Elastoplastic Modeling 1st Edition Jean Salencon by Jean Salencon 9781786306234, 1786306239 instant download after payment.

This basic textbook for practical applications adopts a semi-phenomenological approach, where mathematical modelling is derived from experimental observations. Starting from the uniaxial then multiaxial behaviour modelling of the three-dimensional standard elastoplastic continuum, it provides models that can be transposed to generalised materials as encountered in structural analysis. Quasi-static loading processes of systems made from such materials are then considered. Within the small perturbation hypothesis, the analysis is based on existence and uniqueness theorems and essentially devoted to parametric problems. Referring to its initial and current elastic domains defined in the loading parameter space, the incremental elastoplastic constitutive equation of the system is established, where geometrical compatibility of the strain rate field plays the key role at the origin of residual stress- and strain rate fields. In the particular case of a standard perfectly plastic constituent material, solution to a quasi-static loading process only exists as long as equilibrium of the system and resistance of the constituent material remain mathematically compatible, which defines a domain with limit loads as a boundary. Similar results can be established for generalised standard materials. Limit analysis is specifically concerned with the determination of limit loads independently of any loading process. Its first and second collapse theorems provide lower and upper bound