Steady planar ideal flow of anisotropic materials
This paper extends the ideal flow theory, which is well known for isotropic rigid perfectly plastic materials, to quite general orthotropic materials which comply with the principle of maximum plastic dissipation. The new theory is restricted to steady planar flow. The original ideal flow theory is...
Saved in:
Main Authors: | , , |
---|---|
Format: | Article |
Published: |
Springer Netherlands
2016
|
Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/72123/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954320500&doi=10.1007%2fs11012-016-0362-x&partnerID=40&md5=9b82f3d41c5572c153a812933fa6b3fe |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.utm.72123 |
---|---|
record_format |
eprints |
spelling |
my.utm.721232017-11-23T06:19:24Z http://eprints.utm.my/id/eprint/72123/ Steady planar ideal flow of anisotropic materials Alexandrov, S. Mustafa, Y. Lyamina, E. TJ Mechanical engineering and machinery This paper extends the ideal flow theory, which is well known for isotropic rigid perfectly plastic materials, to quite general orthotropic materials which comply with the principle of maximum plastic dissipation. The new theory is restricted to steady planar flow. The original ideal flow theory is widely used as the basis for inverse methods for the preliminary design of metal forming processes driven by minimum plastic work. The new theory extends this area of application to orthotropic materials. Moreover, another design criterion based on the Cockroft–Latham ductile fracture criterion is incorporated in the theory. To this end, the extended Bernoulli’s theorem relating pressure and velocity along any streamline during the steady planar flow of rigid perfectly plastic solids when the streamline is coincident everywhere with a principal stress trajectory is used. In particular, this theorem and the concept of ideal flow combine to evaluate the integral involved in the ductile fracture criterion. The final result is a simple relation between process parameters and the constitutive parameter involved in the ductile fracture criterion. The simplicity of this relation makes it suitable for quick design of metal forming processes. Springer Netherlands 2016 Article PeerReviewed Alexandrov, S. and Mustafa, Y. and Lyamina, E. (2016) Steady planar ideal flow of anisotropic materials. Meccanica, 51 (9). pp. 2235-2241. ISSN 0025-6455 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954320500&doi=10.1007%2fs11012-016-0362-x&partnerID=40&md5=9b82f3d41c5572c153a812933fa6b3fe |
institution |
Universiti Teknologi Malaysia |
building |
UTM Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
Universiti Teknologi Malaysia |
content_source |
UTM Institutional Repository |
url_provider |
http://eprints.utm.my/ |
topic |
TJ Mechanical engineering and machinery |
spellingShingle |
TJ Mechanical engineering and machinery Alexandrov, S. Mustafa, Y. Lyamina, E. Steady planar ideal flow of anisotropic materials |
description |
This paper extends the ideal flow theory, which is well known for isotropic rigid perfectly plastic materials, to quite general orthotropic materials which comply with the principle of maximum plastic dissipation. The new theory is restricted to steady planar flow. The original ideal flow theory is widely used as the basis for inverse methods for the preliminary design of metal forming processes driven by minimum plastic work. The new theory extends this area of application to orthotropic materials. Moreover, another design criterion based on the Cockroft–Latham ductile fracture criterion is incorporated in the theory. To this end, the extended Bernoulli’s theorem relating pressure and velocity along any streamline during the steady planar flow of rigid perfectly plastic solids when the streamline is coincident everywhere with a principal stress trajectory is used. In particular, this theorem and the concept of ideal flow combine to evaluate the integral involved in the ductile fracture criterion. The final result is a simple relation between process parameters and the constitutive parameter involved in the ductile fracture criterion. The simplicity of this relation makes it suitable for quick design of metal forming processes. |
format |
Article |
author |
Alexandrov, S. Mustafa, Y. Lyamina, E. |
author_facet |
Alexandrov, S. Mustafa, Y. Lyamina, E. |
author_sort |
Alexandrov, S. |
title |
Steady planar ideal flow of anisotropic materials |
title_short |
Steady planar ideal flow of anisotropic materials |
title_full |
Steady planar ideal flow of anisotropic materials |
title_fullStr |
Steady planar ideal flow of anisotropic materials |
title_full_unstemmed |
Steady planar ideal flow of anisotropic materials |
title_sort |
steady planar ideal flow of anisotropic materials |
publisher |
Springer Netherlands |
publishDate |
2016 |
url |
http://eprints.utm.my/id/eprint/72123/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954320500&doi=10.1007%2fs11012-016-0362-x&partnerID=40&md5=9b82f3d41c5572c153a812933fa6b3fe |
_version_ |
1643656361470328832 |
score |
13.209306 |