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Direct Methods for Limit and Shakedown Analysis of Structures: Advanced Computational Algorithms and Material Modelling

✍ Scribed by Paolo Fuschi, Aurora Angela Pisano, Dieter Weichert (eds.)


Publisher
Springer International Publishing
Year
2015
Tongue
English
Leaves
315
Edition
1
Category
Library

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✦ Synopsis


Articles in this book examine various materials and how to determine directly the limit state of a structure, in the sense of limit analysis and shakedown analysis. Apart from classical applications in mechanical and civil engineering contexts, the book reports on the emerging field of material design beyond the elastic limit, which has further industrial design and technological applications. Readers will discover that β€œDirect Methods” and the techniques presented here can in fact be used to numerically estimate the strength of structured materials such as composites or nano-materials, which represent fruitful fields of future applications.

Leading researchers outline the latest computational tools and optimization techniques and explore the possibility of obtaining information on the limit state of a structure whose post-elastic loading path and constitutive behavior are not well defined or well known. Readers will discover how Direct Methods allow rapid and direct access to requested information in mathematically constructive manners without cumbersome step-by-step computation.

Both researchers already interested or involved in the field and practical engineers who want to have a panorama of modern methods for structural safety assessment will find this book valuable. It provides the reader with the latest developments and a significant amount of references on the topic.

✦ Table of Contents


Front Matter....Pages i-xii
A Stress-Based Variational Model for Ductile Porous Materials and Its Extension Accounting for Lode Angle Effects....Pages 1-25
Limit Analysis and Macroscopic Strength of Porous Materials with Coulomb Matrix....Pages 27-46
A Direct Method Formulation for Topology Plastic Design of Continua....Pages 47-63
The Influence of Limited Kinematical Hardening on Shakedown of Materials and Structures....Pages 65-80
Theoretical Basis and a Finite Element Formula for the Direct Calculation of Steady Plastic States....Pages 81-103
On the Statistical Determination of Yield Strength, Ultimate Strength, and Endurance Limit of a Particle Reinforced Metal Matrix Composite (PRMMC)....Pages 105-122
A New Starting Point Strategy for Shakedown Analysis....Pages 123-141
Yield Design of Periodically Heterogeneous Plates....Pages 143-158
RSDM-S: A Method for the Evaluation of the Shakedown Load of Elastoplastic Structures....Pages 159-175
An Efficient Algorithm for Shakedown Analysis Based on Equality Constrained Sequential Quadratic Programming....Pages 177-197
Limit Analysis on RC-Structures by a Multi-yield-criteria Numerical Approach....Pages 199-219
Shakedown Analysis Within the Framework of Strain Gradient Plasticity....Pages 221-252
Shakedown Analysis of 3D Frames with an Effective Treatment of the Load Combinations....Pages 253-277
Uncertainty Multimode Failure and Shakedown Analysis of Shells....Pages 279-298
Three-Dimensional Shakedown Solutions for Cross-Anisotropic Cohesive-Frictional Materials Under Moving Loads....Pages 299-313

✦ Subjects


Theoretical and Applied Mechanics; Structural Materials; Computational Science and Engineering; Civil Engineering


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