Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.752043
Title: Computational homogenization for multi scale finite element simulation
Author: Carneiro Molina, Arturo Jose
Awarding Body: Swansea University
Current Institution: Swansea University
Date of Award: 2007
Availability of Full Text:
Access from EThOS:
Full text unavailable from EThOS. Please try the link below.
Access from Institution:
Abstract:
This work presents a general formulation of small and large strain multiscale solid constitutive models based on the volume averaging of the microscopic strain (deformation gradient under large strain) and stress fields over a locally attached microstructure Representative Volume Element (RVE). Both elasto-plastic and hyperelastic behaviour are considered in the modelling of the RVE. A multiscale first-order computational homogenization method for modelling nonlinear deformation processes of evolving multi-phase materials is developed based on the Finite Element discretisation of both macro- and micro-structure. The approach consist of suitably imposing the macroscopic strain on the RVE and then computing the macroscopic stress as the volume average of the microscopic stress field obtained by solving numerically the local (initial) boundary value problem. In this context, the effective (homogenized) tangent modulus is obtained as a function of microstructure stiffness matrix which, in turn, depends upon the material properties and geometrical distribution of the micro-constituents in the RVE. The multiscale material presented here is restricted to two-dimensional problems, however we remark that the extension to three dimensions is trivial. The effectiveness of the proposed strategies is is demonstrated by means of numerical examples.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.752043  DOI: Not available
Share: