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(Exemplo Callister 9.1) Uma placa relativamente larga de vidro está sujeita a uma tensão de tração de 20 MPa. Se a energia específica superficial e...

(Exemplo Callister 9.1) Uma placa relativamente larga de vidro está sujeita a uma tensão de tração de 20 MPa. Se a energia específica superficial e o módulo de elasticidade for de 0,3 J/m² e 69 Gpa, respectivamente, determine o comprimento máximo de uma trinca superficial que pode ocorrer sem fraturar.


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Exercicios Mecânica da Fratura
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Mecânica da Fratura EngenhariasEngenharias

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Para determinar o comprimento máximo de uma trinca superficial que pode ocorrer sem fraturar, podemos utilizar a equação de Griffith: L = (2 * Y * γ) / (σ^2 * π * E) Onde: - L é o comprimento máximo da trinca; - Y é o fator geométrico, que depende da forma da trinca; - γ é a energia específica superficial; - σ é a tensão aplicada; - E é o módulo de elasticidade. Substituindo os valores fornecidos, temos: Y = 1,12 (para uma trinca reta em uma placa infinita); γ = 0,3 J/m²; σ = 20 MPa = 20 N/mm²; E = 69 GPa = 69.000 N/mm². Assim, temos: L = (2 * 1,12 * 0,3) / ((20)^2 * π * 69.000) = 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