混合モードき裂の最大エネルギー解放率の解析的近似式の提唱 : セラミックス部品の信頼性評価に関連して

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Use of some mixed mode fracture criterion becomes necessary when reliability evaluation of ceramic components is made based on flaw distributions, Since most components are subjected to multy-axial stresses in service conditions. The maximum energy release rate criterion is one of the wellknown criteria for mixed mode fracture. In the case of amixed mode crack, the energy release rate, G, takes a maximum value, G_<max>, When the crack extends in a Certain direction. The maximum energy release rate criterion (G_<max> criterion) assumes that unstable crack extension occurs when G_<max> reaches a certain critical value. Unfortunately, areliable analytical expression of G_<max> in terms of the stress intensity factors has not yet been obtained. This is an obstacle to analytical treatments based on G_<max> criterion. Thus, it was attempted in this paper to derive arlanalytical expression of G_<max> for a two-dimenskal crack. The approxin a teanalytical expression G_<max> = (K_I^2+3K_<II>^2+K_I√<K_I^2 + 6_<II>^2>) /2E' was obtained, Where K_I (>0) and K_<II>, are the mode II and modeII stress intensity factors, and E'=E for plane stress and E'=E/(1-ν^2) for plane strain with E and ν being usual elastic constants. From com parison of this expression with the exactvalue of G_<max> evaluated numerically, it was shown that the Proposed expression is quiteaccurate. It was also shown that the expression of G_<max> given by Hellen and used by Lamon for reliability evaluation of Ceramic components is not adequate.
社団法人日本材料学会の論文
1991-02-15

混合モードき裂の最大エネルギー解放率の解析的近似式の提唱 : セラミックス部品の信頼性評価に関連して

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