On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials
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 corre...
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JVE International
2019-12-01
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| Series: | Mathematical Models in Engineering |
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| Online Access: | https://www.jvejournals.com/article/21220 |
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doaj-a9af259871a146f288f85473a0757b9f2020-11-25T01:33:52ZengJVE InternationalMathematical Models in Engineering2351-52792424-46272019-12-015411912610.21595/mme.2019.2122021220On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materialsVictor A. Kovtunenko0Pavel Krejčí1Nepomuk Krenn2Erich Bauer3Lenka Siváková4Anna V. Zubkova5Institute for Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr 36, 8010 Graz, AustriaInstitute of Mathematics, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech RepublicGraz University of Technology, Rechbauerstr 12, 8010 Graz, AustriaInstitute of Applied Mechanics, Graz University of Technology, Technikerstr.4, 8010 Graz, AustriaFaculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha 6, Czech RepublicInstitute for Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr 36, 8010 Graz, AustriaWe 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.https://www.jvejournals.com/article/21220granular materialshypoplasticityproportional deformationrate-independencenon-linear ode systemanalytic solutionfeasible cone |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Victor A. Kovtunenko Pavel Krejčí Nepomuk Krenn Erich Bauer Lenka Siváková Anna V. Zubkova |
| spellingShingle |
Victor A. Kovtunenko Pavel Krejčí Nepomuk Krenn Erich Bauer Lenka Siváková Anna V. Zubkova On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials Mathematical Models in Engineering granular materials hypoplasticity proportional deformation rate-independence non-linear ode system analytic solution feasible cone |
| author_facet |
Victor A. Kovtunenko Pavel Krejčí Nepomuk Krenn Erich Bauer Lenka Siváková Anna V. Zubkova |
| author_sort |
Victor A. Kovtunenko |
| title |
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| title_short |
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| title_full |
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| title_fullStr |
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| title_full_unstemmed |
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| title_sort |
on feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials |
| publisher |
JVE International |
| series |
Mathematical Models in Engineering |
| issn |
2351-5279 2424-4627 |
| publishDate |
2019-12-01 |
| description |
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. |
| topic |
granular materials hypoplasticity proportional deformation rate-independence non-linear ode system analytic solution feasible cone |
| url |
https://www.jvejournals.com/article/21220 |
| work_keys_str_mv |
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