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E-raamat: Direct Methods for Limit State of Materials and Structures: Advanced Computational Algorithms and Material Modelling

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This book provides an overview of direct methods, such as limit and shakedown analysis, which are intended for avoiding cumbersome step-by-step calculations to determine the limit states of mechanical structures under monotone, cyclic or variable actions with unknown loading history. The book comprises several contributions that demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their applicability to practical engineering problems in structural mechanics and mechanics of materials. The contents reflect the outcomes of the workshop “Direct Methods for Limit State of Materials and Structures,” held in Cosenza, Italy in June 2022.

Direct methods: History, present and future.- A unified shakedown limit
equation for pavements and railways under repeated traffic
loads.- Elastic-plastic optimisation of a cable-rib satellite antenna.- An
introduction to the probabilistic linear matching method framework for
structural integrity assessment under uncertain design conditions.- Peak load
prediction of human bone proximal femur: sensitivity to tissues strength and
geometry.- Graded damage solutions in one dimension.- Fatigue strength
prediction of high silicon alloyed nodular cast iron by shakedown
analysis.- A macroscopic fatigue criterion for ductile porous materials with
Drucker-Prager dilatant matrix  basing on the shakedown theory.- A direct
method for cyclic crystal plasticity with application to high-cycle
fatigue.- Masonry domes under complex loading conditions: A shell-based
static limit analysis approach.- Robust optimization applied to uncertain
limit analysis.- Advances of the RSDM-S:  robusteness and convergence
issues.- Mixed fiber elements and incremental-iterative algorithm for
shakedown and limit fire analysis of 3D frames.