On the numerical assessment of the safety factor of elastic-plastic structures under variable loading. (English) Zbl 0891.73051

Groß-Weege, Johannes

Int. J. Mech. Sci. 39, No. 4, 417-433 (1997).

Summary: A finite element method for the shakedown analysis of two-dimensional structures under combined mechanical and thermal loading is presented. Linear elastic-perfectly plastic as well as linear elastic-limited kinematical hardening material behaviour is taken into account. The discretized shakedown problem is solved numerically with the reduced basis technique. A new method for the generation of reduced base vectors is presented. Numerical examples illustrate the proposed method.

MSC:

74K99	Thin bodies, structures
74R20	Anelastic fracture and damage
74S05	Finite element methods applied to problems in solid mechanics
62N05	Reliability and life testing
80A20	Heat and mass transfer, heat flow (MSC2010)

Keywords:

mathematical programming; shakedown analysis; linear elastic-limited kinematical hardening material; discretized shakedown problem; reduced basis technique