents a new fatigue crack growth prediction by using the dimensional reduction methods including the dual boundary element method (DBEM) and element-free Galerkin method (EFGM) for two dimensional elastostatic problems. One crack extension segment, i.e. a segment of arc, is introduced to model crack growth path. Based on the maximum principle stress criterion, this new prediction procedure ensures that the crack growth is smooth everywhere except the initial growth and the stress intensity factor of mode II is zero for each crack extension. It is found that the analyses of crack paths using coarse/large size of crack extension are in excellent agreement with analyses of the crack paths by the tangential method with very small increments of crack extension.

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9

Citarella, Roberto G., G. Cricrì, M. Lepore, and M. Perrella. "Assessment of Crack Growth from a Cold Worked Hole by Coupled FEM-DBEM Approach." Key Engineering Materials 577-578 (September 2013): 669–72. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.669.

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The main objective of the present work is the study of the effect of residual stresses, induced by a cold working split sleeve process, on the fatigue life of a holed specimen. The crack propagation is simulated by a two-parameters crack growth model, based on the usage of two threshold material parameters (ΔKthand Kmax,th) and on the allowance for residual stresses, introduced on the crack faces by material plastic deformations. The coupled usage of Finite Element Method (FEM) and Dual Boundary Element Method (DBEM) is proposed to simulate the crack propagation, in order to take advantage of the main capabilities of the two methods. The procedure is validated by comparison with experimental results (crack growth rates and crack path) available from literature, in order to assess its capability to predict the crack growth retardation phenomena.

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10

Barrinaya, Muhammad Akbar, Muhammad Nayomi Alfiyuranda, Mohammadkasem Ramezani, Ichsan Setya Putra, Singh Ramesh, Purwo Kadarno, Sri Hastuty, and Judha Purbolaksono. "Modes I-II-III stress intensity factors of a semi-elliptical surface crack at a round bar under torsion loading by FEM and DBEM." Engineering Solid Mechanics 10, no. 4 (2022): 399–406. http://dx.doi.org/10.5267/j.esm.2022.6.001.

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The corner point singularity of surface cracks by finite element method (FEM) has become a numerical concern decades ago. The literature showed that the stress intensity factors (SIFs) at the corner points were often excluded. Further, most SIFs were reported for larger ratios of the crack depth over cylinder diameter. This paper presents the SIFs (Modes I, II and III) of a semi-elliptical surface crack at a solid round bar under torsion. The tetrahedral and hexahedral elements were used in the finite element modelling. The effects of the loading mode and the crack aspect ratio on the corner point singularity were discussed. The tetrahedral meshing was generally observed to be more suitable for modelling relatively small surface cracks, particularly in respect to the corner point singularity. For all loading modes, the SIFs away from the corner points of using the tetrahedral meshing were found to have fairly good agreement with those by dual boundary element method (DBEM).

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11

Barrinaya, Muhammad Akbar, Muhammad Nayomi Alfiyuranda, Mohammadkasem Ramezani, Ichsan Setya Putra, Singh Ramesh, Purwo Kadarno, Sri Hastuty, and Judha Purbolaksono. "Modes I-II-III stress intensity factors of a semi-elliptical surface crack at a round bar under torsion loading by FEM and DBEM." Engineering Solid Mechanics 10, no. 4 (2022): 399–406. http://dx.doi.org/10.5267/j.esm.2022.6.099.

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The corner point singularity of surface cracks by finite element method (FEM) has become a numerical concern decades ago. The literature showed that the stress intensity factors (SIFs) at the corner points were often excluded. Further, most SIFs were reported for larger ratios of the crack depth over cylinder diameter. This paper presents the SIFs (Modes I, II and III) of a semi-elliptical surface crack at a solid round bar under torsion. The tetrahedral and hexahedral elements were used in the finite element modelling. The effects of the loading mode and the crack aspect ratio on the corner point singularity were discussed. The tetrahedral meshing was generally observed to be more suitable for modelling relatively small surface cracks, particularly in respect to the corner point singularity. For all loading modes, the SIFs away from the corner points of using the tetrahedral meshing were found to have fairly good agreement with those by dual boundary element method (DBEM).

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12

Zhu, Song-Ping, and Yinglong Zhang. "A comparative study of the direct boundary element method and the dual reciprocity boundary element method in solving the Helmholtz equation." ANZIAM Journal 49, no. 1 (July 2007): 131–50. http://dx.doi.org/10.1017/s1446181100012724.

