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Integral Evaluation for a ClosedForm 2D Potential Formulation of the Galerkin BEM Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210803
Aaron D. Brovont, Steven D. PekarekClosedform solutions are derived for the regular and adjacentsingular integrals involving the twodimensional Laplacian’s Green’s function and its normal derivative that arise in the Galerkin BEM. Motivation for their use is provided by comparing the accuracy and time required to compute the BEM system matrix relative to traditional numerical integration. Specifically, it is shown that the use of

A 3D BEMFEM approach using layered transversely isotropic halfspace Green's functions in the frequency domain for SSI analyses Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210803
Delaram Mehdizadeh, Morteza EskandariGhadi, Mohammad RahimianIn this paper, a numerical approach based on a threedimensional (3D) standard coupled boundary element methodfinite element method (BEMFEM) formulation in the frequency domain is presented. The approach allows studying the dynamics response of a structure bonded to the surface of a layered transversely isotropic halfspace subjected to timeharmonic loading. The FEM is used to model the structure

An efficient and quadratic accurate lineargradient smoothing integration scheme for meshfree Galerkin methods Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210803
Yifei Zhang, Nana Pu, Wentao MaTo address domain integration of meshfree Galerkin methods with quadratic base, we propose an efficient and accurate lineargradient smoothing integration (LGSI) scheme in this study. In our scheme, the smoothed gradient is expressed as the linear polynomial form with respect to the center of the smoothing domain by means of Taylor's expansion. The unknown coefficients can be uniquely determined in

Analysis of multicrack propagation by using the extended boundary element method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210802
Li Cong, Hu Bin, Hu Zongjun, Niu ZhongrongA new way is proposed to simulate the crack propagation paths of the multicracked structure. Firstly, the complete displacement and stress fields of the multicracked structure are calculated by the extended boundary element method (XBEM) coupled with characteristic analysis of the crack tip. Secondly, based on the maximum circumferential stress criterion by considering the contribution of the nonsingular

A generalized finite difference method for solving Stokes interface problems Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210731
Mengru Shao, Lina Song, PoWei LiIn this paper, a new scheme is proposed to solve the Stokes interface problem. The scheme turns the Stokes interface problem into two coupled Stokes noninterface subproblems and adds a mixed boundary condition to overcome the numerical pressure oscillation. Since the interface becomes the boundary of the subproblems, the scheme has the advantage to deal with the interface problem with complex geometry

IGABEM of 2D and 3D liquid inclusions Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210728
Rui Dai, Chunying Dong, Chuang Xu, Deyong SunRandomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity

Meshless numerical approach to flutter analysis of rotating pretwisted nanocomposite blades subjected to supersonic airflow Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210728
Hulun Guo, Xu Ouyang, Krzysztof Kamil Żur, Xintao WuIn this study, the flutter analysis of a rotating pretwisted functionally graded graphene nanoplatelets reinforced composite (FG GPLRC) blade under supersonic airflow is investigated. The pretwisted blade is multilayered and reinforced with graphene nanoplatelets (GPLs) evenly distributed in each layer while the GPL weight fraction changes from layer to layer through the thickness direction. The

A datadriven smoothed particle hydrodynamics method for fluids Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210728
Jinshuai Bai, Ying Zhou, Charith Malinga Rathnayaka, Haifei Zhan, Emilie Sauret, Yuantong GuThe rheological properties of emerging novel complex fluids are usually governed by multiple variables, which is challenging for traditional parameterized rheological models in the context of hydrodynamics modelling. In this paper, we propose a novel DataDriven Smoothed Particle Hydrodynamics (DDSPH) method that, instead of applying the empirical rheological models, utilizes discrete experimental

Using the digamma function for basis functions in meshfree computational methods Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210724
Bryce D. Wilkins, Theodore V. HromadkaWe examine the utility of a new family of basis functions for use with the Complex Variable Boundary Element Method (CVBEM) and other meshfree numerical methods for solving partial differential equations. The family of polygamma functions have found use in mathematics since as early as 1730 when James Stirling related the digamma function to the factorial function [1]. Now, we propose using the digamma

