The influence of the linearisation of the yield surface on the load-bearing capacity of reinforced concrete slabs. (English) Zbl 0946.74066
Summary: This paper demonstrates that the degree of linearisation of the yield surface has a major impact on the bearing capacity, when the lower bound theorem of ideal plasticity for reinforced concrete slabs is combined with linear mathematical programming methods. The finite element discretization is applied, and it is shown that the influence of a refinement of the yield surface linearisation may be more important than the refinement of the geometrical mesh.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74E30 | Composite and mixture properties |
Keywords:
linearisation of yield surface; lower bound theorem; ideal plasticity; reinforced concrete slabs; linear mathematical programming; finite element discretizationReferences:
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| [3] | Krenk, S.; Damkilde, L.; Høyer, O., Limit analysis and optimal design of plates with triangular equlibrium elements, J. Engrg. Mech., 120, 6, 1237-1254 (1994) |
| [4] | Nielsen, M. P., Limit Analysis and Concrete Plasticity (1984), Prentice Hall: Prentice Hall Englewood Cliffs, NJ · Zbl 0558.73024 |
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