The procedures described in this paper for determining a limit load is based on Mura’s extended variational formulation. Used in conjunction with linear elastic finite element analyses, the approach provides a robust method to estimate limit loads of mechanical components and structures. The secant modulus of the various elements in a finite element discretization scheme is prescribed in order to simulate the distributed effect of the plastic flow parameter, The upper and lower-bound multipliers and obtained using this formulation converge to near exact values. By using the notion of “leap-frogging” to limit state, an improved lower-bound multiplier, can be obtained. The condition for which is a reasonable lower bound is discussed in this paper. The method is applied to component configurations such as cylinder, torispherical head, indeterminate beam, and a cracked specimen.
Limit Load Estimation Using Plastic Flow Parameter in Repeated Elastic Finite Element Analyses
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division, January 29, 2001; revised manuscript received June 5, 2002. Associate Editor: D. P. Jones.
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Pan, L., and Seshadri, R. (November 8, 2002). "Limit Load Estimation Using Plastic Flow Parameter in Repeated Elastic Finite Element Analyses ." ASME. J. Pressure Vessel Technol. November 2002; 124(4): 433–439. https://doi.org/10.1115/1.1499960
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