Dual BEM for wave scattering by an Htype porous barrier with nonlinear pressure drop Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210724
C.S. Nishad, K.G. Vijay, S. Neelamani, J.T. ChenIn this paper, wave scattering by an Htype porous barrier having nonlinear pressure drop boundary condition is analysed within the framework of small amplitude water wave theory. The Htype barrier is constructed using multiple thin (near zero thickness) rigid porous plates which are termed degenerate boundaries. The boundary value problem is solved using an iterative dual boundary element method

Approximation of the first eigenpair of the p(x)Laplacian using WEBspline based meshfree method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210719
Suchismita Patra, Naraveni Rajashekar, V.V.K. Srinivas KumarOur objective in this article is to develop weighted extended Bspline (WEBspline) approximation of the first eigenpair of p(x)Laplacian problem. One of the reason for choosing WEBspline based meshfree method for solving p(x)Laplacian problem is that, it has additional advantages compared to usual finite element method. For example, it does not require any mesh generation procedure and hence eliminates

An efficient local meshless method for the equal width equation in fluid mechanics Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210717
M.N. Rasoulizadeh, M.J. Ebadi, Z. Avazzadeh, O. NikanThis paper proposes an accurate and robust meshless approach for the numerical solution of the nonlinear equal width equation. The numerical technique is applied for approximating the spatial variable derivatives of the model based on the localized radial basis functionfinite difference (RBFFD) method. Another implicit technique based on θ−weighted and finite difference methods is also employed for

On the dynamics of rotating matrix cracked FGGPLRC cylindrical shells via the elementfree IMLSRitz method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210712
Hulun Guo, Xuelin Du, Krzysztof Kamil ŻurRotating cylindrical shells have been widely used in rotating machinery. The vibration characteristics of rotating composite cylindrical shells have a significant influence on the rotor dynamics. This paper provides a useful approach for the vibration analysis of a rotating functionally graded (FG) graphene nanoplatelets (GPLs) reinforced composite (GPLRC) cylindrical shell with matrix cracks. GPLs

Band structure analysis of phononic crystals with imperfect interface layers by the BEM Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210712
FengLian Li, Chuanzeng Zhang, YueSheng WangA boundary element method (BEM) is implemented and applied to compute the band structures of phononic crystals taking account of three different kinds of imperfect interface layers. By using the Bloch theorem and the interface conditions the eigenvalue equations related to the wave vector are derived. The influences of the springinterface model, massinterface model and springmassinterface model

DDFS3D: A set of opensource codes leveraging hybrid 3D displacement discontinuity method and fictitious stress method to simulate fractures Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210707
Louis Ngai Yuen Wong, Xin CuiUnderground engineering is becoming increasingly sophisticated in recent years, exemplified by shale gas recovery, nuclear waste disposal and enhanced geothermal systems. Displacement Discontinuity Method (DDM) and Fictitious Stress Method (FSM) are two branches of boundary element method which can efficiently and accurately simulate fractures and openings embedded in large spatial domains. Nevertheless

A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210707
PoWei Li, ChiaMing Fan, Jakub Krzysztof GrabskiIn this study, a novel meshless stable numerical solver is proposed to solve the nonconservative form of shallow water equations. Since they form a hyperbolic system of equations, discontinuous solutions are allowed to transmit during the simulation. The generalized finite differencesplit coefficient matrix method, recently proposed, is applied and improved using the flux limiter to eliminate the

A refined quasi3D logarithmic shear deformation theorybased effective meshfree method for analysis of functionally graded plates resting on the elastic foundation Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210708
TanVan Vu, H. T. Tai Nguyen, Hieu NguyenVan, TrongPhuoc Nguyen, Jose L. CurielSosaIn this paper, a new refined quasi3dimensional logarithmic shear deformation theory (RQ3DLSDT) and an advanced moving Kriging interpolation (AMKI) basedmeshless method is combined for the first time to study the static bending, free vibration, and compressive buckling analysis of isotropic and sandwich functionally graded plates laid on elastic foundations. The RQ3DLSDT considering the effect

