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On the use of homogeneous polynomial...

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On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming./
Author:	Soare, Stefan C.
Description:	165 p.
Notes:	Adviser: Oana Cazacu.
Contained By:	Dissertation Abstracts International69-01B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299353
ISBN:	9780549436447

On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming.
Soare, Stefan C.

On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming. - 165 p.

Adviser: Oana Cazacu.

Thesis (Ph.D.)--University of Florida, 2007.

Within the framework of phenomenological plasticity, this work proposes a new look at polynomial anisotropic yield functions. Their range of applications has been severely limited in the past by convexity issues. A simple constrained optimization scheme is proposed here to solve this problem. It is shown that homogeneous polynomials of fourth, sixth and eighth order can be powerful tools for modeling almost any type of variation in directional properties of plastic flow. The plane stress formulations, suitable for sheet forming applications, are considered first. Then a simple method for generating minimalist 3D extensions, based mostly on the plane stress criterion, is presented.

ISBN: 9780549436447Subjects--Topical Terms:

783786
Engineering, Mechanical.

On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming.
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020 $a 9780549436447
035 $a (UMI)AAI3299353
035 $a AAI3299353
040 $a UMI $c UMI
100 1 $a Soare, Stefan C. $3 1057973
245 1 0 $a On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming.
300 $a 165 p.
500 $a Adviser: Oana Cazacu.
500 $a Source: Dissertation Abstracts International, Volume: 69-01, Section: B, page: 0636.
502 $a Thesis (Ph.D.)--University of Florida, 2007.
520 $a Within the framework of phenomenological plasticity, this work proposes a new look at polynomial anisotropic yield functions. Their range of applications has been severely limited in the past by convexity issues. A simple constrained optimization scheme is proposed here to solve this problem. It is shown that homogeneous polynomials of fourth, sixth and eighth order can be powerful tools for modeling almost any type of variation in directional properties of plastic flow. The plane stress formulations, suitable for sheet forming applications, are considered first. Then a simple method for generating minimalist 3D extensions, based mostly on the plane stress criterion, is presented.
520 $a The polynomial approach is then employed to develop a more general method of designing yield surfaces. The new method allows for yield surfaces without a center of symmetry, a property useful for modeling metals with strength differential, that is, metals with different yielding properties in tension and compression.
520 $a Several applications to deep drawing and the prediction of forming limit diagrams are considered. Particular attention is paid to the prediction of earing in cylindrical cups, as a method of validation of the yield function. The prediction of the forming limit curve in biaxial stretching is also an important test of the capabilities of a yield function, the most important factor being the correct description of the biaxial yield curve. It is shown that polynomial yield functions can be successfully used for both earing and FLD prediction.
590 $a School code: 0070.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Engineering, Metallurgy. $3 1023648
690 $a 0548
690 $a 0743
710 2 $a University of Florida. $3 718949
773 0 $t Dissertation Abstracts International $g 69-01B.
790 $a 0070
790 1 0 $a Cazacu, Oana, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299353