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A generalized constitutive relation for a randomly packed particle assembly |
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| Authors: | Ching-Lung Liao Tian-Chyuan Chan |
| Institution: | a Bureau of High Speed Rail, Ministry of Transportation, Taipei, Taiwan b China Junior College of Industrial and Commercial Management, Taipei, Taiwan |
| Abstract: | A generalized stress-strain relationship is derived for a randomly packed particle assembly taking into account the effect of particle rotation. A second-order polynomial function is assumed for the field of particle displacement. From the principle of virtual work, stress measures for a granular solid are expressed in terms of contact forces, contact moments, and geometric measures for the particle structure. An explicit stress-strain relationship is derived for isotropic packing with equal-sized particles. Examples of a representative element under torsion and bending are given to demonstrate the applicability of the presently derived higher-order stress-strain relationship. |
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