Analytical Modelling In Inelasticity

Abstract

Analytical modelling of inelastic behavior is treated as a sequence of a constitutive analysis, identification testing and solution of the corresponding inverse problem. Models of rate—independent plasticity are studied as an example. The constitutive analysis based on the internal variables approach provides a whole spectrum of models of plastic behavior with various degrees of flexibility. Higher flexibility enables more adequate modelling. However, the complexity of the corresponding idefication testing program and solution of the inverse problem grows with increasing flexibility very rapidly. Identification tests and inverse problems for three models of the spectrum are conceptually analysed. The ranges of validity of the models are estimated. A possibility to use inhomogeneous identification tests, each of which contains far more information then a homogeneous one, is studied. Practical problems connected with actual application of the suggested procedure of modelling is briefly commented.