2 edition of Flow and filling characteristics in plane strain and axisymmetrical deformation in forging. found in the catalog.
Flow and filling characteristics in plane strain and axisymmetrical deformation in forging.
Tai Chiv Lee
by University of Aston in Birmingham. Department of Mechanical Engineering in Birmingham
Written in English
|Series||Ph. D thesis|
Process Modeling in Impression-Die Forging Using Finite-Element Analysis / of the workpiece and dies that relate to defor-mation and heat transfer need to be deﬁned. For example, for an axisymmetric cylinder to be forged in a pair of axisymmetric dies, the nodal velocity in the direction perpendicular to the. For plane strain in the z-direction The stress and strain matrices take the following form Any dependence upon z is suppressed for plane strain, and due to symmetry about the z-axis the strains in an axisymmetric component are independent of. Thus all derivatives with respect z and vanish keeping in mind that w = 0 for plane strain. z.
For a given microstructure, the flow stress is expressed as a function of strain, strain-rate, and temperature. To determine the actual functional relationship, it is necessary to conduct torsion, plane-strain compression, and uniform axisymmetric compression tests. Workability or formability is. Forging Die Life Improvement Workshop; Thursday, Aug to Thursday, Aug Read More. Management Development Institute (MDI) Sunday, October 4, to Tuesday, October 6, Read More. Theory & Applications of Forging & Die Design; Monday, December 7, to Thursday, Decem
Plane Stress and Plane Strain Equations Nodal compatibility is then enforced during the formulation of the nodal equilibrium equations for two-dimensional elements. If proper displacement functions are chosen, compatibility along common edges is also obtained. CIVL 7/ Chapter 6 - Plane Stress/Plane Strain Stiffness Equations - Part 1 3/ 2D planar flow is the flow assumed to flow only in a single plane with varying property at different points. Whereas, axisymmetric flow is also a 2D flow with a line of symmetry along the plane. eg. Lets assume the flow in a pipe which is obviousl.
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Flow and filling characteristics in plane strain and axisymmetrical deformation in forging Author: Lee, Tai C. ISNI: Awarding Body: University of Aston in Birmingham Current Institution: Aston University Date of Award: Author: Tai C. Lee. This book discusses as well the methods for the solution of problems of plane plastic flow of a rigid-perfectly plastic solid.
The final chapter deals with the application of the theory of plasticity to the quasi-static plane-strain deformation of an isotropic rigid-perfectly plastic, rate insensitive material. In order to use the plane-strain waxmodelling equi,t::ment for simulating axisymmetrical forging processes an investigation into the difference between axisyrnmetrical deformation and plane-strain deformation is necessary.
Both deformation processes are analytically modelled by deviding each intoAuthor: Hhmf Hugo Timmers. Tai Chiv Lee has written: 'Flow and filling characteristics in plane strain and axisymmetrical deformation in forging' Asked in Authors, Poets, and Playwrights What has the author Sarojine Chopra.
The velocity vector at a point in the deformation zone is the tangential vector to the flow line passing through this point (45). The flow line model (FLM) proposed by Beausir and Tóth (44) is capable of predicting the deformation field in both symmetric and asymmetric rolling processes.
The equations governing the plane axisymmetric problem are the equations of equilibrium which reduce to the single equation 0 1 rr rr r r, () the strain-displacement relations and the stress-strain law Taking the plane stress case, substituting.
By definition, the out-of-plane displacement (strain) is zero in a Plane Strain analysis. The Axisymmetric analysis allows you to analyze a 3D problem which is rotationally symmetric about an axis. The input is 2-dimensional, but because of the rotational symmetry, you are in fact analyzing a symmetric 3-dimensional problem.
analysis package. The plane strain extrusion forging of rectangular billets has been simulated using 8-noded elements. Results of deformation profile and forging load are obtained. Experimental work has been carried out by deforming rectangular billets between two dies, with at least one of them grooved.
The effect of material. Slab analysis assumptions • Entire forging is plastic – no elasticity • Material is perfectly plastic – strain hardening and strain rate effects later • Friction coefficient (µ) is constant – all sliding, to start • Plane strain – no z-direction deformation • In any thin slab, stresses are uniform.
The flow deformation of extrusion forging is similar to that of the initial pre-forging of closed-die forging and is frequently found in the forming process of high strength parts.
The forging process is analyzed in small steps of deformation. The stress distribution, the load, and the magnitude of filling of the die and the flange have been estimated at each deformation step.
Tai Chiv Lee has written: 'Flow and filling characteristics in plane strain and axisymmetrical deformation in forging' Asked in Airbus What is the condition experienced by passengers in the plane. The stress and load equations are derived for plane strain and axisymmetric deformation.
A method for determining flow models in practical forgings is presented. Chapter 9 – Axisymmetric Elements Learning Objectives • To review the basic concepts and theory of elasticity equations for axisymmetric behavior.
• To derive the axisymmetric element stiffness matrix, body force, and surface traction equations. • To demonstrate the solution of an axisymmetric pressure vessel using the stiffness method.
In order to estimate the non-steady-state temperature fields in a deformation process, it is necessary to know: (a) a kinematically admissible and continuous velocity field which describes the metal flow adequately in the deformation zone; (b) the thermal properties of product and tooling materials; and (c) the flow stress of deforming material as a function of strain, strain rate, and temperature.
Plane Strain A state of plane strain is defined as follows: Plane Strain: If the strain state at a material particle is such that the only non-zero strain components act in one plane only, the particle is said to be in plane strain. The axes are usually chosen such that the x y plane is the plane in which the strains are non-zero, Fig.
Much deformation of practical interest occurs under a condition that is nearly, if not exactly, one of plane strain, i.e. where one principal strain (say ε 3) is zero so that δε 3 = Plane strain is applicable to rolling, drawing and forging where flow in a particular direction is constrained by the geometry of the machinery, e.g.
a well-lubricated die wall. Then this method was used for designing preform dies in forging the dies with plane strain. Biglari et al.  developed backward deformation using fuzzy decision-making for determining the new borders of the part based on the geometry and plastic deformation of the part.
This process was proposed for axisymmetric parts in forging. Metal flow is influenced mainly by (a) tool geometry, (b) friction conditions, (c) characteristics of the stock material and (d) thermal conditions existing in the deformation zone.
The details of metal flow influence the quality and properties of the formed product and the force and energy requirements of /5(4). Information on material flow, die fill, forging load, die stress, grain flow, defect formation and ductile fracture (all products).
Rigid, elastic, and thermo-viscoplastic material models, which are ideally suited for large deformation modeling (all products). Elastic-plastic material model for residual stress and springback problems. (Pro, 2D. Progressive strain and flow in 2D Describing flow.
Defining the complete strain history is a much larger challenge than measuring the finite strain. To keep thing simple at first we will continue to deal with only two dimensions - nothing flows in or out of our cross-section - 'plane strain'.
For the Love of Physics - Walter Lewin - - Duration: Lectures by Walter Lewin. They will make you ♥ Physics. Recommended for you.- plane stress and plane strain elements - axisymmetric elements • The derivations used for the two dimensional elements can be easily extended to the derivation of three dimensional elements.
Hence we concentrate our discussion now first on the two-dimensional elements. TWO-DIMENSIONAL AXISYMMETRIC, PLANE STRAIN AND PLANE STRESS ELEMENTS.