Generalization of Tsytovich strength conditions for soils of anisotropic structure
The problem of developing a new generalized strength (plasticity)condition is applied to soils of anisotropic, in particular a transversal - isotropic (trans - structural) structure. This condition is derived by generalizing the known Coulomb - Moore plasticity condition σc for two directions: alon...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2019-03-01
|
| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/315 |
| _version_ | 1827395699432488960 |
|---|---|
| author | R.B. Baimakhan A.R. Baimakhan Z.M. Abdiakhmetova A.A. Seynasinova G.M. Baimakhanova |
| author_facet | R.B. Baimakhan A.R. Baimakhan Z.M. Abdiakhmetova A.A. Seynasinova G.M. Baimakhanova |
| author_sort | R.B. Baimakhan |
| collection | DOAJ |
| description |
The problem of developing a new generalized strength (plasticity)condition is applied to soils of anisotropic, in particular a transversal - isotropic (trans - structural) structure. This condition is derived by generalizing the known Coulomb - Moore plasticity condition σc for two directions: along the layers parallel and crosswise to layers, that is, for the perpendicular directions to the layers, relative to the isotropy plane for the transtropic soil, systematized for the first time by A.K. Bugrov and A.I. Golubev. It is proposed to analyze the possibility of generalizing the conditions of plasticity (strength) in the principal stresses σ1 and σ2, as well as on the values of the critical principal stress σ1c and σ2c, proposed and developed in due time for soils of the isotropic structure N.A. Tsytovich and N.S. Bulychev. Following the approach of W. Witke, who proposed to apply such a criterion to rocks of an orthotropic structure, the formulated criterion is proposed, which allows to determine the moment of the onset of plastic destruction of anisotropic soil and the direction of its further spread from the initial point. The table contains critical values of anisotropic soil in two orthogonal directions of the coordinate axes, calculated with the help of the proposed new criterion, which allows us to solve a new class of problems of fracture mechanics.
|
| first_indexed | 2024-03-08T18:39:30Z |
| format | Article |
| id | doaj.art-fb5bea3e59124aa5b4050e70396e44fb |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:30Z |
| publishDate | 2019-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-fb5bea3e59124aa5b4050e70396e44fb2023-12-29T10:20:57ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112019-03-0193110.31489/2019m1/108-114Generalization of Tsytovich strength conditions for soils of anisotropic structureR.B. BaimakhanA.R. BaimakhanZ.M. AbdiakhmetovaA.A. SeynasinovaG.M. Baimakhanova The problem of developing a new generalized strength (plasticity)condition is applied to soils of anisotropic, in particular a transversal - isotropic (trans - structural) structure. This condition is derived by generalizing the known Coulomb - Moore plasticity condition σc for two directions: along the layers parallel and crosswise to layers, that is, for the perpendicular directions to the layers, relative to the isotropy plane for the transtropic soil, systematized for the first time by A.K. Bugrov and A.I. Golubev. It is proposed to analyze the possibility of generalizing the conditions of plasticity (strength) in the principal stresses σ1 and σ2, as well as on the values of the critical principal stress σ1c and σ2c, proposed and developed in due time for soils of the isotropic structure N.A. Tsytovich and N.S. Bulychev. Following the approach of W. Witke, who proposed to apply such a criterion to rocks of an orthotropic structure, the formulated criterion is proposed, which allows to determine the moment of the onset of plastic destruction of anisotropic soil and the direction of its further spread from the initial point. The table contains critical values of anisotropic soil in two orthogonal directions of the coordinate axes, calculated with the help of the proposed new criterion, which allows us to solve a new class of problems of fracture mechanics. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/315soilloamisotropyanisotropyplasticityisotropy plane |
| spellingShingle | R.B. Baimakhan A.R. Baimakhan Z.M. Abdiakhmetova A.A. Seynasinova G.M. Baimakhanova Generalization of Tsytovich strength conditions for soils of anisotropic structure Қарағанды университетінің хабаршысы. Математика сериясы soil loam isotropy anisotropy plasticity isotropy plane |
| title | Generalization of Tsytovich strength conditions for soils of anisotropic structure |
| title_full | Generalization of Tsytovich strength conditions for soils of anisotropic structure |
| title_fullStr | Generalization of Tsytovich strength conditions for soils of anisotropic structure |
| title_full_unstemmed | Generalization of Tsytovich strength conditions for soils of anisotropic structure |
| title_short | Generalization of Tsytovich strength conditions for soils of anisotropic structure |
| title_sort | generalization of tsytovich strength conditions for soils of anisotropic structure |
| topic | soil loam isotropy anisotropy plasticity isotropy plane |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/315 |
| work_keys_str_mv | AT rbbaimakhan generalizationoftsytovichstrengthconditionsforsoilsofanisotropicstructure AT arbaimakhan generalizationoftsytovichstrengthconditionsforsoilsofanisotropicstructure AT zmabdiakhmetova generalizationoftsytovichstrengthconditionsforsoilsofanisotropicstructure AT aaseynasinova generalizationoftsytovichstrengthconditionsforsoilsofanisotropicstructure AT gmbaimakhanova generalizationoftsytovichstrengthconditionsforsoilsofanisotropicstructure |