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In this paper, we compare the direct boundary element method (BEM) and the dual reciprocity boundary element method (DRBEM) for solving the direct interior Helmholtz problem, in terms of their numerical accuracy and efficiency, as well as their applicability and reliability in the frequency domain. For BEM formulation, there are two possible choices for fundamental solutions, which can lead to quite different conclusions in terms of their reliability in the frequency domain. For DRBEM formulation, it is shown that although the DBREM can correctly predict eigenfrequencies even for higher modes, it fails to yield a reasonably accurate numerical solution for the problem when the frequency is higher than the first eigenfrequency. 2000 Mathematics subject classification: primary 65N38; secondary 35Q35. Keywords and phrases: the dual reciprocity boundary element method (DRBEM), Helmholtz equation, irregular frequencies.

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13

Trivedi, Kshma, Santanu Koley, and Kottala Panduranga. "Performance of an U-Shaped Oscillating Water Column Wave Energy Converter Device under Oblique Incident Waves." Fluids 6, no. 4 (April 1, 2021): 137. http://dx.doi.org/10.3390/fluids6040137.

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The present study deals with the performance of an U-shaped oscillating water column device under the action of oblique incident waves. To solve the associated boundary value problem, the dual boundary element method (DBEM) is used. Various physical parameters associated with the U-shaped OWC device, such as the radiation susceptance and conductance coefficients, and the hydrodynamic efficiency, are analyzed for a wide range of wave and structural parameters. The study reveals that the resonance in the efficiency curve occurs for smaller values of wavenumber with an increase in chamber length, submergence depth of the front wall and opening duct, and width of the opening duct. It is observed that with appropriate combinations of the angle of incidence and incident wavenumber, more than 90% efficiency in the U-shaped OWC device can be achieved.

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14

Citarella, Roberto G., Pierpaolo Carlone, Marcello Lepore, and Gaetano S. Palazzo. "A FEM-DBEM Investigation of the Influence of Process Parameters on Crack Growth in Aluminum Friction Stir Welded Butt Joints." Key Engineering Materials 554-557 (June 2013): 2118–26. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.2118.

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Medium to high strength aluminum alloys, such as 2xxx, 6xxx, and 7xxx series, are actually considered of great interest in the transport industries. For aeronautical applications, the precipitation hardenable AA2024 (Al-Cu) alloy is gaining considerable attention, in particular for the realization of nose barrier beam or fuselage panels. In this context, remarkable research effort is currently focused on the application of the Friction Stir Welding (FSW) process, as a suitable alternative to fusion welding processes. The interest in aeronautical application of FSW process is also justified by the reduction of production costs and weight and by the increase of strength and damage tolerance with respect to riveted lap joints. The implementation of the technique in safety-critical components, however, requires a deeper understanding of static strength as well as of fatigue behavior of FSWed assemblies. In this sense some experimental results have already been presented in the inherent literature, relatively, for instance, to AA6082-T6 and AA6061-T6, AA6063-T6, AA2024-T351, AA2024-T8 alloys processed by FSW. Despite the unavoidable relevance of experimental testing, a numerical approach able to predict the mechanical behavior of FSWed assemblies is very desirable, in order to achieve time and cost compression and to implement computational optimization procedures. This paper deals with a numerical investigation on the influence of FSW process parameters, namely the rotating speed and the welding speed, on fatigue crack growth in AA2024-T3 butt joints. The computational approach is based on a combined Finite Element Method (FEM) and Dual Boundary Element Method (DBEM) procedure, in order to take advantage of the main capabilities of the two methods. In particular, linear elastic FE simulations have been performed to evaluate the process induced residual stresses, by means of a recently developed technique named contour method. The computed residual stress field has then been superimposed to the stress field produced by an applied fatigue traction load in a Dual Boundary Element Method (DBEM) environment, where the simulation of a crack, initiated and propagating along the previously mentioned cutting line, can be performed in an automatic way. A two-parameters crack growth law is used for the crack propagation rate assessment. The DBEM code BEASY and the FEM code ANSYS have been sequentially coupled in the aforementioned numerical approach by using a BEASY interface module and in house developed routines. Computational results have been compared with experimental data, showing a satisfactory agreement. The influence of process parameters on the residual stresses distribution has also been highlighted.

