D-adaptive model for the elasticity problem
Abstract
The paper presents some aspects of the formulation and numerical implementation of combined mathematical model "elastic body - Timoshenko plate". The variational problem is formulated. The existence of solution of combined model is considered. The numerical investigation of the problem is performer by coupling Direct Boundary Element and Finite Element Methods. Numerical example is presented supporting the analysis.
References
[1] P.G. Ciarlet. Plates and Junctions in Elastic Multi-Structures. Paris, 1990.
[2] P.G. Ciarlet, H. Je Dret, R. Nzengwa. Junctions between three-dimensional and two-dimensional linearly elastic structures. J. Math. Pures et Appl, 3: 261-295, 1989.
[3] M. Costabel, E.P. Stephan. Coupling of finite element and boundary element methods for an elasto-plastic interface problem. Preprint No. 1137, Darmstadt, May 1988.
[4] V. Liantse, O. Storoz. About one non-classic boundary value problem of the plate theory. Proc. of National Academy of Sciences of Ukraine, N2, 15-17, 1989.
[5] H.A. Mang, P. Torzicky, Z.Y. Chen. On the mechanical inconsistency of symmetrization of unsymmetric coupling matrices for BEFEM discretizations of solids. Computat. Mech., 4: 301-308, 1989.
[2] P.G. Ciarlet, H. Je Dret, R. Nzengwa. Junctions between three-dimensional and two-dimensional linearly elastic structures. J. Math. Pures et Appl, 3: 261-295, 1989.
[3] M. Costabel, E.P. Stephan. Coupling of finite element and boundary element methods for an elasto-plastic interface problem. Preprint No. 1137, Darmstadt, May 1988.
[4] V. Liantse, O. Storoz. About one non-classic boundary value problem of the plate theory. Proc. of National Academy of Sciences of Ukraine, N2, 15-17, 1989.
[5] H.A. Mang, P. Torzicky, Z.Y. Chen. On the mechanical inconsistency of symmetrization of unsymmetric coupling matrices for BEFEM discretizations of solids. Computat. Mech., 4: 301-308, 1989.
Published
2023-06-07
Issue
pp. 65-74
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Savula, Y. H., & Dyyak, I. van I. (2023). D-adaptive model for the elasticity problem. Computer Assisted Methods in Engineering and Science, 5(1), 65-74. https://cames3.ippt.pan.pl/index.php/cames/article/view/1366
