SEDL / STP / STP700-EB / STP36984S

Crack Analysis of Power Hardening Materials Using a Penalty Function and Superposition Method

Yagawa, G
Associated professor, graduate student, and professor, University of Tokyo, Tokyo,

Aizawa, T
Associated professor, graduate student, and professor, University of Tokyo, Tokyo,

Ando, Y
Associated professor, graduate student, and professor, University of Tokyo, Tokyo,

Pages: 14    Published: Jan 1980

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Abstract

Crack analysis is performed for plates characterized by the power hardening material law. A new superposition method of the analytical and the finite element models is proposed with the use of the penalty function, which is frequently adopted to solve the optimization problems. The characteristic distributions of the stress and strain around the crack tip are calculated and compared with the analytical results. Numerical discussion is also made regarding the effects of the crack length to plate width ratio and the power exponent in the hardening law on the nondimensional values of the J-integral, the crack opening displacement, and the residual load point displacement.