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TASK Quarterly
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  3. Vol. 14 No. 4 (2010)
  4. APPLICATION OF PIES AND RECTANGULAR BEZIER SURFACES ´ TO COMPLEX AND NON-HOMOGENEOUS PROBLEMS OF ELASTICITY WITH BODY FORCES

APPLICATION OF PIES AND RECTANGULAR BEZIER SURFACES ´ TO COMPLEX AND NON-HOMOGENEOUS PROBLEMS OF ELASTICITY WITH BODY FORCES

Abstract

This paper presents a variety of applications of an effective way to solve boundary value problems of 2D elasticity with body forces. An overview of the approach is presented, its numerical implementation, as well as a number of applications, ranging from problems defined on elementary shapes to complex problems, e.g. with non-homogeneous material. The results obtained by the parametric integral equation system (PIES) were compared with the analytical and numerical solutions obtained by other computer methods, confirming the effectiveness of the method and its applicability to a variety of problems.

Keywords:

boundary problems, elasticity, body forces, non-homogeneous materials, B´ezier surfaces, parametric integral equation system (PIES)

Details

Issue
Vol. 14 No. 4 (2010)
Section
Research article
Published
2010-12-29
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biographies

AGNIESZKA BOŁTUĆ,
University of Białystok, Faculty of Mathematics and Computer Science



EUGENIUSZ ZIENIUK,
University of Białystok, Faculty of Mathematics and Computer Science



Authors

  • AGNIESZKA BOŁTUĆ

    University of Białystok, Faculty of Mathematics and Computer Science

  • EUGENIUSZ ZIENIUK

    University of Białystok, Faculty of Mathematics and Computer Science

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