Research Papers: Numerical Methods

Progress in Lower Bound Direct Methods

[+] Author and Article Information
D. Weichert

Institute of General Mechanics,
Templergraben 64,
Aachen 52056, Germany
e-mail: weichert@iam.rwth-aachen.de

A. Hachemi

Department of Engineering,
P.O. Box 1816,
Athaibah PC 130, Oman
e-mail: abdelkader.hachemi@gutech.edu.om

J. Simon

Institute of Applied Mechanics
Mies-van-der-Rohe-Str. 1,
Aachen 52074, Germany
e-mail: Jaan.Simon@rwth-aachen.de

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 31, 2014; final manuscript received January 14, 2015; published online March 23, 2015. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 137(3), 031005 (Jun 01, 2015) (7 pages) Paper No: PVT-14-1120; doi: 10.1115/1.4029618 History: Received July 31, 2014; Revised January 14, 2015; Online March 23, 2015

The paper reports on recent progress in numerical shakedown and limit analysis based on Melan's lower bound shakedown theorem. After explaining the theoretical foundations of their approach, the authors describe in detail the numerical scheme, in particular the underlying optimization via interior point methods. Numerous examples mostly related to pressure vessel technology are presented, illustrating the potential of the method.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 2

FE-mesh of pipe-junction

Grahic Jump Location
Fig. 1

Illustration of the two-yield surfaces

Grahic Jump Location
Fig. 3

Loading and FE mesh of the sheet

Grahic Jump Location
Fig. 4

Admissible loading domains for the elastic-perfectly plastic case

Grahic Jump Location
Fig. 5

Admissible loading domains with limited kinematical hardening

Grahic Jump Location
Fig. 6

System, mechanical loading, and mesh of the flanged pipe

Grahic Jump Location
Fig. 7

Three-dimensional shakedown without hardening

Grahic Jump Location
Fig. 8

Shakedown domain with hardening σU = 1.1 σY

Grahic Jump Location
Fig. 9

Shakedown domain with hardening σU = 1.25 σY

Grahic Jump Location
Fig. 10

Shakedown domain with hardening σU = 1.5 σY

Grahic Jump Location
Fig. 11

Shakedown domain with unlimited hardening

Grahic Jump Location
Fig. 12

Geometry and loading of the Klöpperboden model

Grahic Jump Location
Fig. 13

FEM-model with boundary conditions

Grahic Jump Location
Fig. 14

Elastic domain for the case of proportionally varying P/M/F

Grahic Jump Location
Fig. 15

Elastic domain for the case of independently varying P/M/F

Grahic Jump Location
Fig. 16

Shakedown domain for the case of independently varying P/M/F




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In