Modelling the stress vector continuity at the interface of bonded joints
Source abstract
Abstract
In this paper we present a technique based on the finite element method, formulated in displacement, that enables stress conditions to be imposed. We use the method to impose the equilibrium condition at the interface of two bonded joints. We also show how the method reduces the times for repetitive calculations of structures such as bonded assemblies. We show that a calculation by standard FEM can have errors in the case of heterogeneous structures. We give the example of the calculation of a single lap joint and compare this with the mixed finite element method.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Advanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Topology Optimization in Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (18)
Show source-provided references
1. Adams · 1984
2. Régularisation du système de l’équilibre des structures élastiques discrètes
3. Calcul numérique de la quasi-inverse d'une matrice réelle symétrique semi-définie positive
4. Réanalyse de l’équilibre des structures par inverse partielle de Moore–Penrose
5. A generalized inverse for matrices10.1017/S0305004100030401 ↗
6. Combpell · 1980
7. Nashed MZ, editor. Generalized inverses and applications. London: Academic Press, 1976.10.1016/B978-0-12-514250-2.50018-4 ↗
8. Cheikh M, Loredo A, Aivazzedeh S, Verchery G. On an exact calculation method for structural modification. In: Topping BHV, Kumar B, editors. Developments in analysis and design using finite element methods. Proceeding of the seventh international conference on civil and structural engineering computing, 13–15 September 1999, Oxford, UK. Civil-Comp Ltd, 1999. p. 33–41.
9. Ladeveze P. Comparaison de modèles de milieux continus. Thèse de l'Université Pierre et Marie Curie, 1975.
10. A posteriori error estimates for the finite element method10.1002/nme.1620121010 ↗
11. A simple error estimator and adaptive procedure for practical engineering analysis10.1002/nme.1620240206 ↗
12. Error estimates and mesh optimization for finite element computation10.1108/eb023827 ↗
13. An automatic procedure for finite element analysis in 2D elasticity10.1016/0045-7825(94)00699-N ↗
14. Sur l'adaptativité des maillages à base de quadrilatères. application â l'automatisation de calculs par éléments finis en élasticité 2D10.1080/12506559.1994.10511136 ↗
15. Accuracy and optimal meshes in finite element computation for nearly incompressible materials10.1016/0045-7825(92)90057-Q ↗
16. Composite structure analysis with micro-computers using classical and interface finite elements10.1016/0898-1221(85)90022-7 ↗
17. Esteves JL. joint design: Programme d'aide à la conception des assemblages collés utilisant les éléments finis mixtes d'interfaces. Thèse d'université, Université de Bourgogne, 1995.
18. Reanalysis of structures with modification of the stiffness, application to the modeling of damage in unidirectional composites10.1016/S0045-7949(00)00047-X ↗