### Abstract

We present a model which simulates the response of a granular material (made up of nonplastic grains) to small cyclic shear strain. The model is based upon a dissipation function representing energy dissipated as plastic deformation and a quadratic dilatancy rule describing the volume response which produces kinematic hardening. Elastic deformation is included in the model through a function describing the rate at which it is stored as deformation occurs. Two sets of experimental data (one for a shear test, the other for a circular loading test) are used to evaluate the accuracy of the model. For the shear test, both the shear strain-shear stress curve and the shear strain-volume strain curve are reproduced well. In the circular loading test, the principal strain response and volume response are modelled realistically. (C) 1999 Elsevier Science Ltd. All rights reserved.

Original language | English |
---|---|

Pages (from-to) | 1397-1408 |

Number of pages | 12 |

Journal | Journal of the Mechanics and Physics of Solids |

Volume | 47 |

Publication status | Published - 1999 |

### Keywords

- anisotropic material
- constitutive behaviour
- cyclic loading
- elastic-plastic
- granular material
- CONSTITUTIVE MODEL
- SAND

### Cite this

*Journal of the Mechanics and Physics of Solids*,

*47*, 1397-1408.

**On the elasticity and plasticity of dilatant granular materials.** / Nixon, S A ; Chandler, H W .

Research output: Contribution to journal › Article

*Journal of the Mechanics and Physics of Solids*, vol. 47, pp. 1397-1408.

}

TY - JOUR

T1 - On the elasticity and plasticity of dilatant granular materials

AU - Nixon, S A

AU - Chandler, H W

PY - 1999

Y1 - 1999

N2 - We present a model which simulates the response of a granular material (made up of nonplastic grains) to small cyclic shear strain. The model is based upon a dissipation function representing energy dissipated as plastic deformation and a quadratic dilatancy rule describing the volume response which produces kinematic hardening. Elastic deformation is included in the model through a function describing the rate at which it is stored as deformation occurs. Two sets of experimental data (one for a shear test, the other for a circular loading test) are used to evaluate the accuracy of the model. For the shear test, both the shear strain-shear stress curve and the shear strain-volume strain curve are reproduced well. In the circular loading test, the principal strain response and volume response are modelled realistically. (C) 1999 Elsevier Science Ltd. All rights reserved.

AB - We present a model which simulates the response of a granular material (made up of nonplastic grains) to small cyclic shear strain. The model is based upon a dissipation function representing energy dissipated as plastic deformation and a quadratic dilatancy rule describing the volume response which produces kinematic hardening. Elastic deformation is included in the model through a function describing the rate at which it is stored as deformation occurs. Two sets of experimental data (one for a shear test, the other for a circular loading test) are used to evaluate the accuracy of the model. For the shear test, both the shear strain-shear stress curve and the shear strain-volume strain curve are reproduced well. In the circular loading test, the principal strain response and volume response are modelled realistically. (C) 1999 Elsevier Science Ltd. All rights reserved.

KW - anisotropic material

KW - constitutive behaviour

KW - cyclic loading

KW - elastic-plastic

KW - granular material

KW - CONSTITUTIVE MODEL

KW - SAND

M3 - Article

VL - 47

SP - 1397

EP - 1408

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

ER -