Application of two-state \(M\)-integral for analysis of adhesive lap joints (Q2770893)

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scientific article; zbMATH DE number 1704321
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Application of two-state \(M\)-integral for analysis of adhesive lap joints
scientific article; zbMATH DE number 1704321

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    4 March 2004
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    composite wedge
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    rectangular notch
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    two-state \(M\)-integral
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    finite element method
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    stress intensity factors
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    remote tension
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    Application of two-state \(M\)-integral for analysis of adhesive lap joints (English)
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    Adhesive double lap joint is idealized and presented as a composite plane build up by three layers with different properties and weakened by a rectangular step notch. The boundaries of layers are assumed to be jointed due to adhesive properties of materials. The authors apply the \(M\)-integral [\textit{J. K. Knowles} and \textit{E. Sternberg}, Arch. Ration. Mech. Anal. 44, 187-211 (1972; Zbl 0232.73017)] in the case of a superposition of two independent elastic states, and define the resulting integral as two-state \(M\)-integral. The two-state \(M\)-integral and finite element method are utilized for computing the notch stress intensity factors when one layer is under remote tension.
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