Modeling domains using Bézier surfaces in plane boundary problems defined by the Navier-Lamé equation with body forces

DOI10.1016/j.enganabound.2011.04.005zbMath1259.74080OpenAlexW2090143113MaRDI QIDQ1944583

Eugeniusz Zieniuk, Agnieszka Bołtuć

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.04.005

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

PIES for 2D elastoplastic problems with singular plastic strain fields ⋮ Parametric integral equation system (PIES) for 2D elastoplastic analysis ⋮ A separation of the boundary geometry from the boundary functions in PIES for 3D problems modeled by the Navier-Lamé equation ⋮ Approximation of the derivatives of solutions in a normalized domain for 2D solids using the PIES method ⋮ Elastoplastic boundary problems in PIES comparing to BEM and FEM ⋮ Concept of modeling uncertainly defined shape of the boundary in two-dimensional boundary value problems and verification of its reliability ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves ⋮ Numerical approximation strategy for solutions and their derivatives for two-dimensional solids ⋮ Automatic generating and spread of a plastic region in PIES

Uses Software

• BEASY

Cites Work

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• Bézier curves in the modification of boundary integral equations (BIE) for potential boundary-values problems.
• Non-element method of solving 2D boundary problems defined on polygonal domains modeled by Navier equation
• BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION
• The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary
• Potential problems with polygonal boundaries by a BEM with parametric linear functions