Applications of the Trefftz method to the antiplane fracture of 1D hexagonal piezoelectric quasicrystals Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210708
Jiaxing Cheng, Bangjian Liu, Xiaolin Cao, Zhaoxia LiIn terms of solving fracture mechanics problems of quasicrystals, the boundary element method known as Trefftz Method is used for the first time. In this paper, the collocation Trefftz method as an indirect Trefftz method has been demonstrated to be an excellent numerical method for the antiplane fracture problems in quasicrystals plate, which can exactly satisfy the governing equations and approximately

The influence of flexible fluid structure interactions on sway induced tank sloshing dynamics Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210708
Reza Saghi, Spyros Hirdaris, Hassan SaghiThe analysis of liquid sloshing remains a challenging computational mechanics topic due to its complex underlying physics. The rapid simulation of sloshing problems requires accurate modelling of twophase fluid dynamics and sloshing impacts on solid tank boundaries by suitable Flexible Fluid Structure Interaction (FFSI) models. This paper presents a hydroelastic model for the prediction of sway induced

Improving stability of moving particle semiimplicit method by source terms based on timescale correction of particlelevel impulses Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210706
LiangYee Cheng, Rubens Augusto Amaro Junior, Eric Henrique FaveroThe aim of this paper is to investigate the unstable nature of pressure computation focusing on incompressible flow modeling through the projectionbased particle methods. A new approach from the original viewpoint of the momentum conservation regarding particlelevel collisions, hereinafter refered to as timescale correction of particlelevel impulses (TCPI), is proposed to derive new source terms

Higher order schemes introduced to the meshless FDM in elliptic problems Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210706
Sławomir MilewskiThe research is focused on the development of the Meshless Finite Difference Method with higher order approximation schemes and its application in elliptic problems. On the contrary to the Finite Element Method and other meshless methods, the approximation order may be raised without introducing any new nodes or degrees of freedom. The main concept is based upon the consideration of additional correction

Meshless simulation of a liddriven cavity problem with a nonNewtonian fluid Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210704
Vanja Hatič, Boštjan Mavrič, Božidar ŠarlerThe purpose of the present paper is to solve the liddriven cavity problem for a nonNewtonian powerlaw shear thinning and shear thickening fluid by a meshless method. Results are presented for Re=100 and Re=1000, where different levels of shear thinning and thickening are considered. Furthermore, the liddriven cavity case is made geometrically more complex by adding several circularshaped obstacles

A wellconditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210703
Suliman Khan, Sakhi Zaman, Muhammad Arshad, Hongchao Kang, Hasrat Hussain Shah, Alibek IssakhovHighly oscillatory integrals are frequently involved in applied problems, particularly for largescale data and high frequencies. Levin method with global radial basis functions was implemented for numerical evaluation of these integrals in the literature. However, when the frequency is large or nodal points are increased, the Levin method with global radial basis functions faces several issues such

Explicit boundary element modeling of nonlocal damage with Eshelby theory Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210704
M.A. Kamal, Ahmed Fady Farid, Youssef F. RashedModeling nonlinearities, including damage, in the boundary element method (BEM) is usually carried out in implicit way, or in other words via applying initial stresses or strains over a discretized domain part. Such initial values have no physical meaning. They are only used to compensate the stress level due to the occurred nonlinearity. In this paper explicit implementation of nonlocal damage is

Analysis of a pennyshaped crack with semipermeable boundary conditions across crack face in a 3D thermal piezoelectric semiconductor Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210704
ChangHai Yang, MingHao Zhao, Chunsheng Lu, QiaoYun ZhangIn this paper, we study a pennyshaped crack model with electrically and thermally semipermeable boundary conditions in a threedimensional transversely isotropic piezoelectric semiconductor. An extended displacement discontinuity boundary element method together with an iterative process is proposed to analyze the pennyshaped crack model. The extended displacement discontinuities across crack face

Threedimensional crack propagation and inclusioncrack interaction based on IGABEM Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210702
F.L. Sun, C.Y. DongThe isogeometric boundary element method (IGABEM) is developed to simulate the crack propagation and the inclusioncrack interaction in 3D infinite isotropic medium. The influence of complex shape inclusions on the stress intensity factors (SIFs) along the crack front is studied from the aspects of shape, stiffness, size and position. The nonuniform rational Bspline (NURBS) basis functions can be

