Application of PIES and Rectangular Bezier Surfaces to Complex and Non-homogeneous Problems of Elasticity with Body Forces

• Autorzy: Boltuc A. , Zieniuk E.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

boundary problems; elasticity; body forces; non-homogeneous materials

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2010
• Tom: Vol. 14, No 4
• Strony: 363--376
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Boltuc A.

autor

Zieniuk E.

• Faculty of Mathematics and Computer Science, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland,

Bibliografia

• [1] Becker A A 1992 The Boundary Element Method in Engineering: A Complete Course, McGraw-Hill, London
• [2] Brebbia C A, Telles J C F and Wrobel L C 1984 Boundary Element Techniques, Theory and Applications in Engineering, Springer, New York
• [3] Neves A C and Brebbia C A 1991 Int. J. Num. Meth. Eng. 31 709
• [4] Ameen M 2005 Computational Elasticity, Alpha Science International Ltd., Harrow, UK
• [5] Burczyński T 1995 The Boundary Element Method in Mechanics,WNT,Warsaw (in Polish)
• [6] Zienkiewicz O 1977 The Finite Element Methods, McGraw-Hill, London
• [7] Zieniuk E 2001 Eng. Anal. Boundary Elements 25 185
• [8] Zieniuk E and Bołtuć A 2006 J. Comp. Acoustics 14 (3) 1
• [9] Zieniuk E and Bołtuć A 2006 Int. J. Solids and Structures 43 7939
• [10] Bołtuć A and Zieniuk E 2010 Modelowanie Inżynierskie 8 (39) 19 (in Polish)
• [11] Bołtuć A 2008 Application of Parametric Integral Equation System with Non-element Modeling of the Boundary Geometry to Solving Plane Problems of Elasticity, PhD Thesis, Bialystok University of Technology, Poland (in Polish)
• [12] Zieniuk E and Bołtuć A 2008 Modelowanie Inżynierskie 4 (35) 155 (in Polish)
• [13] Farin G 1990 Curves and Surfaces for computer Aided Geometric Design, Academic Press Inc., San Diego
• [14] Foley J D, van Dam A, Feiner S K, Hughes J F and Philips R L 2001 Introduction to Computer Graphics, WNT, Warsaw (in Polish)
• [15] Stroud A H and Secrest D 1966 Gaussian Quadrature Formulas, Prentice-Hall, London
• [16] Katsikadelis J T and Kandilas C B 1997 Computers & Structures 64 (1–4) 305
• [17] Userguide of BEASY Mechanical Designe 2007, UK
• [18] Ochiai Y 2010 Int. J. Num. Meth. Biomed. Engng 26 (10) 1331
• [19] Ochiai Y, Nisitani H and Sekiya T 1996 Eng. Anal. Boundary Elements 17 295