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This book provides an overview of direct methods such as limit and shakedown analysis, which are intended to do away with the need for cumbersome step-by-step calculations and determine the loading limits of mechanical structures under monotone, cyclic or variable loading with unknown loading history. The respective contributions demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their practical applicability to engineering problems in structural mechanics, pavement and general soil mechanics, as well as the design of composite materials. The contents reflect the outcomes of the 8th Workshop Direct Methods in Limit States of Structures and Materials, held in Athens, Greece in September 2024.
List of contents
On Shakedown of shape memory alloys structures with functional fatigue - Application to nitinol stents.- A crystal plasticity-based lower bound direct method and its application in the fatigue strength prediction of the alouminum alloy material.- Limit analysis of 2D problems using a hybrid virtual element formulation.- Evaluation of the torsional strength of thin-walled RC beams in fire conditions.- A non-incremental numerical method for non-associated elastoplastic problems using the SBEN principle and the bipotential.- Collapse load prediction of human femur by Computed Tomography based limit analysis.- Direct Estimation of the Asymptotic Cyclic Stress for Structures under Creep and Plasticity conditions.- Shakedown Strength-Based Elastoplastic Topology Optimization and Its Application in
Mechanical Exoskeleton Design.- Application of direct methods to fatigue performance: crystal plasticity enhanced direct cyclic algorithm and classic shakedown theorem.- Limit analysis of metal beams and frames considering tangential stresses and warping.- Failure analysis and regularized fracture models.
About the author
Konstantinos Spiliopoulos is Professor of Structural Mechanics at the Institute of Structural Analysis
& Antiseismic Research of the School of Civil Engineering of the National Technical University of
Athens (NTUA). He holds a Diploma in Civil Engineering from NTUA, an MSc from Imperial College in
Concrete Structures and a PhD Degree from the Aeronautics Department of Imperial College. His
research spans many different areas of Structural Mechanics, such as Inelasticity, Direct Methods for
Limit States, Nonlinear Reinforced Concrete Analysis (NRCA), Earthquake Engineering, Graph theory,
Mathematical Programming, Large Displacements and Strains, Large Rotations. He has published 35
papers in top rated international journals, 9 chapters in edited refereed books and has made 71
contributions in international conferences. He is editor and co-editor of 3 books. Work on NRCA has
been adopted by the ADINA software.
Dieter Weichert graduated from RWTH-Aachen University in Mechanical Engineering, obtained his
Dr.-degree and Habilitation from Ruhr-University Bochum. He held professional, academic and
managing positions at Krupp-Brüninghaus GmbH (Germany), American University of Beirut,
Université des Sciences et Technologies de Lille, Institut des Sciences Appliquées de Rouen and
RWTH-Aachen University. He was active as consultant for private and public organisations until
retirement in 2013. Fields of scientific interest: Solid Mechanics, Inelasticity, Failure of Materials and
Structures, Composites, Biomechanics. He is author, co-author, editor, co-editor of more than 300
papers and 9 books.
Summary
This book provides an overview of direct methods such as limit and shakedown analysis, which are intended to do away with the need for cumbersome step-by-step calculations and determine the loading limits of mechanical structures under monotone, cyclic or variable loading with unknown loading history. The respective contributions demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their practical applicability to engineering problems in structural mechanics, pavement and general soil mechanics, as well as the design of composite materials. The contents reflect the outcomes of the 8th Workshop “Direct Methods in Limit States of Structures and Materials,” held in Athens, Greece in September 2024.
