Abstract
In this micromechanical study of the behaviour of granular materials, relationships are investigated between deformation at the continuum macro-scale and at the micro-scale of interparticle contacts. Special attention is paid to the role of the microstructure, or fabric, as it is well known to have a strong influence on the behaviour of granular materials. Two-dimensional Discrete Element Method simulations of isobaric tests have been used to formulate truncated Fourier series representations for suitably-averaged relative displacement increment vectors at interparticle contacts and of parameters that describe the fabric. Based on a micromechanical expression for the average strain tensor that is valid in the two-dimensional case considered here and on these Fourier series representations, a Strain–Displacement–Fabric relationship has been derived that links the macro-scale dilatancy rate to the micro-scale relative displacements and fabric. Results of the Discrete Element Method simulations, using samples with different densities, have been employed to verify the accuracy of the proposed relationship for the dilatancy rate.
| Original language | English |
|---|---|
| Pages (from-to) | 14-22 |
| Number of pages | 9 |
| Journal | International journal of solids and structures |
| Volume | 165 |
| Early online date | 24 Jan 2019 |
| DOIs | |
| Publication status | Published - 15 Jun 2019 |
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Keywords
- Dilatancy
- Fabric
- Granular materials
- Micromechanics
- Strain
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A strain–displacement–fabric relationship for granular materials. / Kruyt, N. P. (Corresponding Author); Rothenburg, L.
In: International journal of solids and structures, Vol. 165, 15.06.2019, p. 14-22.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - A strain–displacement–fabric relationship for granular materials
AU - Kruyt, N. P.
AU - Rothenburg, L.
PY - 2019/6/15
Y1 - 2019/6/15
N2 - In this micromechanical study of the behaviour of granular materials, relationships are investigated between deformation at the continuum macro-scale and at the micro-scale of interparticle contacts. Special attention is paid to the role of the microstructure, or fabric, as it is well known to have a strong influence on the behaviour of granular materials. Two-dimensional Discrete Element Method simulations of isobaric tests have been used to formulate truncated Fourier series representations for suitably-averaged relative displacement increment vectors at interparticle contacts and of parameters that describe the fabric. Based on a micromechanical expression for the average strain tensor that is valid in the two-dimensional case considered here and on these Fourier series representations, a Strain–Displacement–Fabric relationship has been derived that links the macro-scale dilatancy rate to the micro-scale relative displacements and fabric. Results of the Discrete Element Method simulations, using samples with different densities, have been employed to verify the accuracy of the proposed relationship for the dilatancy rate.
AB - In this micromechanical study of the behaviour of granular materials, relationships are investigated between deformation at the continuum macro-scale and at the micro-scale of interparticle contacts. Special attention is paid to the role of the microstructure, or fabric, as it is well known to have a strong influence on the behaviour of granular materials. Two-dimensional Discrete Element Method simulations of isobaric tests have been used to formulate truncated Fourier series representations for suitably-averaged relative displacement increment vectors at interparticle contacts and of parameters that describe the fabric. Based on a micromechanical expression for the average strain tensor that is valid in the two-dimensional case considered here and on these Fourier series representations, a Strain–Displacement–Fabric relationship has been derived that links the macro-scale dilatancy rate to the micro-scale relative displacements and fabric. Results of the Discrete Element Method simulations, using samples with different densities, have been employed to verify the accuracy of the proposed relationship for the dilatancy rate.
KW - Dilatancy
KW - Fabric
KW - Granular materials
KW - Micromechanics
KW - Strain
UR - http://www.scopus.com/inward/record.url?scp=85060547043&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2019.01.028
DO - 10.1016/j.ijsolstr.2019.01.028
M3 - Article
VL - 165
SP - 14
EP - 22
JO - International journal of solids and structures
JF - International journal of solids and structures
SN - 0020-7683
ER -