A novel formulation for static and buckling analysis of plates using coupled element free Galerkin-finite strip (EFG-FS)

Mousavi, Hamed; Azhari, Mojtaba; Saadatpour, M.M.

doi:10.1016/j.apm.2019.01.019

Cited by 13 publications

(2 citation statements)

References 31 publications

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“…e quartic spline weight functions in the EFG technique have been adopted by various other researchers also for solving different types of problems such as nonlinear shallow water equations [20] and static and buckling analysis of the thin plate [30]. (iv) Gaussian exponential spline weight function: the Gaussian exponential spline weight function is defined as…”

Section: Choice Of Weight Functionsmentioning

confidence: 99%

Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems

Kaur

Sangwan

2021

Journal of Mathematics

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As it is well recognized that conventional numerical schemes are inefficient in approximating the solutions of the singularly perturbed problems (SPP) in the boundary layer region, in the present work, an effort has been made to propose a robust and efficient numerical approach known as element-free Galerkin (EFG) technique to capture these solutions with a high precision of accuracy. Since a lot of weight functions exist in the literature which plays a crucial role in the moving least square (MLS) approximations for generating the shape functions and hence affect the accuracy of the numerical solution, in the present work, due emphasis has been given to propose a robust weight function for the element-free Galerkin scheme for SPP. The key feature of nonrequirement of elements or node connectivity of the EFG method has also been utilized by proposing a way to generate nonuniformly distributed nodes. In order to verify the computational consistency and robustness of the proposed scheme, a variety of linear and nonlinear numerical examples have been considered and L ∞ errors have been presented. Comparison of the EFG solutions with those available in the literature depicts the superiority of the proposed scheme.

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Section: Choice Of Weight Functionsmentioning

confidence: 99%

Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems

Kaur

Sangwan

2021

Journal of Mathematics

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“…To get multipurpose targets, FSM can be combined with the other methods. For example, Mousavi et al (2019) introduced a novel formulation to perform static and buckling analysis of plates using coupled element free Galerkin-finite strip (EFG-FS).…”

Section: Introductionmentioning

confidence: 99%

Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method

Shahmohammadi

Azhari

Saadatpour

et al. 2019

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Purpose This paper aims to analyze the stability of laminated shells subjected to axial loads or external pressure with considering various geometries and boundary conditions. The main aim of the present study is developing an efficient combined method which uses the advantages of different methods, such as finite element method (FEM) and isogeometric analysis (IGA), to achieve multipurpose targets. Two types of material including laminated composite and sandwich functionally graded material are considered. Design/methodology/approach A novel type of finite strip method called isogeometric B3-spline finite strip method (IG-SFSM) is used to solve the eigenvalue buckling problem. IG-SFSM uses B3-spline basis functions to interpolate the buckling displacements and mapping operations in the longitudinal direction of the strips, whereas the Lagrangian functions are used in transverse direction. The current presented IG-SFSM is formulated based on the degenerated shell method. Findings The buckling behavior of laminated shells is discussed by solving several examples corresponding to shells with various geometries, boundary conditions and material properties. The effects of mechanical and geometrical properties on critical loads of shells are investigated using the related results obtained by IG-SFSM. Originality/value This paper shows that the proposed IG-SFSM leads to the critical loads with an approved accuracy comparing with the same examples extracted from the literature. Moreover, it leads to a high level of convergence rate and low cost of solving the stability problems in comparison to the FEM.

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Application of improved element-free Galerkin combining with finite strip method for buckling analysis of channel-section beams with openings

Mousavi

Azhari

Saadatpour

et al. 2020

Engineering with Computers

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A novel formulation for static and buckling analysis of plates using coupled element free Galerkin-finite strip (EFG-FS)

Cited by 13 publications

References 31 publications

Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems

Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems

Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method

Application of improved element-free Galerkin combining with finite strip method for buckling analysis of channel-section beams with openings

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