Limit Loads Using Extended Variational Concepts in Plasticity

Author:

Seshadri R.1

Affiliation:

1. Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1B 3X5

Abstract

Lower-bound limit load estimates are relevant from a standpoint of pressure component design, and are acceptable quantities for ascertaining primary stress limits. Elastic modulus adjustment procedures, used in conjunction with linear elastic finite element analyses, generate both statically admissible stress distributions and kinematically admissible strain distributions. Mura’s variational formulation for determining limit loads, originally developed as an alternative to the classical method, is extended further by allowing the elastic calculated stress fields to exceed yield provided they satisfy the “integral mean of yield” criterion. Consequently, improved lower-bound values for limit loads are obtained by solving a simple quadratic equation. The improved lower-bound limit load determination procedure, which is designated “the mα method,” is applied to symmetric as well as nonsymmetric components. [S0094-9930(00)01103-3]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference15 articles.

1. ASME Boiler and Pressure Vessel Code, 1998, Section III, Division 1, The American Society of Mechanical Engineers, New York, NY.

2. Paster, T. P., and Hechmer, J. L., 1994, “ASME Task Group Report on Primary Stress,” Proc., ASME PVP Conf., San Diego, CA, Vol. 277, pp. 67–68.

3. Ainsworth, R. A., 1989, “Approximate Nonlinear Fracture Mechanics Calculations using Reference Stress Techniques,” Proc., ASME PVP Conf., Honolulu, Hawaii, Vol. 170, pp. 13–19.

4. Jones, G. L., and Dhalla, A. K., 1981, “Classification of Clamp Induced Stresses in Thin Walled Pipe,” Proc. ASME PVP Conf., Denver, CO, Vol. 81, pp. 17–23.

5. Marriott, D. L., 1988, “Evaluation of Deformation or Load Control of Stresses under Inelastic Conditions using Elastic Finite Element Stress Analysis,” Proc. ASME PVP Conf., Pittsburgh, PA, Vol. 136, pp. 3–9.

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