A slip line field or slip line field theory, is a technique often used to analyze the stresses and forces involved in the major deformation of metals, using theories based around maximum shear stress. Plastically deforming regions result in centered fans above and. The earlier analysis of plane strain plasticity in a simple case of uniaxial compression established the basis of slip line field theory, which. We delve into critical state theory but only in the most elementary way and only after we have dealt with the classical topics oflimit analysis and slip line theory. This new edition presents extensive new material on the use of computational methods, plus coverage of. It takes the classical slip line field theory as its special case, and it can be applied to the analysis of planestrain problems in metal processing, rock and soil mechanics and tectonomechanics. An abrasive wear model of fractal surfaces based on the slip line theory of plasticity.
Topics covered range from specification of an ideal plastic material to the behavior of structures made of idealized elasticplastic material, theorems of plastic theory, and rotating discs, along with torsion, indentation problems, and slip line fields. The slip lines diffuse in bands, whose width depends upon a material lengthscale parameter. Elasticity is not included and the loading has to be quasistatic. Engineering plasticity deals with certain features of the theory of plasticity that can be applied to engineering design. This approach is used to model plastic deformation in plane strain only for a solid that can be represented as a rigidplastic body. Numerical experiments on representative problems in plane strain give solutions with noteworthy similarities with the results from classical slip line field theory, but the proposed model is much richer because, accounting for elastic deformations, it can describe the formation of slip bands at the local level, which can nucleate, propagate. Phasefield slipline theory of plasticity, journal of the.
Phase transformation and plasticity, straingradient plasticity, dislocation plasticity, crystal plasticity, etc instructor can pick topics according to hisher taste references 1. Slip line field theory this approach is used to model plastic deformation in plane strain only for a solid that can be represented as a rigidplastic body. We merely wish to expose the reader to the potential ofcritical state analysis in the hope ofencouraging further study. Computational methods in plasticity, creep behavior, viscoplasticity, advances in ratcheting simulation, plasticity modeling in lsdyna and other related software, modern hardening theories, endochronic plasticity theory, dynamic plasticity and etc. Jan 01, 2012 read a slip line plasticity analysis of abrasive wear of a smooth and soft surface sliding against a rough fractal and hard surface, international journal of solids and structures on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. This new edition presents extensive new material on the use of computational methods. To develop slip line field theory to more general plane strain conditions, we need to recognize that the stress can vary from point to point. A noncoaxial theory of plasticity for soils with an anisotropic yield criterion by. This process is experimental and the keywords may be updated as the learning algorithm improves. Almost all real materials will undergo some permanent deformation, which remains after removal of load. This paper is concerned with the plasticity analysis defected welded connections loaded under uniaxial tension, using the concept of slip line. Single crystal plasticity and crystallographic lattice rotation. Pdf plane strain slip line theory for anisotropic rigid.
An overview of the history of plasticity theory 3 another. Stability analysis is first performed by using the method of variational calculus to determine the shape of the most critical slip i. There will always be two perpendicular directions of maximum shear stress in a plane. A slip line theory governing states of incipient plane flow at the yield point load is developed for anisotropic rigidplastic materials which exhibit a reduced yield criterion, governing states. Download books pdf reader basic engineering plasticity. A noncoaxial theory of plasticity for soils with an. The theory of the surfaces of slip represents a mesoscopic interpretation of the phenomena occurring at the microlevel associated with strain localization such as in the case of the formation of luders bands. Many soil stability problems in geotechnical engineering can be analyzed by means of the classical slip line method a relatively rigorous baseline solution.
Slip lines are defined as trajectories of the directions of maximum shear stress. Theory of the ist order theory of the iind order geometric nonlinearity. A thicker layer of material is predicted on the rs side of the tool as can be observed in the plan view metallograph of a midsection of a fsw b 15, 38. Slip line theory as applied to the movement of material around the tool a. Chapters 69 contain an extensive discussion of problems involving planestrain slip line theory. Line failure theroy plasticity physics stress mechanics. Stress equation slip line velocity characteristic flow rule cohesive soil these keywords were added by machine and not by the authors. A slipline plasticity analysis of abrasive wear of a smooth. Elasticplastic, large deformation solutions are derived, however, from the incremental, plane strain finite element method.
