Concrete plasticity-A historical perspective

摘要

The paper reviews the development of limit analysis, from Galileo through Coulomb to the Mathematical Theory of Plasticity formulated by Hill and Hodge, Prager and Drucker, and independently by Gvozdev. The application to structural concrete slabs was pioneered by Johansen and Gvozdev and extended to walls (membranes), beam shear, and punching shear by Nielsen and the Copenhagen Shear Group. Simultaneous and subsequent advances were-and are-made by research groups in a.o. Zurich, Cambridge, Toronto, Houston, and Lausanne. The concept of yield lines, essential for the development of solutions, is introduced, and the distinction from the conventional notion of cracks is discussed. An overview of applications is given, focusing on slab flexure, in-plane and beam shear, and punching shear.