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Citarella, Roberto G., M. Lepore, A. Apicella, and C. Calì. "DBEM Crack Growth Simulation for a Riveted Aeronautic Reinforcement under Non-linear Contact Conditions." Key Engineering Materials 348-349 (September 2007): 593–96. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.593.

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A special specimen was created cutting a rectangular notched area from the surrounding of the upper left corner of a wide body aircraft door. Then a fatigue traction load was applied in order to induce an MSD crack initiation and propagation. An innovative DBEM (Dual Boundary Element Method) modelling approach was devised, capable of explicitly modelling the different test article layers with their rivet connections even in a 2d approach. The rivets that are close to the propagating crack are coupled with the corresponding holes by non linear contact conditions, and the accuracy improvements are assessed in comparison with a previous linear analysis, in which traction and displacements continuity conditions on the hole-rivet interface had been imposed. The importance of such influence on the simulation precision need to be assessed due to the strong impact that a non linear analysis produces on computational times. For such a complex problem (three different panels, made of different materials, each one with a variable thickness and connected by numerous rivets), experimental crack propagation data were available for the numerical-experimental comparison. With such non linear approach, a significant improvement on the growth rate correlation is obtained, that justify the increased computational effort.

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16

Leite, Pedro G. P., and Gilberto Gomes. "Numerical simulation of fatigue crack propagation in mixed-mode (I+II) using the program BemCracker2D." International Journal of Structural Integrity 10, no. 4 (August 12, 2019): 497–514. http://dx.doi.org/10.1108/ijsi-04-2018-0022.

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Purpose The purpose of this paper is to present the application of the boundary element method (BEM) in linear elastic fracture mechanics for analysis of fatigue crack propagation problems in mixed-mode (I+II) using a robust academic software named BemCracker2D and its graphical interface BemLab2D. Design/methodology/approach The methodology consists in calculating elastic stress by conventional BEM and to carry out an incremental analysis of the crack extension employing the dual BEM (DBEM). For each increment of the analysis, the stress intensity factors (SIFs) are computed by the J-Integral technique, the crack growth direction is evaluated by the maximum circumferential stress criterion and the crack growth rate is computed by a modified Paris equation, which takes into account an equivalent SIF to obtain the fracture Modes I and II. The numerical results are compared with the experimental and/or BEM values extracted from the open literature, aiming to demonstrate the accuracy and efficiency of the adopted methodology, as well as to validate the robustness of the programs. Findings The paper addresses the numerical simulation of fatigue crack growth. The main contribution of the paper is the introduction of a software for simulating two-dimensional fatigue crack growth problems in mixed-mode (I+II) via the DBEM. The software BemCracker2D coupled to the BemLab2D graphical user interface (GUI), for pre/post-processing, are very complete, efficient and versatile and its does make relevant contributions in the field of fracture mechanics. Originality/value The main contribution of the manuscript is the development of a GUI for pre/post-processing of 2D fracture mechanics problems, as well as the object oriented programming implementation. Finally, the main merit is of educational nature.

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Li, Li Jun, Xian Yue Gang, Hong Yan Li, Shan Chai, and Ying Zi Xu. "Study on Numerical Methods for Acoustic Radiation of Open Structure." Key Engineering Materials 439-440 (June 2010): 692–97. http://dx.doi.org/10.4028/www.scientific.net/kem.439-440.692.

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For acoustic radiation of open thin-walled structure, it was difficult to analyze directly by analytical method. The problem could be solved by several numerical methods. This paper had studied the basic theory of the numerical methods as FEM (Finite Element Method), BEM (Boundary Element Method) and IFEM (Infinite Element Method), and the numerical methods to solve open structure radiation problem. Under the premise of structure-acoustic coupling, this paper analyzed the theory and flow of the methods on acoustic radiation of open structure, including IBEM (Indirect Boundary Element Method), DBEM (Direct Boundary Element Method) coupling method of interior field and exterior field, FEM and BEM coupling method, FEM and IFEM coupling method. This paper took the open structure as practical example, and applied the several methods to analyze it, and analyzed and compared the several results to get relevant conclusions.

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18

Fang, Ying Wu, De Wei Wu, Yan Jun Lu, Zhi Xiong Lei, and Yi Wang. "Study on Dynamic Behaviors of Thin Plate Structure by DBEM." Key Engineering Materials 353-358 (September 2007): 929–32. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.929.

