Limit loads for structural elements made of heterogeneous materials

Min Chen, Abdelkader Hachemi, Dieter Weichert

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

1 Citation (Scopus)


A numerical method is presented for determining the limit loads of periodically heterogeneous structures subjected to variable loads. The Melan's lower-bound shakedown theorem was applied to representative volume elements. Combined with the homogenization technique, the homogenized material properties were determined through transformation from the mesoscopic to macroscopic admissible loading domains. For the numerical applications, solid non-conforming finite element discretization and large-scale nonlinear optimization, based on an interior-point-algorithm were used. The methodology is illustrated by the application to pipes models. This way, the proposed method provides a direct numerical approach to evaluate the macroscopic strength of heterogeneous structures with periodic micro- or meso-structure as a useful tool for the design of structures.

Original languageEnglish
Title of host publicationDesign and Analysis
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages6
ISBN (Print)9780791855027
Publication statusPublished - 2012
Externally publishedYes
EventASME 2012 Pressure Vessels and Piping Conference, PVP 2012 - Toronto, ON, Canada
Duration: 15 Jul 201219 Jul 2012

Publication series

NameAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
ISSN (Print)0277-027X


ConferenceASME 2012 Pressure Vessels and Piping Conference, PVP 2012
CityToronto, ON

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