Finite superelements method for elasticity problems
A Fedorenko Finite Superelements Method (FSEM) for 3D linear elasticity problems is considered. We present special weak statement for traces of original problem solution which natural Bubnov‐Galerkin approximation leads to the FSEM. Some applications of the FSEM for the problems of mechanics of comp...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2005-09-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9676 |
| _version_ | 1818322340787781632 |
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| author | M. Galanin E. Savenkov J. Temis |
| author_facet | M. Galanin E. Savenkov J. Temis |
| author_sort | M. Galanin |
| collection | DOAJ |
| description | A Fedorenko Finite Superelements Method (FSEM) for 3D linear elasticity problems is considered. We present special weak statement for traces of original problem solution which natural Bubnov‐Galerkin approximation leads to the FSEM. Some applications of the FSEM for the problems of mechanics of composites are considered and results of numerical experiments are presented.
Straipsnyje nagrinejamas Fedorenkos baigtiniu superelementu metodas trimačiams tiesiniams elastiškumo uždaviniams. Pasiulytas specialus silpnasis sprendinio pdsako formulavimas, kuris iprasta Bubnovo‐Galerkino aproksimacija susieja su baigtiniu superelementu metodu. Nagrinejami kai kurie baigtiniu superelementu metodo taikymai kompozitu mechanikos uždaviniams. Pateikti skaitinio eksperimento rezultatai.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-13T10:55:15Z |
| format | Article |
| id | doaj.art-e979a7de77a54810bd14f7f84c0abd5f |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-13T10:55:15Z |
| publishDate | 2005-09-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-e979a7de77a54810bd14f7f84c0abd5f2022-12-21T23:49:36ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102005-09-0110310.3846/13926292.2005.9637284Finite superelements method for elasticity problemsM. Galanin0E. Savenkov1J. Temis2Keldysh Institute of Applied Mathematics , RAS , Miusskaya Sq., 4, Moscow, 125047, RussiaKeldysh Institute of Applied Mathematics , RAS , Miusskaya Sq., 4, Moscow, 125047, RussiaCentral Institute of Aviation Motors n.a. P.I. Baranov , Aviamotornaya st., 2, Moscow, 111116, RussiaA Fedorenko Finite Superelements Method (FSEM) for 3D linear elasticity problems is considered. We present special weak statement for traces of original problem solution which natural Bubnov‐Galerkin approximation leads to the FSEM. Some applications of the FSEM for the problems of mechanics of composites are considered and results of numerical experiments are presented. Straipsnyje nagrinejamas Fedorenkos baigtiniu superelementu metodas trimačiams tiesiniams elastiškumo uždaviniams. Pasiulytas specialus silpnasis sprendinio pdsako formulavimas, kuris iprasta Bubnovo‐Galerkino aproksimacija susieja su baigtiniu superelementu metodu. Nagrinejami kai kurie baigtiniu superelementu metodo taikymai kompozitu mechanikos uždaviniams. Pateikti skaitinio eksperimento rezultatai. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9676Finite elements methodfinite superelements methodelasticity problems |
| spellingShingle | M. Galanin E. Savenkov J. Temis Finite superelements method for elasticity problems Mathematical Modelling and Analysis Finite elements method finite superelements method elasticity problems |
| title | Finite superelements method for elasticity problems |
| title_full | Finite superelements method for elasticity problems |
| title_fullStr | Finite superelements method for elasticity problems |
| title_full_unstemmed | Finite superelements method for elasticity problems |
| title_short | Finite superelements method for elasticity problems |
| title_sort | finite superelements method for elasticity problems |
| topic | Finite elements method finite superelements method elasticity problems |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9676 |
| work_keys_str_mv | AT mgalanin finitesuperelementsmethodforelasticityproblems AT esavenkov finitesuperelementsmethodforelasticityproblems AT jtemis finitesuperelementsmethodforelasticityproblems |