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Open AccessDissertation10.47749/t/unicamp.2013.905544

Análise de estabilidade de placas de materiais compósitos laminados usando o método dos elementos de contorno

TL;DRAbstract

This work presents a boundary element method to the analysis of buckling plates. Neither domain discretization, nor particular solutions are necessary in the proposed formulation. This becomes the proposed formulation different from the existent boundary element formulations applied to structural stability analysis. The method is applied to an important problem in computational engineering that is the stability of perforated and non perforated plates of composite laminate materials. The performance is assessed through comparison with finite element results. The proposed formulation agrees quite well with finite element. However, the stability analysis is a much smaller eigenvalue problem if boundary elements are used instead of finite elements, provided that only the boundary and fewer internal points are necessary in the discretization.

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This work presents a boundary element method to the analysis of buckling plates. Neither domain discretization, nor particular solutions are necessary in the proposed formulation. This becomes the proposed formulation different from the existent boundary element formulations applied to structural stability analysis. The method is applied to an important problem in computational engineering that is the stability of perforated and non perforated plates of composite laminate materials. The performance is assessed through comparison with finite element results. The proposed formulation agrees quite well with finite element. However, the stability analysis is a much smaller eigenvalue problem if boundary elements are used instead of finite elements, provided that only the boundary and fewer internal points are necessary in the discretization.

Keywords

DiscretizationFinite element methodEigenvalues and eigenvectorsBucklingStability (learning theory)Boundary element methodMathematicsBoundary value problem

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