Gradient of Soil Constitutive Model


Article Preview

For the soil is a very complex natural material, significant strain gradient effect exist in soil analysis. Based on the "gradient" phenomenon, we add the plastic strain gradient hardening item into the traditional Cambridge yield surface. By using the consistency conditions and associated flow rule, we get the explicit expression of plastic strain gradient stiffness matrix. And the finite element method of plastic strain gradient is also shown in this article. Plastic strain gradient is actually a phenomenological non-local model containing microstructure information of the material. It may overcome the difficulties in simulating the gradient phenomenon by traditional mechanical model.



Advanced Materials Research (Volumes 168-170)

Edited by:

Lijuan Li




W. X. Ma and Y. G. Fang, "Gradient of Soil Constitutive Model", Advanced Materials Research, Vols. 168-170, pp. 1126-1129, 2011

Online since:

December 2010




[1] XuSongLin: Chinese Journal of Rock Mechanics and Engineering Vol. 20(2)(2001) , p.58. In Chinese.

[2] ChenGang, Yishan Pan: Rock and Soil Mechanics Vol. 5(2004), p.694. In Chinese.

[3] Finno R J,Harris W W,Mooney M: Geotechnique Vol. 47(1997), p.149.

[4] Nemat-Nasser S,Okada N: Geotechnique Vol. 51(9)(2001), p.753.

[5] Fleck N A, Hutchinson J W: Adv. Applied Mech Vol. 33 (1997), p.295.

[6] Gao H, Huang Y, Nix W D, Hutchinson J W: J. Mech. Phys. Solid Vol. 47 (1999), p.1239.

[7] Kezhi Huang, Yonggang Huang: Solid Constitutive (Tsinghua University Press, China 1999). In Chinese.

[8] Fleck N A, Hutchinson J W: J. Mech. Phys. Solids Vol. 41 (1993), p.1825.

[9] Hong T, Smith J R, Srolovitz D J: Acta metal. Mater Vol. 7 (1995), p.2721.

[10] Evans A G, Hutchinson J W, Wei Y: Acta Mater Vol. 15 (1999), p.4093.

[11] Lipkin D M, Clarke D R, Evans A G: Acta Mater Vol. 13 (1998), p.4835.

[12] Wei Y, Hutchinson J W: J. Mech. Phys. Solids Vol. 7 (1997), p.1137.

[13] Zheng Yingren ect.: The Principles of Geotechnical Plastic Mechanics (China Architecture and Building Press, China 2002). In Chinese.

[14] Xucheng Wang: Finite Element Method (Tsinghua University Press, China 2003 ). In Chinese.