34 Result(s)
within
J. Sladek
Engineering
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Chapter and Conference Paper
Bending of Piezo-Electric FGM Plates by a Mesh-Free Method
Unified formulation for bending of elastic piezoelectric plates is derived with incorporating the assumptions of three plate bending theories, such as the Kirchhoff-Love theory, 1st order and 3rd order shear d...
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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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Chapter and Conference Paper
Three-Dimensional Meshless Modelling of Functionally Graded Piezoelectric Sensor
A meshless local Petrov-Galerkin (MLPG) method to analyse the electro-elastic response of functionally graded piezoelectric circular sensor is proposed. In this approach the analysed body is discretized using ...
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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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Chapter
A 2D Time-Domain BEM for Dynamic Crack Problems in Anisotropic Solids
This chapter presents a time-domain boundary element method (BEM) for transient dynamic crack analysis in two-dimensional, homogeneous, anisotropic and linear elastic solids. Strongly singular displacement bou...
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Chapter
Modeling of Smart Structures by Meshless Local Integral Equation Method
A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-D) piezoelectric and magneto-electric-elastic solids with continuously varying material proper...
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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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Chapter
The Use of Finite Elements for Approximation of Field Variables on Local Sub-Domains in a Mesh-Free Way
The paper deals with the numerical implementations of local integral equation formulation for the solution of two-dimensional (2-d) problems in linear elastic media with continuously variable Young’s modulus. ...
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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
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...
