Inelastic Behaviour of Structures under Variable Loads: (36 Solid Mechanics and Its Applications)

This text is a state of the art presentation of theories and methods related to the problem of the behaviour of mechanical structures under variable loads beyond their elastic limit. In particular, the problems of shakedown, ratchetting, transient and asymptotic cyclic states are addressed. Four chapters, each composed of individual articles, treat the material modelling for cyclic loading conditions, general theories of accommodated states of structures, effects of changes of the geometry on the inelastic structural response and numerical techniques with applications to particular engineering problems. This book should be of interest to all mechanical and civil engineers involved in design of mechanical elements and structures exposed to variable mechanical and thermal loads and which may suffer inelastic deformations during their lifetime.

Table of Contents:
The Modified multisurface hardening model and its application to cyclic loading problems.- Structures consisting of two-phase materials under thermomechanical loads.- Shakedown for systems of kinematic hardening materials.- Related mathematical models for solids and structures deformation and failure processes under repeated loading.- Nonlinear behaviour of low-plastic structures.- Elastic-viscoplastic solids subjected to thermal and loading cycles.- Some basic elements of the shakedown theory.- A variational deduction of upper and lower bound shakedown theorems by Markov’s and Hill’s principles over a cycle.- Influence of cyclic creep on the upper bound to shakedown inelastic deflections.- On shakedown theorems in the presence of Signorini conditions and friction.- On theorems of adaptation of elastic-plastic structures.- Extremum problems in shakedown theory.- Geometric effects on shakedown and ratchetting of axisymetric cylindrical shells subjected to variable thermal loading.- Shakedown of shells undergoing moderate rotations.- Limit, shakedown, post-yield and inadaptation analyses of discrete plastic structures.- Constitutive model and incremental shakedown analysis in finite elastoplasticity.- Case studies on the influence of geometric effects on the shakedown of structures.- Discussion of the chaotic behaviour of an elastic-plastic structure.- Inadaptation mechanisms in bellows subject to sustained pressure and cyclic axial loadings in terms of finite deformations.- Min-max approach to shakedown and limit load analysis for elastic perfectly plastic and kinematic hardening materials.- An indirect incremental method for a shakedown analysis based on the min-max approach.- Slackened systems under variable loads.- Plastic analysis and design of skeletalstructures accounting for their sensitivity to ratchetting.- Shakedown of rail corrugations.- Steady cyclic state of a structure: methods of its direct determination.- An improved boundary element analysis for the bending of a thin plate with a crack.- Stability of pavement structures under long term repeated loading.