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An analytical method of single field reducing-coupling on dynamic modeling is presented to analyze dynamic behaviors of thin plate structure based on dynamic fundamental solutions. In order to improve systematic modeling precision and efficiency, the method of single field reducing-coupling is introduced to deduce governing equations of thin plate structure dynamics by dynamic boundary element method (DBEM). The scale of matrix and generated time of coefficient matrixes are shortened greatly and dynamic behaviors of thin plate structure is obtained rapidly and accurately. The numerical examples and experiments show that the theory, established method and calculating program are feasible, and it has good precision and high efficiency.

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Fang, Ying Wu, Xiu Bin Zhao, Ying Hong Li, Yi Wang, and Wei Jin. "Research on Dynamic Behaviors of Machine Structure by Dynamic BEM." Advanced Materials Research 271-273 (July 2011): 88–91. http://dx.doi.org/10.4028/www.scientific.net/amr.271-273.88.

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Machine structure with joints was studied systematically, and a mixed modeling method based on dynamic and static fundamental solutions was introduced to establish the dynamic model of the whole structure, and the corresponding dynamic characteristics were analyzed. The machine structure can be modeled by a dynamic boundary element (DBEM). Numerical simulation analysis and dynamic experiments show that the established method improves modeling precision and efficiency, saves computing efforts but also raises analyzing accuracy of the whole structure.

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Chen, Jeng-Tzong, Ching-Yun Yueh, Yu-Lung Chang, and Chun-Chiang Wen. "Why dual boundary element method is necessary?" Engineering Analysis with Boundary Elements 76 (March 2017): 59–68. http://dx.doi.org/10.1016/j.enganabound.2016.11.011.

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21

Jumarhon, Bartur, Sia Amini, and Ke Chen. "On the boundary element dual reciprocity method." Engineering Analysis with Boundary Elements 20, no. 3 (October 1997): 205–11. http://dx.doi.org/10.1016/s0955-7997(97)00084-2.

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22

Zheng, Zhengyu. "Prediction of dipole sources and aeroacoustics field for tandem cylinder flow field based on DBEM/hybrid LES." International Journal of Aeroacoustics 20, no. 1-2 (January 10, 2021): 157–73. http://dx.doi.org/10.1177/1475472x20984092.

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In this paper, the DBEM/Hybrid LES（Directly Boundary Element Method/Hybrid Large Eddy Simulation）technique is applied to predict the aerodynamic noise generated by tandem circular cylinders immersed in a three-dimensional turbulent flow. Utilizing the Lighthill's Acoustic Analogy, the flow pressure fluctuation near the surface of the cylinder is converted into acoustic dipole sources. Taking the dipole sound sources as the actual sound sources, the aeroacoustic field is simulated and analyzed by DBEM. The research shows that: The strong dipole sources are distributed in the collision zone of the downstream cylindrical surface, where the upstream cylinder's shedding vortex colliding to downstream cylinder surface. Both of the amplitude-frequency response and the phase-frequency response of dipole acoustic source are obtained, which is helpful for further research on aerodynamics noise interference and suppression. Good comparisons are obtained between numerical results and BART (Basic Aerodynamic Research Tunnel) experimental data published by NASA.

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23

Köhler, O., and G. Kuhn. "The Domain-Boundary Element Method (DBEM) for hyperelastic and elastoplastic finite deformation: axisymmetric and 2D/3D problems." Archive of Applied Mechanics (Ingenieur Archiv) 71, no. 6-7 (July 17, 2001): 436–52. http://dx.doi.org/10.1007/s004190100153.

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24

Zakerdoost, Hassan, Hassan Ghassemi, and Mehdi Iranmanesh. "Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method." Advances in Applied Mathematics and Mechanics 9, no. 3 (January 17, 2017): 680–97. http://dx.doi.org/10.4208/aamm.2014.m783.

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AbstractIn this work we utilize the boundary integral equation and the Dual Reciprocity Boundary Element Method (DRBEM) for the solution of the steady state convection-diffusion-reaction equations with variable convective coefficients in two-dimension. The DRBEM is a numerical method to transform the domain integrals into the boundary only integrals by using the fundamental solution of Helmholtz equation. Some examples are calculated to confirm the accuracy of the approach. The results obtained by the analytic solutions are in good agreement with ones provided by the DRBEM technique.

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25

Wu, Wei-Liang. "Dual Boundary Element Method Applied to Antiplane Crack Problems." Mathematical Problems in Engineering 2009 (2009): 1–10. http://dx.doi.org/10.1155/2009/132980.

