On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

Mathematical Models in Engineering

Lenka Siváková¹  Nepomuk Krenn²  Victor A. Kovtunenko³  Anna V. Zubkova³  Erich Bauer⁴  Pavel Krejčí⁵ 

[1] Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha 6, Czech Republic;Graz University of Technology, Rechbauerstr 12, 8010 Graz, Austria;Institute for Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr 36, 8010 Graz, Austria;Institute of Applied Mechanics, Graz University of Technology, Technikerstr.4, 8010 Graz, Austria;Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic;

关键词: granular materials;    hypoplasticity;    proportional deformation;    rate-independence;    non-linear ode system;    analytic solution;    feasible cone;   

DOI  :  10.21595/mme.2019.21220

来源: DOAJ

【 摘 要 】

We study stress paths that are obtained under proportional deformations within the rate-independent hypoplasticity theory of Kolymbas type describing granular materials like soil and broken rock. For a particular simplified hypoplastic constitutive model by Bauer, a closed-form solution of the corresponding system of non-linear ordinary differential equations is available. Since only negative principal stresses are relevant for the granular body, the feasibility of the solution consistent with physics is investigated in dependence of the direction of a proportional strain path and constitutive parameters of the model.

【 授权许可】

Unknown