Numerical shakedown analysis of axisymmetric sandwich shells: An upper bound formulation. (English) Zbl 0596.73073
Summary: Shakedown analysis of axisymmetric elastic-perfectly plastic sandwich shells is performed here using a new upper bound formulation based on a special form of Koiter’s theorem concerning piecewise linearized yield surfaces. Starting from finite element techniques and the Tresca sandwich yield condition, shakedown analysis is reduced to a linear programming problem which is solved by a powerful simplex algorithm. Numerical results are given for a number of examples and a comparison is made with a previously computed lower bound formulation.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74R20 | Anelastic fracture and damage |
| 74K15 | Membranes |
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
Shakedown analysis; axisymmetric elastic-perfectly plastic sandwich shells; upper bound formulation; special form of Koiter’s theorem; piecewise linearized yield surfaces; Tresca sandwich yield condition; linear programming problem; simplex algorithmReferences:
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