Nonlinear heat transfer analysis of spines using MLPG method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210702
Harishchandra ThakurIn the current article, an analysis of heat transfer in the spine of different profiles is carried out. A nonlinear differential equation that includes the effect of temperaturedependent thermal conductivity, variable heat transfer coefficient, and surface radiation is solved using a predictorcorrector scheme and the meshless local PetrovGalerkin (MLPG) method. The moving least square (MLS) method

Steady seepage analysis in soilrockmixture slope using the numerical manifold method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210702
Guanhua Sun, Wei Wang, Lu ShiThe NMM (numerical manifold method) was widely adopted to deal with many types of engineering problems involving moving boundaries, such as multiple crack propagation in rock masses. With regular triangular mathematical meshes, the NMM is further developed for two typical steady seepage problems, such as the confined seepage analysis and the unconfined seepage analysis. For unconfined seepage analysis

The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz's problems with internal heterogeneity Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210702
Hercules de Melo Barcelos, Carlos Friedrich Loeffler, Luciano de Oliveira Castro LaraThis work presents the combination of the direct interpolation boundary element method (DIBEM) and the domain superposition technique (DST) to address piecewise inhomogeneous two dimensional Helmholtz problems, in which the internal constitutive property in each sector varies smoothly according to a known function. The domain integrals generated by the medium's heterogeneity are transformed into boundary

A fast multipole boundary element method based on higher order elements for analyzing 2D elastostatic problems Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210626
Hu Bin, Niu Zhongrong, Li Cong, Hu ZongjunA new fast multipole boundary element method (FMBEM) is proposed to analyze 2D elastostatic problems by using linear and threenode quadratic elements. The use of higherorder elements in BEM analysis results in more complex forms of the integrands, in which the direct Gaussian quadrature is difficult to calculate the singular and nearly singular integrals. Herein, the complex notation is first introduced

Axisymmetric BEM analysis of layered elastic halfspace with volcanoshaped mantle and cavity under internal gas pressure Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210623
Sha Xiao, Zhongqi Quentin YueThis paper presents an axisymmetric BEM analysis of layered elastic halfspace with volcanoshaped mantle and cavity under internal gas pressure. The problem is of interest to understand the behavior of volcanoes, tectonic earthquakes and other oil and gas reservoirs. The volcanoshaped mantle ground topography and the internal spherical or ellipsoidal cavity are added to the conventional model of layered

Simulating fluidstructure interactions with a hybrid immersed smoothed point interpolation method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210620
Shuangqiang Wang, Guiyong Zhang, Boqian Yan, Yuzhen Chen, Zhifan ZhangIn this paper, a hybrid immersed smoothed point interpolation method (hybrid ISPIM) is proposed, which employs a hybrid force approach to impose fluidstructure interaction (FSI) force condition. Compared with the original ISPIM using a complete body force, the hybrid ISPIM still utilizes the form of body force for pressure term to enhance the stability of numerical algorithm, and the shear force

Meshfree finite volume method for active vibration control of temperaturedependent piezoelectric laminated composite plates Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210620
M. Momeni, N. FallahThe application of control systems in composite structures is of great significance in reducing their vibration and protecting components. The current study proposes a sophisticated meshfree finite volume approach to actively control the vibration of temperaturedependent piezoelectric laminated composite plates. The moving least square shape functions are practiced in the approximation of the field

Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210619
LiPing Zhang, ZiCai Li, HungTsai Huang, MingGong LeeConsider the Dirichlet problem for Laplace’s/Poisson’s equation in a bounded simplyconnected domain S. The source function qlnPQ*¯ is a fundamental solution (FS), and it can be found in many physical problems. The singularity occurs when the boundary value data affected by qlnPQ*¯ as the source node Q* is located near the boundary Γ(=∂S). So far, there is no comprehensive study on this kind of

Boundary condition enforcement for renormalised weakly compressible meshless Lagrangian methods Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210619
Johannes C. Joubert, Daniel N. Wilke, Nicolin Govender, Patrick Pizette, Josip Basic, NorEdine AbriakThis paper introduces a boundary condition scheme for weakly compressible (WC) renormalised firstorder accurate meshless Lagrangian methods (MLM) by considering both solid and free surface conditions. A hybrid meshless Lagrangian methodfinite difference (MLMFD) scheme on prescribed boundary nodes is proposed to enforce Neumann boundary conditions. This is used to enforce symmetry boundary conditions

