Spring method for modelling of particulate solid composed of spherical particles and weak matrix

• Autorzy: Zabulionis D. , Kačianauskas R. , Rimša V. , Rojek J. , Pilkavičius S.

Identyfikatory

DOI

10.1016/j.acme.2015.06.006

• Języki publikacji: EN

Abstrakty

EN

In the present paper, a possibility of an approximation of elastic particulate composite with a network of elastic springs that undertake only axial forces is considered. It is assumed that the springs are equivalent to two hemispheres interacting through a weaker interface member. In a frame of the suggested approach, the description of the composite is limited to translational degrees of freedom, therefore, only a normal interaction between the spheres was considered. The methodology for calculation of the axial stiffness of the elastic springs and obtained solutions of the stiffness in explicit form are the main novelty of the article. A comparison of the stiffnesses of the springs obtained by the proposed methodology and by the three dimensional Finite Element Method (FEM) has shown a good agreement between them in a wide range of the ratio of the modulus of elasticity of the particles and matrix at four different distances between surfaces of the particles. A possibility of the approximation of particulate composite by springs was tested and discussed in details by comparing results of a mechanical response of a sample (under three different loading cases) modelled as a three dimensional solid and as a system comprised of the springs. The solutions were obtained by the FEM.

Słowa kluczowe

EN

spring network model; lattice model; particulate composites; heterogeneous materials; finite element modelling

PL

kompozyt ziarnisty; materiał niejednorodny; metoda elementów skończonych

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 15, no. 4
• Strony: 775--785
• Opis fizyczny: Bibliogr. 17 poz., rys., tab., wykr.

Twórcy

autor

Zabulionis D.

• Institute of Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, Lithuania

autor

Kačianauskas R.

• Institute of Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, Lithuania

autor

Rimša V.

• Institute of Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, Lithuania

autor

Rojek J.

• Polish Academy of Sciences, Pawińskiego ul. 5B, 02-106 Warszawa, Poland

autor

Pilkavičius S.

• Department of Strength of Materials and Engineering Mechanics, Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223 Vilnius, Lithuania

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