CHAPTER ONE - Elsevier
: 41Page 1CHAPTERONESTRESSES AND IntroductionThe theory of plasticity is the branch of mechanics that deals with the calculationof stresses and strains in a body, made of ductile material, permanently deformedby a set of applied forces. The theory is based on certain experimental observationson the macroscopic behavior of metals in uniform states of combined stresses. Theobserved results are then idealized into a mathematical formulation to describe thebehavior of metals under complex stresses. Unlike elastic solids, in which the state ofstrain depends only on the final state of stress , the deformation that occurs in a plasticsolid is determined by the complete history of the loading. The plasticity problemis, therefore, essentially incremental in nature, the final distortion of the solid beingobtained as the sum total of the incremental distortions following the strain metal may be regarded as macroscopically homogeneous and isotropic whenthe small crystal grains forming the aggregate are distributed with random orienta-tions.
CHAPTER ONE STRESSES AND STRAINS 1.1 Introduction The theory of plasticity is the branch of mechanics that deals with the calculation of stresses and strains in a body, made of ductile material, permanently deformed ... the stress–strain curve proceeds …
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