Numerical investigation on the hydrodynamic performance of a new designed breakwater using smoothed particle hydrodynamic method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210619
Jie Cui, Xin Chen, Pengnan SunFloating breakwaters have better performance than fixed breakwaters in deep water conditions owing to their higher durability and lower cost. To evaluate the hydrodynamics of a floating breakwater system, a coupling model between smoothed particle hydrodynamics and a multisegmented quasiStatic method is developed. The freefloating and the moored cases are firstly employed as benchmarks to validate

An improved node moving technique for adaptive analysis using collocated discrete least squares meshless method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210618
Marziye Ramezani Lashkariani, Ali Rahmani FiroozjaeeIn this paper, an improved node moving technique was developed for adaptive solution of some flow problems. Collocated Discrete Least Squares Meshless (CDLSM) method was applied for simulation. This method is a truly meshless method and also enjoys the symmetric and positivedefinite property. Then, an improved node moving technique was developed based on the spring analogy. In this mechanism, each

Influence functions for a 3D fullspace under bilinear stationary loads Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210617
E. Romanini, J. Labaki, A.C.A. Vasconcelos, E. MesquitaThis manuscript brings the derivation of influence functions for a threedimensional fullspace under bilinearlydistributed timeharmonic loads. The differential equations describing the medium are decomposed in terms of uncoupled vector fields. A double Fourier transform allows the system of equations to be solved algebraically in the transformed space, where the bilinearloading boundary conditions

An efficient localized meshless technique for approximating nonlinear sinhGordon equation arising in surface theory Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210613
O. Nikan, Z. AvazzadehThis paper adopts an efficient localized meshless technique for computing the solution of the nonlinear sinhGordon equation (NShGE). The NShGE is one useful description for many natural processes such as solid state physics, surface theory, fluid dynamics, nonlinear optics and dislocation in materials. In the proposed method, at the first step, a secondorder accurate formulation is implemented to

Numerical simulation of Submarine nonrigid landslide by an explicit threestep incompressible smoothed particle hydrodynamics Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210611
Seyed Erfan Hosseini Mobara, Rasool Ghobadian, Fardin Rouzbahani, Dejana ĐorđevićDeformable landslide body is modeled as a rheological material when SPH methods are used for numerical simulations. To increase accuracy, CarreauYasuda rheological model is chosen in this study. The model overcomes the weakness of the powerlaw model in predicting viscosity at zero and infinite shear strain rates. Also, a fully explicit threestep algorithm is proposed to solve governing equations

Approximation of Cauchytype singular integrals with high frequency Fourier kernel Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210611
Suliman Khan, Sakhi Zaman, Sirajul IslamTwo types of splitting algorithms are proposed for approximation of Cauchy type singular integrals having high frequency Fourier kernel. To evaluate nonsingular integrals, modified Levin collocation methods with multiquadric radial basis function and Chebyshev polynomials are proposed. In the scenario of interval splitting, a multiresolution quadrature is used to tackle the singularity ridden kernel

The method of fundamental solutions for twodimensional elasticity problems based on the Airy stress function Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210611
Quan Jiang, Zhidong Zhou, Jubing Chen, Fengpeng YangThis paper presents a new version of the method of fundamental solutions (MFS) for twodimensional linear elasticity problems based on the stress function (Airy stress function), which is different from the MFS utilizing the fundamental solutions of displacement. The displacement compatibilities are derived by the singlevaluedness of displacements in multiplyconnected region. Based on the strain

Analytical and meshless numerical approaches to unified gradient elasticity theory Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210612
Krzysztof Kamil Żur, S. Ali FaghidianThe unified gradient elasticity theory with applications to nanomechanics of torsion is examined. The Reissner stationary variational principle is invoked to detect the differential and boundary conditions of equilibrium along with the consistent form of the constitutive laws. An efficient meshless numerical approach is established by making recourse to the Reissner variational functional wherein

