Post buckling analysis of shear deformable shallow shells by the boundary element method

Baiz, P.M.; Aliabadi, M.H.

doi:10.1002/nme.2898

Cited by 12 publications

(3 citation statements)

References 37 publications

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“…[35], Albuquerque et al [36], Bozkaya [37], Bulgakov et al [38], Baiz and Aliabadi [39], and Benedetti and Aliabadi [40].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

Fahmy

2012

Journal of Applied Mechanics

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The main objective of this paper is to study the transient magneto-thermoviscoelastic stresses in a nonhomogeneous anisotropic solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about it with a constant angular velocity. The system of fundamental equations is solved by means of a dual-reciprocity boundary element method (DRBEM). The results indicate that the effects of inhomogeneity and rotation are very pronounced.

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“…[35], Albuquerque et al [36], Bozkaya [37], Bulgakov et al [38], Baiz and Aliabadi [39], and Benedetti and Aliabadi [40].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

Fahmy

2012

Journal of Applied Mechanics

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“…For problems such as stress concentration or infinite domains, BEM can be applied to achieve better accuracy in comparison with finite element method. Many usages of BEM in solving problems related to wave propagation, crack, buckling, optimization, etc are reported in the literature …”

Section: Introductionmentioning

confidence: 99%

The solution of elastostatic and dynamic problems using the boundary element method based on spherical Hankel element framework

Hamzehei‐Javaran

Shojaee²

2017

Numerical Meth Engineering

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In this paper, new spherical Hankel shape functions are used to reformulate boundary element method for 2-dimensional elastostatic and elastodynamic problems. To this end, the dual reciprocity boundary element method is reconsidered by using new spherical Hankel shape functions to approximate the state variables (displacements and tractions) of Navier's differential equation. Using enrichment of a class of radial basis functions (RBFs), called spherical Hankel RBFs hereafter, the interpolation functions of a Hankel boundary element framework has been derived. For this purpose, polynomial terms are added to the functional expansion that only uses spherical Hankel RBF in the approximation. In addition to polynomial function fields, the participation of spherical Bessel function fields has also increased robustness and efficiency in the interpolation. It is very interesting that there is no Runge phenomenon in equispaced Hankel macroelements, unlike equispaced classic Lagrange ones. Several numerical examples are provided to demonstrate the effectiveness, robustness and accuracy of the proposed Hankel shape functions and in comparison with the classic Lagrange ones, they show much more accurate and stable results. KEYWORDS 2D elastostatic and elastodynamic problems, boundary element method, dual reciprocity method, equispaced macroelements, Runge phenomenon, spherical Hankel shape functions | INTRODUCTIONElastostatics and elastodynamics illustrate a wide range of phenomena in engineering and physical problems such as force equilibrium of special structures and analysis of structures under vibratory motor, earthquake, explosion, and collision loads, where wave propagation is expressed by a governing linear partial differential equation, associated with suitable boundary and initial conditions. Generally, finding the solution of elastostatic and elastodynamic problems for analysis and design purposes through analytical approaches can be hard and time-consuming. Also, with a little complexity in boundary conditions, analytical solution may even become impossible. Therefore, in most practical engineering cases, solving them numerically seems to be inevitable. One of the numerical methods that have been considered significantly by researchers is boundary element method (BEM). 1,2 As it is clear from its name, boundary element only needs the boundary to be discretized, and it is not necessary to discretize the domain in this method. This matter leads to the reduction of unknowns to be stored. Therefore, less computational cost and storage space will be spent. For problems such as stress concentration or infinite domains, BEM can

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“…In [5] a multi-region boundary element formulation for linear local buckling analysis of assembled plate and shallow shell structures is presented. Finally, in [6] the BEM is tested in the post-buckling analysis of shear deformable shallow shells.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of Levy-type orthotropic stiffened plate and shell based on different strain-displacement models

Ruocco

Mallardo

2013

International Journal of Non-Linear Mechanics

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Post buckling analysis of shear deformable shallow shells by the boundary element method

Cited by 12 publications

References 37 publications

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

The solution of elastostatic and dynamic problems using the boundary element method based on spherical Hankel element framework

Buckling analysis of Levy-type orthotropic stiffened plate and shell based on different strain-displacement models

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