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The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics
The scaled boundary finite-element method, alias the consistent infinitesimal finite-element cell method, is developed starting from the governing equations of linear elastodynamics. Only theExpand
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The scaled boundary finite element method in structural dynamics
The scaled boundary finite element method is extended to solve problems of structural dynamics. The dynamic stiffness matrix of a bounded (finite) domain is obtained as a continued fraction solutionExpand
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A matrix function solution for the scaled boundary finite-element equation in statics
The scaled boundary finite-element method is a fundamental-solution-less boundary element method based on finite elements. It leads to semi-analytical solutions for displacement and stress fields,Expand
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An improved non-classical method for the solution of fractional differential equations
A procedure to construct temporally local schemes for the computation of fractional derivatives is proposed. The frequency-domain counterpart (iω)α of the fractional differential operator of order αExpand
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A super‐element for crack analysis in the time domain
A super-element for the dynamic analysis of two-dimensional crack problems is developed based on the scaled boundary finite-element method. The boundary of the super-element containing a crack tip isExpand
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Low-discrepancy sequence initialized particle swarm optimization algorithm with high-order nonlinear time-varying inertia weight
TLDR
A novel particle swarm optimization method called LHNPSO, with low-discrepancy sequence initialized particles and high-order (1/π2) nonlinear time-varying inertia weight and constant acceleration coefficients, is proposed in this paper. Expand
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Polygon scaled boundary finite elements for crack propagation modelling
SUMMARY An automatic crack propagation modelling technique using polygon elements is presented. A simple algorithm to generate a polygon mesh from a Delaunay triangulated mesh is implemented. TheExpand
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The scaled boundary finite element method
In the finite element method, a problem domain is divided into elements of simple geometries. The shapes of the finite elements are typically limited to triangles and quadrilaterals in 2D andExpand
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Probabilistic interval analysis for structures with uncertainty
Abstract A hybrid probabilistic and interval method for engineering problems described by a mixture of random and interval variables is presented. Random interval arithmetic for carrying out basicExpand
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Consistent Infinitesimal Finite-Element Cell Method: Three-Dimensional Vector Wave Equation
To calculate the unit-impulse response matrix of an unbounded medium for use in a time-domain analysis of unbounded medium–structure interaction, the consistent infinitesimal finite-element cellExpand
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