A stable nodebased smoothed finite element method with PML technique for the elastic wave obstacle scattering Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210612
Yu Wang, Junhong Yue, Ming Li, Ruiping NiuIn this paper, a stable nodebased smoothed finite element method with PML (SNSFEMPML) is proposed to solve the scattering problem of a timeharmonic elastic plane wave by a rigid obstacle in two dimensions. In the algorithm, the stability term is constructed by the Taylor expansion of the gradient to cure the instability of the original NSFEM. The linear variations of the gradient with respect

An adaptive interpolation element free Galerkin method based on a posteriori error estimation of FEM for Poisson equation Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210611
Xiaohua Zhang, Zhicheng Hu, Min WangIn this paper, an adaptive element free Galerkin (EFG) method is presented to solve Poisson equation. In general, element free Galerkin method using moving least square (MLS) approximation needs a background mesh for integration. With the arbitrary polygonal influence domain technique, the shape function of MLS has almost interpolation property, and the Gaussian quadrature points in the background

A hybrid plane wave expansion/edgebased smoothed finite element method for band structures simulation of semiinfinite beamlike phononic crystals Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210609
J.H. Cheng, G. Wang, Y.M. WuThis paper presents a hybrid plane wave expansion/edgebased smoothed finite element method (PWE/ESFEM) for band structures simulation of semiinfinite beamlike phononic crystals (PCs). The field variables are first approximated using linear shape functions in conjunction with the spatial Fourier series. Within the further formed edgebased smoothing domains, the gradient smoothing technique (GST)

Efficient solution of block Toeplitz systems with multiple righthand sides arising from a periodic boundary element formulation Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210605
Christopher Jelich, Mahmoud Karimi, Nicole Kessissoglou, Steffen MarburgBlock Toeplitz matrices are a special class of matrices that exhibit reduced memory requirements and a reduced complexity of matrixvector multiplications. We herein present an efficient computational approach to solve a sequence of block Toeplitz systems arising from a block Toeplitz system with multiple righthand sides. Two different numerical schemes are implemented for the solution of the sequence

Meshless analysis for cracked shallow shell Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210606
W. Huang, Y.D. Tang, J. Sladek, V. Sladek, P.H. WenA moderated thick double curved shallow shell with functionally graded materials subjected to static and dynamic loads are investigated by the meshless methods. Shear deformable plate theory is applied and the governing equation with respect to the middle surface is formulated in the Cartesian coordinate system with five degrees of freedom. The numerical solutions of the partial differential equations

Dynamic analysis of functionally graded sandwich beams using a semianalytic method named scaled boundary finite element method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210606
Jun Liu, Congkuan Hao, Yang Zhou, Wenbin YeIn this research, free and forced vibrations of the functionally graded material (FGM) sandwich beams are investigated by using the scaled boundary finite element method (SBFEM). The innovation of this method is that the discretization only exists in the axial direction of the beam, which reduces the spatial dimension of problem by one, the timeconsuming mesh generation processes are greatly reduced

A boundary weak singularity elimination method for multilayer structures Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210604
Yudong Zhong, Guizhong Xie, Junjian Hou, Wenbin He, Liangwen Wang, Shuguang WangIn the numerical discretization for the models of multilayer thin structures, the elements with narrow strip shape may be appeared. When using the previous methods to integrate these elements, the potentially near singularity will arise in the circumferential direction. In this paper, a weak singularity elimination method for multilayer structures of 3D boundary element method is presented to accurately

Dynamic analysis of antidip bedding rock slopes reinforced by prestressed cables using discrete element method Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210605
Yun Zheng, Runqing Wang, Congxin Chen, Chaoyi Sun, Zhanghao Ren, Wei ZhangPrestressed cables were found to be a viable approach of reinforcing antidip bedding rock slopes (ABRSs) in the Wenchuan earthquake. However, the dynamic response law and failure mechanism of reinforced ABRSs are still unclear, which was studied using the Universal Distinct Element Code (UDEC) method in this work. A numerical model of a typical ABRS was first built up using UDEC. Then, a comparison

