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Title: Finite element analysis of structured media
Author: Lee, J.-S.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1993
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The main objective of this research is to develop techniques for the analysis of the load-deformation behaviour of bodies made of structured and composite media using the finite element method and the homogenisation technique. The conventional finite element method is not economical for the analysis of structured and composite media as a large number of elements are required to model different constituents and their interfaces. In this study, an approximate method called homogenisation technique, in which average mechanical characteristics of the structured media are considered, is developed through appropriate equilibrium as well as kinematic conditions, and the resulting constitutive relations are implemented in a finite element program. This technique has been applied to a number of engineering problems and, through numerical examples, the versatility of the proposed model for the analysis of structured media has been demonstrated. Comparison between the proposed model and the conventional methods are next made to illustrate the simplicity and effectiveness of the proposed homogenisation technique. The following conclusions have been reached: For the problems of media having pre-existing discontinuities such as rock joints and interfaces between two materials, the dimensions of the zone of homogenisation along the discontinuity do not show significant difference on the overall behaviour of the structure. For the problems of media in which a structure or fabric evolves during the process of deformation such as tensile fracturing and shear localisation, the proposed model shows mesh-independent behaviour and results appear to be in good agreement with the experimental results in many cases.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available