Titlebook: Basics of Continuum Plasticity; Kwansoo Chung,Myoung-Gyu Lee Textbook 2018 Springer Nature Singapore Pte Ltd. 2018 Plasticity textbook.Con

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IntroductionThe following are foundational assumptions for continuum mechanics:

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Instability in Simple Tension TestAs discussed in Chap.?., the UTS (ultimate tensile strength) point observed in the simple tension test for both sheet and bulk specimens is important as it is the limit of uniform deformation in the gauge length, which is analyzed here.

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Physical PlasticityPhysical plasticity deals with issues relevant to plastic deformation in the microstructural level, which is therefore beyond the scope of continuum plasticity. However, a few basic features are briefly reviewed here, since these provide some theoretical foundations of continuum plasticity, as will be discussed later.

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Pure Bending and Beam TheoryThe deflection of a beam, defined as a uniform long straight slender bar under transverse loading, is discussed here.

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TensorsThe stress with nine components derived in Eq.?(.) is a tensor. The main task of tensors is to transform one vector to another; i.e.,

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Plane Stress State for SheetsWhen plasticity is applied to thin sheets such as membranes, plates and shells, the yield function and the plastic strain increment function as well as their applications to the dual normality rules become simpler.

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Hardening Law for Evolution of Yield SurfaceInthe past few decades, a few experimentations have been conducted to better understand the evolution of the yield surface during plastic deformation.