Asaro 1983 summarized the principles of single crystal plasticity. A model for the plastic flow of landslides by william z. Theory of plasticity is the most comprehensive reference on the subject as well as the most up to date no other significant plasticity reference has been published recently, making this of great interest to academics and professionals. In this chapter we outline two particularly effective methods.
The orientation of slip line field in plasticity can be represented by bars n the optimized mitchell structure. As a result of this, directions of maximum shear stress and the directions of principal stresses can vary along a slip line. Boundary value problems in plasticity slip line theory an. Brings together the elements of the mechanics of plasticity most pertinent to engineers, at both the micro and macrolevels covers the theory and application of topics such as limit analysis, slip line field theory, crystal plasticity, sheet and bulk metal forming, as well as the use of finite element analysis clear and wellorganized with. An abrasive wear model of fractal surfaces based on the. Phasefield slipline theory of plasticity article in journal of the mechanics and physics of solids 94 april 2016 with 54 reads how we measure reads. An introduction with engineering and manufacturing applications download books pdf reader search this site. An abrasive wear model of fractal surfaces based on the slipline theory of plasticity. Slip lines are the directions of maximum shear stress in the body undergoing plastic deformation. An abrasive wear model of fractal surfaces based on the slip.
A slip line solution satisfies the lower bound theorem in plasticity theory, i. A slip line theory governing states of incipient plane flow at the yield point load is developed for anisotropic rigid plastic materials which exhibit a reduced yield criterion, governing states. Pdf evaluation of slip line theory assumptions for integrity. Topics covered range from specification of an ideal plastic material to the behavior of structures made of idealized elastic. The planes on which slip occurs are called slip planes and the directions of the shear are the slip directions. Plane strain slip line theory for anisotropic rigidplastic materials 65 k% e, y, is in the direction of the outward normal to it at a smooth point, or within the fan set by limiting normals at a corner, and that each contour is convex. A variational approach to determine the deformation of an ideally plastic substance is proposed by solving a sequence of energy minimization problems under proper conditions to account for the irreversible character of plasticity. The singular character of the deformation is lost in the traditional mathematical theory of plasticity. A slip line theory governing states of incipient plane flow at the yield point load is developed for anisotropic rigid plastic materials which exhibit a reduced yield criterion, governing states of plane flow, that depends only on the deviatoric parts of the inplane stress tensor. The hyperbolic nature of the perfect plasticity equations in plane strain. The detail of numerical analysis of generalized plasticity will be discussed in. In this paper, the slip line field theory of plane plastic strain dealing with mohrs criterion expressed by quadratic limiting curves is preliminarily established. Numerical experiments on representative problems in plane strain give solutions with noteworthy similarities with the results from classical slip line field theory, but the proposed model is much richer because, accounting for elastic deformations, it.
The sliplinemethod yields a plastic equili brium stress field around the foundation, however, there is noguaran tee that this stress field can be extended satisfactorily throughout the body, nor is it necessarily possible to associate velocity fields with these stress fields. Example slip line fields for bent bars, sharp cracks and blunt cracks. A thorough treatment of this subject can be found, e. The earlier analysis of plane strain plasticity in a simple case of uniaxial compression established the basis of slip line field theory, which enables the directions of plastic flow to be mapped out in plane strain plasticity problems. Sep 01, 2016 read phasefield slip line theory of plasticity, journal of the mechanics and physics of solids on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. The twinshear slip line field theory based on the twinshear yield criterion and. Therefore, p can vary, but k is a material constant. Proceedings of the asmestle 2009 international joint tribology conference. Equations for the conjugate shears are exponential in form. The plane strain slip line theory for isotropic rigidplastic materials is well known, and hill. Geological survey professional paper 85 an application of the theory of coulomb plasticity to the flow of landslides landslide informa1ion cewiew united states government printing office, washington 1986. Phasefield slipline theory of plasticity request pdf. Solution is achieved utilizing anisotropic slip line theory booker and davis 1972. Doitpoms tlp library analysis of deformation processes.
Anisotropic slip line theory as well as plasticity theory was applied to the problem of a. Phasefield slipline theory of plasticity sciencedirect. Most available slip line field theories for plane strain problems are based on the. Numerical experiments on representative problems in plane strain give solutions with noteworthy similarities with the results from classical slipline field theory, but the proposed model is much richer because, accounting for elastic deformations, it can describe the formation of slip bands at the local level, which can nucleate, propagate, widen and diffuse by varying the boundary conditions.
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