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This paper is concerned with an efficient dual boundary element method for 2d crack problems under antiplane shear loading. The dual equations are the displacement and the traction boundary integral equations. When the displacement equation is applied on the outer boundary and the traction equation on one of the crack surfaces, general crack problems with anti-plane shear loading can be solved with a single region formulation. The outer boundary is discretised with continuous quadratic elements; however, only one of the crack surfaces needs to be discretised with discontinuous quadratic elements. Highly accurate results are obtained, when the stress intensity factor is evaluated with the discontinuous quarter point element method. Numerical examples are provided to demonstrate the accuracy and efficiency of the present formulation.

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26

Lie, S. T., and C. Bian. "Load-Carrying Fillet Welds Using Dual Boundary Element Method." Journal of Structural Engineering 123, no. 12 (December 1997): 1603–13. http://dx.doi.org/10.1061/(asce)0733-9445(1997)123:12(1603).

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27

Simpson, R., and J. Trevelyan. "An enriched Dual Boundary Element Method for Fracture Mechanics." IOP Conference Series: Materials Science and Engineering 10 (June 1, 2010): 012047. http://dx.doi.org/10.1088/1757-899x/10/1/012047.

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28

Fedelinski, P., M. H. Aliabadi, and D. P. Rooke. "The dual boundary element method in dynamic fracture mechanics." Engineering Analysis with Boundary Elements 12, no. 3 (January 1993): 203–10. http://dx.doi.org/10.1016/0955-7997(93)90016-e.

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Prasad, N. N. V., M. H. Aliabadi, and D. P. Rooke. "The dual boundary element method for thermoelastic crack problems." International Journal of Fracture 66, no. 3 (April 1994): 255–72. http://dx.doi.org/10.1007/bf00042588.

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30

Albuquerque, E. L., P. Sollero, and M. H. Aliabadi. "Dual boundary element method for anisotropic dynamic fracture mechanics." International Journal for Numerical Methods in Engineering 59, no. 9 (February 3, 2004): 1187–205. http://dx.doi.org/10.1002/nme.912.

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31

Wen, P. H., and M. H. Aliabadi. "Dual Boundary Element Method for Modelling Curved Crack Paths." International Journal of Fracture 176, no. 1 (June 6, 2012): 127–33. http://dx.doi.org/10.1007/s10704-012-9719-x.

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Partridge, Paul W., and Luiz C. Wrobel. "The dual reciprocity boundary element method for spontaneous ignition." International Journal for Numerical Methods in Engineering 30, no. 5 (October 5, 1990): 953–63. http://dx.doi.org/10.1002/nme.1620300502.

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33

Portela, A. "Dual boundary-element method: Simple error estimator and adaptivity." International Journal for Numerical Methods in Engineering 86, no. 12 (January 24, 2011): 1457–80. http://dx.doi.org/10.1002/nme.3119.

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34

Fang, Ying Wu, and Yi Wang. "Study on One Kind of Antenna Radomes Materials Numerical Algorithm Simulation Based on DBEM." Materials Science Forum 575-578 (April 2008): 1471–76. http://dx.doi.org/10.4028/www.scientific.net/msf.575-578.1471.

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An approach of numerical modeling and simulation algorithm is presented to predict dynamic behaviors of one kind of antenna radomes materials efficiently. Considering the dynamic behaviors in the lateral and interior of the antenna radomes materials, the dynamic simulation equations of the antenna radomes materials is established based on a dynamic boundary element method (DBEM) by using the domain reducing to decrease computational scale and costs of the equations greatly, and the dynamic behaviors of the antenna radomes materials can be gotten effectively. Numerical simulation calculating and experiments show that the presented method not only saves computational efforts, raises analytical efficiency and simulation accuracy but also can provide the theoretical bases for avoiding the weak pose of the antenna radomes materials. It has very important reference value for improving theoretical calculation and design level of the antenna radomes materials.

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35

Shafaghat, R., S. M. Hosseinalipour, and A. Vahedgermi. "Determination of Supercavity Shape for Axisymmetric Cavitators at Different Non-Zero Attack Angles, Using Boundary Element Method." Journal of Mechanics 28, no. 2 (May 8, 2012): 383–89. http://dx.doi.org/10.1017/jmech.2012.43.

