Optimal shakedown design of elastic-plastic structures

The basics of continuous optimization theory and methods for elastic-plastic framed structures (Part I) and circular bending plates (Part II) at shakedown are presented in the textbook. The understanding of linear and non-linear mathematical programming theory, mathematical and mechanical connections are discussed in the book. The development of mathematical models for structural analysis and optimization problems is based on extreme energy principles of mechanics, the theory of mathematical programming and computing technologies. The material presented is richly illustrated with easily understandable numerical examples (the results are valid for the small displacement assumption). A list of recommended literature is given. The textbook is intended for bachelor and master students studying civil engineering in Vilnius Gediminas Technical University (including exchange students). The book will be usefull to PhD students and civil engineers interested in optimal design of inelastic structures.

Electronic version of the book:

DOI: https://doi.org/10.3846/1240-S