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The BEM and FEM applied for analysis of viscoplastics problems in the anisotropic and composites medias

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Author(s):
Leandro Vanalli
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
Defense date:
Examining board members:
Humberto Breves Coda; Aloisio Ernesto Assan; Jonas de Carvalho; Joao Batista de Paiva; Renato Pavanello
Advisor: Humberto Breves Coda
Abstract

The objective of the present work is the development of formulations and computational codes that enable the static bidimensional analysis of the viscoplastic anisotropic medias reinforced, or not, by fibers. Specifically, the numerical analysis involve applications of the boundary elements method (BEM) and finite elements (FEM), comparing the results obtained with analytical and experimental solutions available in the literature, allowing the understanding of general problems in anisotropic media. Two-dimensional finite elements with cubic and quadrate approximations for the displacements are used to model domains. Reinforcements are modeled by truss finite elements. The developed formulation provides the consideration of random distribution of the fibers, without any additional degree of freedom of the problem. With the BEM, the plasticity and viscoplasticity analysis in general anisotropic medias is originally developed in the present work, emphasizing the consideration of non-associative plastic flow and the treatment of viscosity just with boundary integrals, without domain approximation. Various examples are shown in order to verify the efficiency of the proposed formulation and developed computational codes (AU)