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AbstractWhen fluid passes a cavitator in the supercavitating flow, a supercavity forms behind the cavitator. Variation of the cavitator attack angle can influence theshape of the formed supercavity behind the cavitator. Consequently, it will affect the stability of supercavity behind the supercavitating cavitator with after body. In this study, a direct boundary element method (DBEM) is being formulated and numerically solved for3D unbounded potential flowspassing supercavitating bodies of revolution at different attack angles. In the analysis of potential flows passing supercavitating bodies at non-zero attack angles, a cavity closure model must be employed in order to close the mathematical formulationand guarantee the solution uniqueness. In the present study, we employ modified Riabouchinsky closure model. Since the location of the cavity surface is unknown at prior, an iterative scheme is used and for the first stage, an arbitrary cavity surface is assumed. The flow field is then solved and by an iterative process, the location of the cavity surface is corrected. Upon convergence, the exact boundary conditions are satisfied on the body-cavity boundary. A powerful CFD codeis developed to solve the 3D supercavitating flows behind all types of axisymmetric cavitators (such as disk, cone, etc) at zero and non-zero attack angles. The predictions of the CFD code are compared with those generated by verified existing data. The predictions of the code for supercavitating cones and disks seem to be excellent. Using the obtained data from CFD code, we investigate the supercavity shapesand corresponding stability at different attack angles with a fixed cavitation number.

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Solekhudin, Imam, and K. C. Ang. "A dual-reciprocity boundary element method for steady infiltration problems." ANZIAM Journal 54 (March 26, 2013): 171. http://dx.doi.org/10.21914/anziamj.v54i0.5699.

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37

Mohd Ihsan, Ahmad Kamal Ariffin, Nik Abdullah Nik Mohamed, and Fadhlur Rahman Mohd Romlay. "Dual Boundary Element Method In Modelling of Fatigue Crack Propagation." Jurnal Kejuruteraan 20, no. 1 (December 30, 2008): 45–55. http://dx.doi.org/10.17576/jkukm-2008-20-05.

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MATSUMOTO, Toshiro, Masataka TANAKA, and Tomoki TSUKAMOTO. "INDENTIFICATION OF SOURCE DISTRIBUTION USING DUAL RECIPROCITY BOUNDARY ELEMENT METHOD." Proceedings of The Computational Mechanics Conference 2002.15 (2002): 407–8. http://dx.doi.org/10.1299/jsmecmd.2002.15.407.

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39

Leme, S. P. L., and M. H. Aliabadi. "Dual boundary element method for dynamic analysis of stiffened plates." Theoretical and Applied Fracture Mechanics 57, no. 1 (February 2012): 55–58. http://dx.doi.org/10.1016/j.tafmec.2011.12.009.

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40

Mi, Y., and M. H. Aliabadi. "Dual boundary element method for three-dimensional fracture mechanics analysis." Engineering Analysis with Boundary Elements 10, no. 2 (1992): 161–71. http://dx.doi.org/10.1016/0955-7997(92)90047-b.

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41

Liu, Huan-Wen, and Song-Ping Zhu. "The dual reciprocity boundary element method for magnetohydrodynamic channel flows." ANZIAM Journal 44, no. 2 (October 2002): 305–22. http://dx.doi.org/10.1017/s1446181100013961.

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In this paper, we consider the problem of the steady-state fully developed magnetohydrodynamic (MHD) flow of a conducting fluid through a channel with arbitrary wall conductivity in the presence of a transverse external magnetic field with various inclined angles. The coupled governing equations for both axial velocity and induced magnetic field are firstly transformed into decoupled Poisson-type equations with coupled boundary conditions. Then the dual reciprocity boundary element method (DRBEM) [20] is used to solve the Poisson-type equations. As testing examples, flows in channels of three different crosssections, rectangular, circular and triangular, are calculated. It is shown that solutions obtained by the DRBEM with constant elements are accurate for Hartmann number up to 8 and for large conductivity parameters comparing to exact solutions and solutions by the finite element method (FEM).

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42

SOLEKHUDIN, I., and K. C. ANG. "A DUAL-RECIPROCITY BOUNDARY ELEMENT METHOD FOR STEADY INFILTRATION PROBLEMS." ANZIAM Journal 54, no. 3 (January 2013): 171–80. http://dx.doi.org/10.1017/s1446181113000187.

