contributor author | E. Nakamachi | |
contributor author | R. Sowerby | |
date accessioned | 2017-05-08T23:26:31Z | |
date available | 2017-05-08T23:26:31Z | |
date copyright | September, 1988 | |
date issued | 1988 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26297#667_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103499 | |
description abstract | The paper presents an updated Lagrangian-type finite element procedure, formulated with reference to a surface embedded coordinated system. Membrane shell theory is employed, and an attempt is made to calculate the strain distribution incurred by a peripherally clamped square plate, when impressed by a rigid punch. Three different punch geometries were considered. The material is treated as a rate insentive, elastic work-hardening solid, which obeys the J2 flow theory; both finite deformation and normal anisotropy can be considered. A linear relationship between the Jaumann rate of Cauchy stress and the Eulerian rate of Green’s strain tensor is derived. A slip-stick model was adopted for the interfacial frictional conditions. This was achieved by considering the equilibrium of a constant strain-element node in contact with the tools, and deciding whether such a node would stick or slip under Coulomb friction conditions. It is demonstrated that the punch geometry and frictional conditions exert a strong influence on the deformation mode, and hence, upon the overall strain distribution. The predictions were checked against experimental observations when stretch-forming square plates of pure aluminum, 0.5-mm thick. Contours of equal height on the deforming blanks were determined using a Moiŕe fringe technique. The agreement between theory and experiment was favorable. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Finite Element Modeling of the Punch Stretching of Square Plates | |
type | Journal Paper | |
journal volume | 55 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3125846 | |
journal fristpage | 667 | |
journal lastpage | 671 | |
identifier eissn | 1528-9036 | |
keywords | Finite element analysis | |
keywords | Modeling | |
keywords | Plates (structures) | |
keywords | Deformation | |
keywords | Friction | |
keywords | Aluminum | |
keywords | Coulombs | |
keywords | Stress | |
keywords | Anisotropy | |
keywords | Equilibrium (Physics) | |
keywords | Tensors | |
keywords | Equipment and tools | |
keywords | Geometry | |
keywords | Membranes | |
keywords | Shells | |
keywords | Work hardening | |
keywords | Blanks AND Flow (Dynamics) | |
tree | Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003 | |
contenttype | Fulltext | |