Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation

A. C. Paine

doi:10.1201/9781003761693-67

Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation

A. C. Paine

Research output: Chapter or section in a book/report/conference proceeding › Book chapter

2 Citations (SciVal)

Abstract

We consider a dense, random packing of spheres. To calculate the bulk modulus of the medium, we apply a displacement to the boundary. The displacement of the sphere centres and hence the contact forces are determined using a perturbation of the uniform strain approximation. Only the case of a hydrostatic compression is considered, although the method may be used for other initial states and for additional simplicity it is assumed that the spheres are either infinitely rough or perfectly smooth.

Original language	English
Title of host publication	Proceedings of the Third International Conference on Powders & Grains, Durham, North Carolina, 18-23 May 1997
Subtitle of host publication	Powders & Grains 97
Editors	R. P. Behringer, J. T. Jenkins
Place of Publication	Leiden, Netherlands
Publisher	CRC Press
Pages	291-294
Number of pages	4
ISBN (Electronic)	9781040897997
ISBN (Print)	9789054108849
DOIs	https://doi.org/10.1201/9781003761693-67
Publication status	Published - 1 Jan 1997
Externally published	Yes

ASJC Scopus subject areas

General Engineering
General Materials Science
General Mathematics

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10.1201/9781003761693-67

Cite this

Paine, A. C. (1997). Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation. In R. P. Behringer, & J. T. Jenkins (Eds.), Proceedings of the Third International Conference on Powders & Grains, Durham, North Carolina, 18-23 May 1997: Powders & Grains 97 (pp. 291-294). CRC Press. https://doi.org/10.1201/9781003761693-67

Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation. / Paine, A. C.
Proceedings of the Third International Conference on Powders & Grains, Durham, North Carolina, 18-23 May 1997: Powders & Grains 97. ed. / R. P. Behringer; J. T. Jenkins. Leiden, Netherlands: CRC Press, 1997. p. 291-294.

Research output: Chapter or section in a book/report/conference proceeding › Book chapter

Paine, AC 1997, Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation. in RP Behringer & JT Jenkins (eds), Proceedings of the Third International Conference on Powders & Grains, Durham, North Carolina, 18-23 May 1997: Powders & Grains 97. CRC Press, Leiden, Netherlands, pp. 291-294. https://doi.org/10.1201/9781003761693-67

Paine AC. Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation. In Behringer RP, Jenkins JT, editors, Proceedings of the Third International Conference on Powders & Grains, Durham, North Carolina, 18-23 May 1997: Powders & Grains 97. Leiden, Netherlands: CRC Press. 1997. p. 291-294 doi: 10.1201/9781003761693-67

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Calculation of the effective moduli of a random packing of spheres using a perturbation of the uniform strain approximation

Abstract

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