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Article
The Heat Conduction in Nanosized Structures
Thermal transport cannot be well described by classical Fourier’s law in nanosized structures. A novel gradient theory is developed in such structures adopting the size effect of heat conduction. Thi...
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Article
On the characterization of porosity-related parameters in micro-dilatation theory
Although micro-dilatation theory is very suitable and effective in modeling elastic porous materials, the absence of any guidance to evaluate or characterize its porosity-related parameters in the literature l...
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Article
Mindlin theory for the bending of porous plates
Biot’s poroelastic theory has been applied for Mindlin plates to model moderately thick plates. If Mindlin’s kinematical assumptions and a power series expansion for the pore pressure in the thickness directio...
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Article
The MLPG applied to porous materials with variable stiffness and permeability
Two-dimensional (2-d) and axisymmetric consolidation problems are treated with a meshless local Petrov–Galerkin approach. The porous continuum is modeled with Biot’s theory, where the solid displacements and t...
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Article
Crack analysis in decagonal quasicrystals by the MLPG
A meshless method based on the local Petrov-Galerkin approach is proposed to solve initial-boundary-value crack problems in decagonal quasicrystals. These quasicrystals belong to the class of two-dimensional (...
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Article
Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading
Transient elastodynamic crack analysis in two-dimensional (2D), layered, anisotropic and linear elastic solids is presented in this paper. A time-domain boundary element method (BEM) in conjunction with a mult...
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Article
Fracture analysis of cracks in magneto-electro-elastic solids by the MLPG
A meshless method based on the local Petrov–Galerkin approach is proposed for crack analysis in two-dimensional (2-D) and three-dimensional (3-D) axisymmetric magneto-electric-elastic solids with continuously ...
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Article
Local integral equation method for viscoelastic Reissner–Mindlin plates
A meshless local Petrov-Galerkin (MLPG) method is applied to solve static and dynamic bending problems of linear viscoelastic plates described by the Reissner–Mindlin theory. To this end, the correspondence pr...
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Article
Heat Conduction Analysis of 3-D Axisymmetric and Anisotropic FGM Bodies by Meshless Local Petrov–Galerkin Method
The meshless local Petrov–Galerkin method is used to analyze transient heat conduction in 3-D axisymmetric solids with continuously inhomogeneous and anisotropic material properties. A 3-D axisymmetric body is...
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Article
Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids
A meshless method based on the local Petrov-Galerkin approach is proposed for the solution of quasi-static and transient dynamic problems in two-dimensional (2-D) nonhomogeneous linear viscoelastic media. A un...
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Article
Domain element local integral equation method for potential problems in anisotropic and functionally graded materials
An efficient numerical method is proposed for 2-d potential problems in anisotropic media with continuously variable material coefficients. The method is based on the local integral relationships (integral for...
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Article
Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients
A new approach (Domain-Element Local Integro-Differential-Equation Method -- DELIDEM) is developed and implemented for the solution of 2-D potential problems in materials with arbitrary continuous variation of...
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Article
Stress Concentration Near an Elliptic Crack in the Interface Between Elastic Bodies under Steady-State Vibrations
The paper addresses the three-dimensional problem on steady-state vibrations of an elastic body consisting of two perfectly joined dissimilar half-spaces with an elliptic mode I crack located in one of the hal...
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Article
Local BIEM for transient heat conduction analysis in 3-D axisymmetric functionally graded solids
An advanced computational method for transient heat conduction analysis in 3-D axisymmetric continuously nonhomogeneous functionally graded materials (FGM) is proposed. The analysed domain is covered by small ...
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Article
A meshless method for large deflection of plates
The nonlinear integro-differential Berger equation is used for description of large deflections of thin plates. An iterative solution of Berger equation by the local boundary integral equation method with mes...
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Article
Application of the Local Boundary Integral Equation Method to Boundary-Value Problems
A review of the meshless formulations based on local boundary integral equation (LBIE) methods is presented. Physical quantities are approximated by the moving least-squares method. A summary of recent develop...
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Article
A Trefftz function approximation in local boundary integral equations
In the present paper the Trefftz function as a test function is used to derive the local boundary integral equations (LBIE) for linear elasticity. Since Trefftz functions are regular, much less requirements a...
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Article
Nonsingular traction BIEs for crack problems in elastodynamics
The nonsingular traction BIEs are derived for the Laplace transforms in elastodynamic crack problems. Two different forms of the final nonsingular traction BIEs are received with respect to the leading singul...
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Article
Numerical integration of singularities in meshless implementation of local boundary integral equations
The necessity of a special treatment of the numerical integration of the boundary integrals with singular kernels is revealed for meshless implementation of the local boundary integral equations in linear ela...
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Article
The local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity
The meshless method based on the local boundary integral equation (LBIE) is a promising method for solving boundary value problems, using an local unsymmetric weak form and shape functions from the moving lea...
