Modelling Elasto-Plasticity Using the Hybrid MLPG Method [PDF]
Meshless methods continue to generate strong interest as alternatives to conventional finite element methods. One major area of application as yet relatively unexplored with meshless methods is elasto-plasticity. In this paper we extend a novel numerical method, based on the Meshless Local Petrov-Galerkin (MLPG) method, to the modelling of elasto ...
Heaney, C. E. +2 more
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Further Developments in the MLPG Method for Beam Problems [PDF]
An accurate and yet simple Meshless Local Petrov-Galerkin (MLPG) formulation for analyzing beam problems is presented. In the formulation, simple weight functions are chosen as test functions as in the conventional MLPG method. Linear test functions are also chosen, leading to a variation of the MLPG method that is computationally efficient compared to
Raju, I. S., Phillips, D. R.
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Applications of the MLPG Method in Engineering & Sciences: A Review
A review is presented for analysis of problems in engineering & the sciences, with the use of the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods lie in the local nature, as well as higher order continuity, of the trial function approximations, high adaptivity and a low cost to prepare input data for numerical analyses,
J. Sladek +4 more
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A new Singular/Hypersingular MLPG (LBIE) method for 2D elastostatics
A new meshless local Petrov-Galerkin (MLPG) type method based on local boundary integral equation (LBIE) considerations is proposed for the solution of elastostatic problems. It is called singular/hypersingular MLPG (LBIE) method since the representation of the displacement field at the internal points of the considered structure is accomplished with ...
Sellountos, E. J. +2 more
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Elastic transient analysis with MLPG(LBIE) method and local RBFs
A Meshless Local Petrov-Galerkin (MLPG) method based on Local Boundary Integral Equation (LBIE) techniques is employed here for the solution of transient elastic problems with damping. The Radial Basis Functions (RBF) interpolation scheme is exploited for the meshless representation of displacements throughout the computational domain.
Sellountos, E. J. +2 more
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Topology-optimization of Structures Based on the MLPG Mixed Collocation Method
The Meshless Local Petrov-Galerkin (MLPG) "mixed collocation'' method is applied to the problem of topology-optimization of elastic structures. In this paper, the topic of compliance minimization of elastic structures is pursued, and nodal design variables which represent nodal volume fractions at discretized nodes are adopted.
Shu Li, S. N. Atluri
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A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation
The main objective of this paper is to develop a multiscale method for the static analysis of a nano-system, based on a combination of molecular mechanics and MLPG methods. The tangent-stiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method.
Shengping Shen, S. N. Atluri
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Thermomechanical Analysis of Functionally Graded Composites under Laser Heating by the MLPG Method
The Meshless Local Petrov-Galerkin (MLPG) method is a novel numerical approach similar to finite element methods, but it allows the construction of the shape function and domain discretization without defining elements. In this study, the MLPG analysis for transient thermomechanical response of a functionally graded composite heated by Gaussian laser ...
Ching, H. K., Chen, J. K.
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Buckling analysis of axially functionally graded carbon nanotubes-reinforced columns using the meshless method [PDF]
The spread of different material processing technologies has led to the novel methods developed for reinforcing structural members. One of these approaches is to add the carbon nanotubes (CNTs) with different distributions through the matrix phase of ...
Hanie Elahihamezanlui +2 more
doaj +1 more source
Monitoring network design with MLPG-TLBO hybrid model (case study Birjand, Iran)
As the groundwater quantitative monitoring aimed to determine the factors affecting the aquifer behavior plays an important role in its regional management, studying the temporal and spatial groundwater level variations requires a comprehensive ...
Nahid Majidi Khalilabad +3 more
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