Propriedades efetivas de ordem superior de meios unidimensionais microperiódicos funcionalmente graduados localmente lineares
DOI:
https://doi.org/10.5540/03.2025.011.01.0466Keywords:
Meio Microperiódico Funcionalmente Graduado Localmente Linear, Propriedades Efetivas de Ordem Superior, Método de Homogeneização Assintótica, Densidade de Energia Efetiva Escalarmente Invariante, Efeito de EscalaAbstract
Apresenta-se a aplicação de uma metodologia de obtenção das propriedades efetivas de ordem superior de uma barra elástica microperiódica funcionalmente graduada com comportamentos constitutivo linear e efetivo não linear com efeitos de gradiente de segunda ordem. Tal metodologia baseia-se na homogeneização assintótica e na invariância da densidade de energia efetiva com relação às escalas estruturais e tem sido aplicada com sucesso a materiais compósitos. Um exemplo é apresentado para ilustrar o efeito de escala, isto é, o fato experimentalmente observado de que as propriedades efetivas de ordem superior são desprezáveis em presença de separação de escalas estruturais, enquanto tais propriedades devem ser consideradas quando a escala da heterogeneidade é da mesma ordem que a escala do meio como um todo.
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