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AbstractSteady water infiltration in homogeneous soils is governed by the Richards equation. This equation can be studied more conveniently by transforming to a type of Helmholtz equation. In this study, a dual-reciprocity boundary element method (DRBEM) is employed to solve the Helmholtz equation numerically. Using the solutions obtained, numerical values of the suction potential are then computed. The proposed method is tested on problems involving infiltration from different types of periodic channels in a homogeneous soil. Moreover, the method is also examined using infiltration from periodic trapezoidal channels in three different types of homogeneous soil.

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Yamada, T., L. C. Wrobel, and H. Power. "On the convergence of the dual reciprocity boundary element method." Engineering Analysis with Boundary Elements 13, no. 3 (January 1994): 291–98. http://dx.doi.org/10.1016/0955-7997(94)90055-8.

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Prasad, N. N. V., M. H. Aliabadi, and D. P. Rooke. "The dual boundary element method for transient thermoelastic crack problems." International Journal of Solids and Structures 33, no. 19 (August 1996): 2695–718. http://dx.doi.org/10.1016/0020-7683(95)00183-2.

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Portela, A., M. H. Aliabadi, and D. P. Rooke. "The dual boundary element method: Effective implementation for crack problems." International Journal for Numerical Methods in Engineering 33, no. 6 (April 30, 1992): 1269–87. http://dx.doi.org/10.1002/nme.1620330611.

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PARTRIDGE, PAUL W., and BERARDI SENSALE. "HYBRID APPROXIMATION FUNCTIONS IN THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD." Communications in Numerical Methods in Engineering 13, no. 2 (February 1997): 83–94. http://dx.doi.org/10.1002/(sici)1099-0887(199702)13:2<83::aid-cnm34>3.0.co;2-n.

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47

Oyarzún, P., F. S. Loureiro, J. A. M. Carrer, and W. J. Mansur. "A time-stepping scheme based on numerical Green’s functions for the domain boundary element method: The ExGA-DBEM Newmark approach." Engineering Analysis with Boundary Elements 35, no. 3 (March 2011): 533–42. http://dx.doi.org/10.1016/j.enganabound.2010.08.015.

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48

Fahmy, Mohamed Abdelsabour, and Mohammed M. Almehmadi. "Fractional Dual-Phase-Lag Model for Nonlinear Viscoelastic Soft Tissues." Fractal and Fractional 7, no. 1 (January 5, 2023): 66. http://dx.doi.org/10.3390/fractalfract7010066.

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The primary goal of this paper is to create a new fractional boundary element method (BEM) model for bio-thermomechanical problems in functionally graded anisotropic (FGA) nonlinear viscoelastic soft tissues. The governing equations of bio-thermomechanical problems are briefly presented, including the fractional dual-phase-lag (DPL) bioheat model and Biot’s model. The more complex shapes of nonlinear viscoelastic soft tissues can be handled by the boundary element method, which also avoids the need for the interior domain to be discretized. The fractional dual-phase-lag bioheat equation was solved using the general boundary element method (GBEM) based on the local radial basis function collocation method (LRBFCM). The poroelastic fields are then calculated using the convolution quadrature boundary element method (CQBEM) The numerical findings show that our proposed numerical model is valid, efficient, and accurate.

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49

Guo, Shi Wei. "Dual Variables System Analysis for Timoshenko Beam." Applied Mechanics and Materials 423-426 (September 2013): 1473–84. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.1473.

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Regarding the displacements and internal forces of Timoshenko beams as dual variables, Timoshenko beam problems were included into dual variables system. Corresponding to state transfer solution of Hamiltonian dual equation, transfer form solution of dual variables for Timoshenko beams was presented. Based on transfer form solution, element stiffness equation and the shape functions of Timoshenko beams were deduced, boundary integral equation and the fundamental solution function of Timoshenko beams were obtained, which reveal the intrinsic relationships among the finite element method, the boundary element method and dual variables system of Timoshenko beams. Based on the transfer form solution of Timoshenko beams, transfer matrix method for chain structure of Timoshenko beams was proposed. For chain beam structure problems, transfer matrix method is simple, intuitive, and has the advantages of good boundary adaptability and less calculation in solving the node variables of chain structures with recursive solution. The numerical results demonstrate the feasibility and accuracy of transfer matrix method in complex beam structure problems.

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50

Sovizi, Mahdi, and Isa Esfandiarpour. "Scattered Data Interpolation based on Dual Reciprocity Boundary Element Method with Unknown Boundary Conditions." Mathematical Sciences Letters 2, no. 3 (September 1, 2013): 173–79. http://dx.doi.org/10.12785/msl/020305.

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