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Inelastic Behaviour of Structures Under Variable Loads : Solid Mechanics and Its Applications - Z. Mroz

Inelastic Behaviour of Structures Under Variable Loads

Solid Mechanics and Its Applications

By: Z. Mroz (Editor), Dieter Weichert (Editor), Stanislaw Dorosz (Editor)

Hardcover Published: 28th February 1995
ISBN: 9780792333975
Number Of Pages: 502

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This collection of papers 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. The volume is composed of four chapters devoted to material modelling for cyclic loading conditions; general theory 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. It was aimed to provide a unified approach in order to understand both inelastic material and structural response under variable loading conditions. The attempt to extend the classical shakedown theory of Melan and Koiter to geometrically non-linear problems is presented in several papers. The industrial application of cyclic plasticity to the analysis and the design of pressure bellows, compensators, turbine disks, or flange connections under thermal and pressure cycles illustrates the great potential of the numerical techniques developed for this purpose using mostly min-max approaches. The treatment of railway problems and the analysis and optimisation of pavements are further examples of important areas of applications. Emphasis was laid on approaches that take into account the fact that loading histories are often not precisely known Therefore, the center of interest lies in other than step by step calculation methods.

The modified multisurface hardening model and its application to cyclic loading problemsp. 3
Structures consisting of two-phase materials under thermomechanical loadsp. 19
Shakedown for systems of kinematic hardening materialsp. 33
Related mathematical models for solids and structures deformation and failure processes under repeated loadingp. 51
Nonlinear behaviour of low-plastic structuresp. 83
Elastic-viscoplastic solids subjected to thermal and loading cyclesp. 95
Some basic elements of the shakedown theoryp. 129
A variational deduction of upper and lower bound shakedown theorems by Markov's and Hill's principles over a cyclep. 153
Influence of cyclic creep on the upper bound to shakedown inelastic deflectionsp. 169
On shakedown theorems in the presence of Signorini conditions and frictionp. 183
On theorems of adaptation of elastic-plastic structuresp. 203
Extremum problems in shakedown theoryp. 219
Geometric effects on shakedown and ratchetting of axisymetric cylindrical shells subjected to variable thermal loadingp. 239
Shakedown of shells undergoing moderate rotationsp. 263
Limit, shakedown, post-yield and inadaptation analyses of discrete plastic structuresp. 279
Constitutive model and incremental shakedown analysis in finite elastoplasticityp. 293
Case studies on the influence of geometric effects on the shakedown of structuresp. 309
Discussion of the chaotic behaviour of an elastic-plastic structurep. 321
Inadaptation mechanisms in bellows subject to sustained pressure and cyclic axial loadings in terms of finite deformationsp. 341
Min-max approach to shakedown and limit load analysis for elastic perfectly plastic and kinematic hardening materialsp. 363
An indirect incremental method for a shakedown analysis based on the min-max approachp. 381
Slackened systems under variable loadsp. 399
Plastic analysis and design of skeletal structures accounting for their sensitivity to ratchettingp. 419
Shakedown of rail corrugationsp. 433
Steady cyclic state of a structure: methods of its direct determinationp. 449
An improved boundary element analysis for the bending of a thin plate with a crackp. 463
Stability of pavement structures under long term repeated loadingp. 473
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792333975
ISBN-10: 0792333977
Series: Solid Mechanics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 502
Published: 28th February 1995
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.87
Weight (kg): 0.9

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