Plastic limit of structures and energy principles. (English) Zbl 1360.74030
Summary: The plastic limit of deformable solids and structures is considered relying on energy arguments as far as advisable. Essential in this connection, the virtual work principle and Drucker’s plasticity postulate. A concise presentation of the static and the kinematic limit load theorems is followed by the demonstration of their rigorous employment for determining the plastic limit in a number of elementary cases. The significance of the deforming geometry for the load-carrying capacity of the system is discussed. The conventional plastic limit is positioned within a wider statement on stability referring to a discretized representation as by the finite element approach.
MSC:
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74G65 | Energy minimization in equilibrium problems in solid mechanics |
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