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16 Result(s)

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  1. No Access

    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...

    F. García-Sánchez, Ch Zhang, J. Sládek… in Recent Advances in Boundary Element Methods (2009)

  2. No Access

    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 ...

    J. Sladek, V. Sladek, P. Solek, E. Pan in Computational Mechanics (2008)

  3. No Access

    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...

    J. Sladek, V. Sladek, Ch. Zhang in Computational Mechanics (2008)

  4. No Access

    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. ...

    V. Sladek, J. Sladek, Ch. Zhang in Composites with Micro- and Nano-Structure (2008)

  5. No Access

    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...

    J. Sladek, V. Sladek, Ch. Hellmich, J. Eberhardsteiner in Computational Mechanics (2007)

  6. No Access

    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...

    J. Sladek, V. Sladek, Ch. Zhang, M. Schanz in Computational Mechanics (2006)

  7. No Access

    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...

    V. Sladek, J. Sladek, Ch. Zhang in Computational Mechanics (2005)

  8. No Access

    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 ...

    J. Sladek, V. Sladek, J. Krivacek, Ch. Zhang in Computational Mechanics (2003)

  9. No Access

    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...

    J. Sladek, V. Sladek in Computational Mechanics (2003)

  10. No Access

    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...

    J. Sladek, V. Sladek in Computational Mechanics (2002)

  11. No Access

    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...

    J. Sladek, V. Sladek in Computational Mechanics (2000)

  12. No Access

    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...

    V. Sladek, J. Sladek, S. N. Atluri, R. Van Keer in Computational Mechanics (2000)

  13. No Access

    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...

    S. N. Atluri, J. Sladek, V. Sladek, T. Zhu in Computational Mechanics (2000)

  14. No Access

    Article

    Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties

    This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. ...

    J. Sladek, V. Sladek, S. N. Atluri in Computational Mechanics (2000)

  15. No Access

    Article

    Boundary element analysis for an interface crack between dissimilar elastoplastic materials

    The boundary element method (BEM) is presented for elastoplastic analysis of cracks between two dissimilar materials. The boundary integral equations and integral representation of stress rates are written in ...

    J. Sladek, V. Sladek in Computational Mechanics (1995)

  16. No Access

    Article

    Computation of stresses in axisymmetric elastostatical problems using BEM

    V. Sládek, J. Sládek in Computational Mechanics (1988)