Direct Methods : Methodological Progress and Engineering Applications

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 content reflects the outcomes of the workshop “Direct Methods: Methodological Progress and Engineering Applications,” which was offered as a mini-symposium of PCM-CMM 2019, held in Cracow, Poland in September 2019. Front Matter ....Pages i-xii Evaluation of Human Bones Load Bearing Capacity with the Limit Analysis Theory (Aurora Angela Pisano, Paolo Fuschi)....Pages 1-23 The Linear Matching Method and Its Software Tool for Creep Fatigue Damage Assessment (Manu Puliyaneth, Graeme Jackson, Haofeng Chen, Yinghua Liu)....Pages 25-43 Limit Analysis of Complex 3D Steel Structures Using Second-Order Cone Programming (Chadi El Boustani, Jeremy Bleyer, Karam Sab)....Pages 45-62 Limit Fire Analysis of 3D Framed Structures Based on Time-Dependent Yield Surfaces (Domenico Magisano, Francesco Liguori, Leonardo Leonetti, Giovanni Garcea)....Pages 63-82 Limit Analysis of Dry Masonry Block Structures with Non-associative Coulomb Friction: A Novel Computational Approach (Nicola A. Nodargi, Claudio Intrigila, Paolo Bisegna)....Pages 83-96 Homogenization of Ductile Porous Materials by Limit and Shakedown Analysis (Zhang Jin, Abdelbacet Oueslati, Wanqing Shen, Géry de Saxcé)....Pages 97-116 Recent Updates of the Residual Stress Decomposition Method for Shakedown Analysis (Ioannis A. Kapogiannis, Konstantinos V. Spiliopoulos)....Pages 117-136 Stress Compensation Method for Shakedown Analysis and Its Engineering Applications (Heng Peng, Yinghua Liu, Haofeng Chen)....Pages 137-166 On Cyclic Steady States and Elastic Shakedown in Diffusion-Induced Plasticity (Michaël Peigney)....Pages 167-185 Numerical Method for Quasi-static and Dynamic Elastoplastic Problems by Symplectic Brezis-Ekeland-Nayroles Non-incremental Principle (Xiaodan Cao, Abdelbacet Oueslati, An Danh Nguyen, Marcus Stoffel, Bernd Market, Géry de Saxcé)....Pages 187-209 Shakedown Limits of Slab Track Substructures and Their Implications for Design (Juan Wang, Hai-Sui Yu, Shu Liu)....Pages 211-225 Investigations of Shakedown in the Presence of Ambient Creep Using Direct Methods for High Strength Steel Under Multiaxial Loadings (Daniele Barbera, Ali Charbal, I. Soner Cinoglu, Natasha Vermaak)....Pages 227-247