An accurate GalerkinBEM approach for the modeling of quasistatic viscoelastic problems Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210605
C.G. Riobom Neto, J.A.F. Santiago, J.C.F. Telles, E.G.A. CostaThe present paper deals with the development of a Galerkin Boundary Element Method (GalerkinBEM) approach applied to the numerical simulation of plane and halfplane quasistatic viscoelastic problems. This approach makes use of a halfplane viscoelastic fundamental solution, thus avoiding the full discretization of the halfplane and consequently reducing the computational requirements of the proposed

Localized MQRBF meshless techniques for modeling unsaturated flow Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210605
Mohamed Boujoudar, Abdelaziz Beljadid, Ahmed TaikIn this study, we focus on spacetime meshfree numerical techniques for efficiently solving the Richards equation which is often used to model unsaturated flow through porous media. We propose an efficient approach which combines the use of local multiquadric (MQ) radial basis function (RBF) methods and spacetime techniques. The localized MQRBFs meshless methods allow to avoid mesh generation and

Boundarytype Ritz method for the analysis of arbitrarily shaped polygonal plates Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210605
Mohammad H. Aljawhary, Husain J. AlGahtaniThis study presents an upgraded Ritz method capable of providing solutions to thin polygonal plates of regular and irregular shapes with various boundary conditions. The method presented herein is called the BoundaryType Ritz (BTR) Method and it circumvents the complexity of the involved domains by transforming the encountered integrals to other forms that need to be evaluated only at corners. This

A nonlocal strain gradient isogeometric nonlinear analysis of nanoporous metal foam plates Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210603
P. PhungVan, A.J.M. Ferreira, H. NguyenXuan, Chien H. ThaiWe investigate the nonlinear bending behavior of nanoporous metal foam plates within the framework of isogeometric analysis (IGA) and higherorder plate theory. The nonlocal strain gradient theory (NSGT) taking into account the length scale and nonlocal parameters has been adopted to establish a scale dependent model of metal foam nanoscale plates. Von Karman nonlinear strains are then used to take

Improved geometric modeling using the method of fundamental solutions Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210602
C.S. Chen, Lionel Amuzu, Kwesi Acheampong, Huiqing ZhuIn this paper, we propose a new geometric model that includes a fourthorder partial differential equation (PDE) for reconstructing 2D curves. For instance, we use this model to reproduce letters in Time Roman font. The method of fundamental solutions (MFS), which is a simple and easily implemented meshless method, is employed for solving the proposed PDEs. In addition, no fictitious boundary is required

Ghostpoint based radial basis function collocation methods with variable shape parameters Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210531
ShinRuei Lin, D.L. Young, ChuinShan ChenIn this study, a strategy was proposed to determine the interval of the variable shape parameter for the ghost point method using radial basis functions. The determination of a suitable interval for the variable shape parameter remains a challenge. The modified Franke formula was used as an initial predictor of the center of the interval of the variable shape parameter in this study. After extensive

BEM modeling and experiment verification for thermoacoustic response of suspended nano thin films Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210526
Zhenhuan Zhou, Houyang Li, Jinxin Wang, Dalun Rong, Xinsheng Xu, C.W. Lim 
The local meshless numerical model for granular debris flow Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210527
Karel Kovářík, Juraj Mužík, Soňa Masarovičová, Roman Bulko, Filip GagoThe article deals with the possibilities of using local meshless methods for modeling the movement of avalanches and rapid slopes movements. These are dangerous phenomena that can cause extensive damage to the infrastructure of mountainous areas and numerical models are therefore an important tool in their prediction. Today, meshless methods are increasingly developed in many different areas for their

The hygrothermoelectromechanical coupling edgebased smoothed point interpolation method for the response of functionally graded piezoelectric structure under hygrothermal environment Eng. Anal. Bound. Elem. (IF 2.964) Pub Date : 20210527
Bin Nie, Shuihui Ren, Wanqing Li, Liming Zhou, Changyi LiuIn this paper, we analyze the hygrothermoelectromechanical (HTEM) coupling problem of functionally graded piezoelectric (FGPE) structure based on edgebased smoothed point interpolation method (ESPIM). The basic equations for FGPE structure are derived in the multiphysical field. Triangular elements adopted in ESPIM can be generated automatically and suitable for complicated structures. The responses