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035   $a(DE-He213)978-3-031-14201-7
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100   $a20221108d2022      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aElements of Classical Plasticity Theory /$fby Andreas Öchsner
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022.
215   $a1 online resource (116 pages)
225 1 $aPhysics and Astronomy Series
311 08$aPrint version: Öchsner, Andreas Elements of Classical Plasticity Theory Cham : Springer International Publishing AG,c2022 9783031142000 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Theory of One-Dimensional Plasticity -- Theory of Three-Dimensional Plasticity -- Elasto-Plastic Finite Element Simulations.
330   $aThis monograph provides a compact introduction into the classical, i.e. rate-independent, plasticity theory. Starting from the engineering stress-strain diagram, the concept of elastic and elasto-plastic material behavior is introduced, as well as the concept of uniaxial and multiaxial stress states. Continuum mechanical modeling in the elasto-plastic range requires, in regards to the constitutive equation, in addition to the elastic law (e.g. Hooke?s law), a yield condition, a flow rule and a hardening rule. These basic equations are thoroughly introduced and explained for one-dimensional stress states. Considering three-dimensional plasticity, different sets of stress invariants to characterize the stress matrix and the decomposition of the stress matrix in its hydrostatic and deviatoric part are introduced. Furthermore, the concept of the yield condition, flow rule and hardening rule is generalized for multiaxial stress states. Some typical yield conditions are introduced and their graphical representation in different stress spaces is discussed in detail. The book concludes with an introduction in the elasto-plastic finite element simulation of mechanical structures. In the context of numerical approximation methods, the so-called predictor-corrector methods are used to integrate the constitutive equations. This is again introduced in detail based on one-dimensional stress states and afterwards generalized to the three-dimensional case. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.
410  0$aPhysics and Astronomy Series
606   $aContinuum mechanics
606   $aMechanics
606   $aMechanics, Applied
606   $aSoft condensed matter
606   $aContinuum Mechanics
606   $aClassical Mechanics
606   $aEngineering Mechanics
606   $aSoft Materials
615  0$aContinuum mechanics.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aSoft condensed matter.
615 14$aContinuum Mechanics.
615 24$aClassical Mechanics.
615 24$aEngineering Mechanics.
615 24$aSoft Materials.
676   $a306.4409113
676   $a531.385
700   $aO?chsner$b Andreas$0317948
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910624301603321
996   $aElements of Classical Plasticity Theory$92967867
997   $aUNINA