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Title: Aspects of continuum modelling and numerical simulation of internal and surface damage in finitely deformed solids
Author: De Souza Neto, E. A.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1994
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Issues related to the constitutive modelling and numerical simulation of internal and surface damage in finitely deformed solids are investigated in this thesis. Attention is focused on the development of a model for elastic damage in filled polymers, a model for finite strain elastoplastic damage and a theory for frictional contact accounting for surface damage caused by wear in coated steel sheets. Particular emphasis is given to the computational aspects relevant to the efficient numerical simulation of the proposed theories in large scale problems. The framework of phenomenological Continuum Damage Mechanics is exploited in the derivation of the constitutive models for internal damage in polymers and ductile metals. The same methodology, extended to the description of boundary surface behaviour is employed to describe the phenomenon of frictional wear in coated steel sheets undergoing large sliding distances. With regard to the computational treatment of the proposed models, the algorithms for numerical integration of the corresponding path dependent constitutive equations are discussed in detail. In particular, the algorithms used to integrate the elastoplastic damage and the frictional wear constitutive relations resemble the classical return mappings of infinitesimal elastoplasticity. The strategy for numerical simulation of the associated incremental boundary value problems relies on fully implicit displacement based finite element procedures. In this context, the Newton-Raphson scheme is employed in the iterative solution of the corresponding non-linear finite element equations. The consistent linearization of the field equations, crucial for preserving the quadratic rates of convergence of the Newton-Raphson algorithm, is carried out in detail for each of the models derived in this thesis. The robustness and efficiency of the proposed constitutive-computational framework is illustrated by means of numerical examples. Some results are compared with experiments.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available