Inelastic Analysis of Structure Under Variable Loads: Theory and Engineering Applications

by Weichert, Dieter; Maier, Giulio

• ISBN13: 9780792366454
• ISBN10: 079236645X
• Format: Hardcover
• Copyright: 2000-11-01
• Publisher: Kluwer Academic Pub

Summary

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; 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	vii
An early upper bound method for shakedown of beams and structures	1	(10)
P.S. Symonds
Shakedown limits for a general yield condition: implementation and application for a von Mises yield condition	11	(20)
A.R.S. Ponter
M. Engelhardt
Shakedown at finite elasto-plastic strains	31	(18)
H. Stumpf
B. Schieck
Shape optimization under shakedown constraints	49	(20)
K. Wiechmann
F.-J. Barthold
E. Stein
Numerical simulations of thermoviscoplastic flow processes under cyclic dynamic loadings	69	(26)
W. Dornowski
P. Perzyna
Subdomain bounding technique for shakedown analysis of structures	95	(12)
Y. Liu
Z. Cen
Y. Xu
Failure investigation of fiber-reinforced composite materials by shakedown analysis	107	(14)
A. Hachemi
F. Schwabe
D. Weichert
Analysis of masonry structures subject to variable loads: a numerical approach based on damage mechanics	121	(14)
A. Callerio
E. Papa
A. Nappi
Cyclone--system for structural adaptation and limit analysis	135	(12)
A. Siemaszko
G. Bielawski
J. Zwolinski
Variational principles for shakedown analysis	147	(20)
N. Zouain
J.L. Silveira
Shakedown of elastic-plastic structures with non linear kinematical hardening by the bipotential approach	167	(16)
G. De Saxce
J.-B. Tritsch
M. Hjiaj
Shakedown and fatigue damage in metal matrix composites	183	(14)
G.J. Dvorak
D.C. Lagoudas
Chien-Ming Huang
On shakedown of elastic plastic bodies with brittle damage	197	(16)
B. Druy Anov
I. Roman
Simplified methods for the steady state inelastic analysis of cyclically loaded structures	213	(20)
K.V. Spiliopoulos
Direct finite element kinematical approaches in limit and shakedown analysis of shells and elbows	233	(22)
A.M. Yan
H. Nguyen-Dang
Shakedown and damage analysis applied to rocket engines	255	(14)
T. Hassine
G. Inglebert
M. Pons
Reliability analysis of elasto-plastic structures under variable loads	269	(20)
M. Heitzer
M. Staat
Upper bounds on post-shakedown quantities in poroplasticity	289	(26)
G. Cocchetti
G. Maier
Fatigue behavior of fiber reinforced concrete: comparison between material and structural response	315	(20)
S. Cangiano
G.A. Plizzari
Shakedown analysis by elastic simulation	335	(30)
C. Polizzotto
G. Borino
F. Parrinello
P. Fuschi
Application of the kinematic shakedown theorem to pavements design	365
M. Boulbibane
I.F. Collins