Search results for "Yield surface"

showing 5 items of 5 documents

A Numerical Method for the Analysis of Plane-Strain Forming Processes with Unilateral Constraints

1983

The Authors propose a numerical model for the solution of plane-strain forming processes, based on the linearization of the yield surface. This allows to employ the linear programming technique for the solution of the variational problem derived from the application of the upper-bound theorem. Such a model permits to take into account the unilateral constraints in a very simple way. Therefore it is well suited to solve a large class of problems, such as sheet forming, in which the unilateral constraints are often present.

Large classLinear programmingSimple (abstract algebra)Yield surfaceLinearizationMechanical EngineeringNumerical analysisMathematical analysisForming processesIndustrial and Manufacturing EngineeringMathematicsPlane stressCIRP Annals
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A New Numerical Method for Axisymmetrical Forming Processes

1987

Summary In this paper a numerical method for the analysis of axisymmetrical forming processes is proposed. This method represents the last development of a previous one which allows to solve forming problems in plane strain condition. The proposed model is baaed on the finite element discretization and on the linearization of the yield surface which leads to solve a LP problem. Two different examples of application, concerning the upsetting of a cylinder and of a hollow disk are reported.

Mathematical optimizationDiscretizationLinearizationYield surfaceMechanical EngineeringNumerical analysisForming processesApplied mathematicsCylinderDevelopment (differential geometry)Industrial and Manufacturing EngineeringFinite element methodMathematicsCIRP Annals
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A unified approach to quasi-static shakedown problems for elastic-plastic solids with piecewise linear yield surface

1978

The paper concerns shakedown analysis of elastic-plastic bodies subjected to quasi-statically varying loads within a given domain. Using a perturbation method, a general inequality is given, from which, by simply specializing the perturbing terms, the generalized Melan theorem as well as bounds on various deformation parameters (such as displacements or plastic strain intensities) are derived. The solution of the «perturbed» shakedown problem in finite or holonimic terms permits the bound to be the most stringent and expressible in «local» terms instead of integral terms. A simple application concludes the paper.

Piecewise linear functionDeformation (mechanics)Mechanics of MaterialsSimple (abstract algebra)Yield surfaceMechanical EngineeringMathematical analysisPlasticityCondensed Matter PhysicsQuasistatic processDomain (mathematical analysis)MathematicsShakedownMeccanica
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Toward a density functional description of liquid pH2.

2010

A finite-temperature density functional approach to describe the properties of parahydrogen in the liquid-vapor coexistence region is presented. The first proposed functional is zero-range, where the density-gradient term is adjusted so as to reproduce the surface tension of the liquid-vapor interface at low temperature. The second functional is finite-range and, while it is fitted to reproduce bulk pH2 properties only, it is shown to yield surface properties in good agreement with experiments. These functionals are used to study the surface thickness of the liquid-vapor interface, the wetting transition of parahydrogen on a planar Rb model surface, and homogeneous cavitation in bulk liquid…

Surface (mathematics)Chemical Physics (physics.chem-ph)Statistical Mechanics (cond-mat.stat-mech)Yield surfaceChemistryThermodynamicsFOS: Physical sciencesFísicaCondensed Matter - Soft Condensed MatterSpin isomers of hydrogenFunctional descriptionSurface tensionPhysics::Fluid DynamicsPlanarWetting transitionPhysics - Chemical PhysicsCavitationPhysics::Atomic and Molecular ClustersSoft Condensed Matter (cond-mat.soft)Physical and Theoretical ChemistryCondensed Matter - Statistical MechanicsThe journal of physical chemistry. A
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The shakedown load boundary of an elastic-perfectly plastic structure

1995

In the hypothesis of small displacements and combined time-variable/steady loads, the geometrical-mechanical properties of the shakedown load boundary are investigated. It is shown that, in the load space, the shakedown load boundary plays the role of yield surface, and that a certain plastic strain accumulation vector—characterizing some impending inadaptation collapse mechanism—obeys the normality rule, whereas a specific form of the maximum plastic work theorem constitutes an effective tool for the evaluation of the shakedown limit load corresponding to a specified inadaptation collapse mode. The equations governing the state of the structure at the shakedown limit are provided and the r…

Work (thermodynamics)Mechanics of MaterialsYield surfaceMechanical EngineeringSolid mechanicsBoundary (topology)Limit loadLimit (mathematics)MechanicsPlasticityCondensed Matter PhysicsShakedownMathematicsMeccanica
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