Inelastic Analysis of Structures Under Variable Loads: Theory and Engineering Applications(v. 83 Solid Mechanics and its Applications)

The question whether a structure or a machine component can carry the applied loads, and with what margin of safety, or whether it will become unserviceable due to collapse or excessive inelastic deformations, has always been a major concern for civil and mechanical engineers. The purpose of this book is a presentation of state-of-the-art methods which provide conceptual and computational means to answer this technologically crucial question without analysing the evolution of the system under monotonic or variable repeated loads.The focus is on recent developments which may be classified as follows: adaptation of the general theoretical achievements to specific types of structures and, at the micro-scale, to heterogeneous materials; generalisation of the basic theory to dynamics, i.e. to the time-dependence due to inertia and damping forces; reformulation of the fundamental theorems in the broader frame of geometrically non-linear theory of solids and structures; allowing for more sophisticated models of inelastic material behaviour, including non-linear hardening and softening, non-associated flow rules, viscous effects, multi-phase poro-plasticity, and material damage; and, development of computational procedures and specific ad-hoc algorithms by which direct methods can be efficiently used to solve large-scale industrial problems.

Table of Contents:
Preface. An early upper bound method for shakedown of beams and structures; P.S. Symonds. Shakedown limits for a general yield condition: implementation and application for a von Mises yield condition; A.R.S. Ponter, M. Engelhardt. Shakedown at finite elasto-plastic strains; H. Stumpf, B. Schieck. Shape optimization under shakedown constraints; K. Wiechmann, et al. Numerical simulations of thermoviscoplastic flow processes under cyclic dynamic loadings; W. Dornowski, P. Perzyna. Subdomain bounding technique for shakedown analysis of structures; Y. Liu, et al. Failure investigation of fiber-reinforced composite materials by shakedown analysis; A. Hachemi, et al. Analysis of masonry structures subject to variable loads: a numerical approach based on damage mechanics; A. Callerio, et al. CYCLONE - system for structural adaptation and limit analysis; A. Siemaszko, et al. Variational principles for shakedown analysis; N. Zouain, J.L. Silveira. Shakedown of elastic-plastic structures with non linear kinematical hardening by the bipotential approach; G. de Saxce, et al. Shakedown and fatigue damage in metal matrix composites; G.J. Dvorak, et al. On shakedown of elastic plastic bodies with brittle damage; D. Bruyanov, I. Roman. Simplified methods for the steady state inelastic analysis of cyclically loaded structures; K.V. Spiliopoulos. Direct finite element kinematical approaches in limit and shakedown analysis of shells and elbows; A.M. Yan, H. Nguyen-Dang. Shakedown and damage analysis applied to rocket engines; T. Hassine, et al. Reliability analysis of elasto-plastic structures under variable loads; M. Heitzer, M. Staat. Upper bounds on post-shakedown quantities in poroplasticity; G. Cocchetti, G. Maier. Fatigue behavior of fiber reinforced concrete: comparison between material and structural response. Shakedown analysis by elastic simulation; C. Polizzotto, et al. Application of the kinematic shakedown theorem to pavements design; M. Boulbibane, I.F. Collins.