A Preliminary Example: A Beam in Traction

A beam in traction serves as our first example illustrating how the method of large time increments works. The simplicity of such a model permits us to appreciate only the first two principles P1 and P2 of the method. No conclusion can be drawn about the principle P3 which consists of exploiting some space-time approximations having physical content. The different steps of the method and the results obtained at each step are detailed for two types of materials: viscoplastic and (hyper)elastic. The analysis is quasi-static.