کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
786405 1465710 2006 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three-dimensional constitutive relations for granular materials based on the dilatant double shearing mechanism and the concept of fabric
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Three-dimensional constitutive relations for granular materials based on the dilatant double shearing mechanism and the concept of fabric
چکیده انگلیسی

An extension of a three-dimensional model proposed by Anand and Gu (2000) for amorphous granular materials to include the effects of initial and induced anisotropy is presented in this paper. The proposed model can also be considered as a three-dimensional generalization of a model recently developed by Zhu et al. (2005) for the planar deformation of granular materials. The main ingredients of the model include the dilatant double shearing mechanism (Spencer, 1964 and Mehrabadi and Cowin, 1978), the concept of fabric (Oda, 1972), and an extension of the Mohr–Coulomb yield criterion (Shield, 1955 and Spencer, 1982) to three dimensions.The constitutive equations are implemented in the finite element program ABAQUS/Explicit (ABAQUS, 2001) by developing a user-material subroutine to conduct numerical triaxial compression tests for samples of granular materials with different initial anisotropy. The numerical results agree with the observed behavior and show that the extended constitutive model is capable of capturing the strength anisotropy of granular materials. Employing the anisotropic model developed here, we have also repeated the numerical simulation of the stress state in a static conical sand pile conducted earlier by Anand and Gu (2000). We find that fabric has little or no influence on the vertical stress distribution except at the base of the sand pile where the peak value of this stress is slightly higher than that predicted by the model of Anand and Gu (2000) which does not include the effects of fabric. We also find that the direction of the principal compressive stress changes from vertical at points away from the center of the pile to almost horizontal at points close to the center of the pile. This result provides a possible explanation for the observed dip in the vertical stress distribution in sand piles.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Plasticity - Volume 22, Issue 5, May 2006, Pages 826–857
نویسندگان
, , ,