Boundary Value Problems in Thermo Viscoplasticity
In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $\theta $ which may be interpreted as the absolute temperature....
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| Format: | Article |
| Language: | English |
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University of Maragheh
2021-12-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_246178_f12cdb82487b0b2d05c87715398f0e46.pdf |
| _version_ | 1818018711930404864 |
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| author | Ilyas Boukaroura Seddik Djabi Samia Khelladi |
| author_facet | Ilyas Boukaroura Seddik Djabi Samia Khelladi |
| author_sort | Ilyas Boukaroura |
| collection | DOAJ |
| description | In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $\theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space. |
| first_indexed | 2024-04-14T07:42:28Z |
| format | Article |
| id | doaj.art-aa8c5f026c854563a6b934f89ccbdfa6 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-14T07:42:28Z |
| publishDate | 2021-12-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-aa8c5f026c854563a6b934f89ccbdfa62022-12-22T02:05:26ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002021-12-01184193010.22130/scma.2021.127385.797246178Boundary Value Problems in Thermo ViscoplasticityIlyas Boukaroura0Seddik Djabi1Samia Khelladi2Department of Mathematics, Faculty of Science, Applied Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, AlgeriaDepartment of Mathematics, Faculty of Science, Applied Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, AlgeriaDepartment of Mathematics, Faculty of Science, Fundamental and Numerical Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, AlgeriaIn this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $\theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.https://scma.maragheh.ac.ir/article_246178_f12cdb82487b0b2d05c87715398f0e46.pdfviscoplastictemperaturevariational inequalitycauchy-lipschitz method |
| spellingShingle | Ilyas Boukaroura Seddik Djabi Samia Khelladi Boundary Value Problems in Thermo Viscoplasticity Sahand Communications in Mathematical Analysis viscoplastic temperature variational inequality cauchy-lipschitz method |
| title | Boundary Value Problems in Thermo Viscoplasticity |
| title_full | Boundary Value Problems in Thermo Viscoplasticity |
| title_fullStr | Boundary Value Problems in Thermo Viscoplasticity |
| title_full_unstemmed | Boundary Value Problems in Thermo Viscoplasticity |
| title_short | Boundary Value Problems in Thermo Viscoplasticity |
| title_sort | boundary value problems in thermo viscoplasticity |
| topic | viscoplastic temperature variational inequality cauchy-lipschitz method |
| url | https://scma.maragheh.ac.ir/article_246178_f12cdb82487b0b2d05c87715398f0e46.pdf |
| work_keys_str_mv | AT ilyasboukaroura boundaryvalueproblemsinthermoviscoplasticity AT seddikdjabi boundaryvalueproblemsinthermoviscoplasticity AT samiakhelladi boundaryvalueproblemsinthermoviscoplasticity |