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Titlebook: Elements of Classical Plasticity Theory; Andreas Öchsner Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive licens

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发表于 2025-3-21 18:16:34 | 显示全部楼层 |阅读模式
书目名称Elements of Classical Plasticity Theory
编辑Andreas Öchsner
视频video
概述Offers a compact introduction into the classical, i.e. rate-independent, plasticity theory..Eases the understanding using typical one-dimensional stress states.Test your knowledge with questions and a
图书封面Titlebook: Elements of Classical Plasticity Theory;  Andreas Öchsner Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive licens
描述This monograph provides a compact introduction into the classical, i.e. rate-independent, plasticity theory. Starting from the engineering stress-strain diagram, the concept of elastic and elasto-plastic material behavior is introduced, as well as the concept of uniaxial and multiaxial stress states. Continuum mechanical modeling in the elasto-plastic range requires, in regards to the constitutive equation, in addition to the elastic law (e.g. Hooke’s law), a yield condition, a flow rule and a hardening rule. These basic equations are thoroughly introduced and explained for one-dimensional stress states. Considering three-dimensional plasticity, different sets of stress invariants to characterize the stress matrix and the decomposition of the stress matrix in its hydrostatic and deviatoric part are introduced. Furthermore, the concept of the yield condition, flow rule and hardening rule is generalized for multiaxial stress states. Some typical yield conditions are introduced and theirgraphical representation in different stress spaces is discussed in detail. The book concludes with an introduction in the elasto-plastic finite element simulation of mechanical structures. In the cont
出版日期Book 2022
关键词Nonlinear material behavior; elasto-plastic material behavior; yield condition; flow rule; hardening rul
版次1
doihttps://doi.org/10.1007/978-3-031-14201-7
isbn_softcover978-3-031-14203-1
isbn_ebook978-3-031-14201-7
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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ional stress states.Test your knowledge with questions and aThis monograph provides a compact introduction into the classical, i.e. rate-independent, plasticity theory. Starting from the engineering stress-strain diagram, the concept of elastic and elasto-plastic material behavior is introduced, as
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Theory of One-Dimensional Plasticity,example, Hooke’s law to complement the entire constitutive law. For hardening, the concepts of isotropic, kinematic and combined hardening are treated. The chapter concludes with some remarks on the elasto-plastic modulus and changing loading directions, i.e. unloading, reversed and cyclic loading.
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Theory of Three-Dimensional Plasticity,ional concept of the previous chapter, i.e. the yield condition, the flow and hardening rule is generalized for multiaxial stress states. Some typical yield conditions are introduced and their graphical representation in different stress spaces is discussed in detail.
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