Trefftz interpolation based multi-domain boundary point method

Kompiš, V.; Štiavnický, M.; Kompis, Marian; Žmindák, Milan

doi:10.1016/j.enganabound.2004.06.007

Cited by 6 publications

(6 citation statements)

References 8 publications

(11 reference statements)

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“…The TRBF correctly simulate the decay of field variables and so they can efficiently model any concentrators in field variables. They can be also source functions acting in other domains (Boussinesq-Cerutti solution for half space which can be used for effective modeling of effect of local loading [13,14], analytic solution for layered structures, etc. ).…”

Section: Discussionmentioning

confidence: 99%

Particles Interactions in Composites Reinforced by Fibre and Spherical Inclusions

Žmindák¹,

Novák²

2009

Komunikácie

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In our contribution we will show a new Method of Continuous Source Functions (MCSF) to modelling of such problems like composites reinforced by finite length fibres with a large aspect ratio and composites reinforced by spherical inclusions. The source functions (forces and dipoles) are continuously distributed along the fibre axis (i. e. outside of the domain, which is the domain of the matrix) and their intensities are modelled by 1D quadratic elements along the axis in order to satisfy continuity conditions between the matrix and fibre. The spherical inclusions are modelled by a triple dipole located in the centre of the particle and the intensities of the dipole can be computed using a small number of collocation points on the particle boundary

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Section: Discussionmentioning

confidence: 99%

Particles Interactions in Composites Reinforced by Fibre and Spherical Inclusions

Žmindák¹,

Novák²

2009

Komunikácie

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“…All convenient distribution of nodal points along integration curve (fibre axes), order of integration (number of Gauss integration points), and collocation points (along fibrematrix interface) are decisive for numerical stability and accuracy of the model. All these problems were in detail studied and discussed in our previous publications [12][13][14][20][21][22] and presented in several conferences on computational mechanics.…”

Section: Methods Of Continuous Source Functions For Simulation Of Fibresmentioning

confidence: 99%

Thermal Properties of Short Fibre Composites Modeled by Meshless Method

Kompiš

Murčínková

2014

Advances in Materials Science and Engineering

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Computational model using continuous source functions along the fibre axis is presented for simulation of temperature/heat flux in composites reinforced by short fibres with large aspect ratio. The aspect ratio of short fibres reinforcing composite material is often as large as 103 : 1–106 : 1, or even larger. 1D continuous source functions enable simulating the interaction of each fibre with the matrix and also with other fibres. The developed method of continuous source functions is a boundary meshless method reducing the problem considerably comparing to other methods like FEM, BEM, meshless methods, or fast multipole BEM formulation.

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“…As the interpolation functions have large gradients on the fiber boundaries the integration was performed analytically. Such procedure is preferred to all classical FEM, BEM or even meshless methods, which we used previously [15,16]. It is more effective and more accurate than any of them.…”

Section: A Straight Fiber-matrix Interactionmentioning

confidence: 98%