Theoretical elastic stress singularities... much maligned and misunderstood

James Wood, Mikael Olsson Robbie, Niall Robert Hamilton, David Easton, Yuxuan Zhang

Research output: Contribution to conferencePaper

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Abstract

Singularities are invariably present in engineering simulation models due to the idealisations used for geometry and transitions from one material or thickness to another. As will be shown they are locations where the elastic stress is infinite, or tends to infinity with mesh refinement in some discretized idealisations. It will be emphasized that the singularities are also theoretical in nature as they cannot exist in practice. Despite the idealised nature of such singularities however, it is argued that a better understanding of their characteristics will allow them to be handled in an appropriate way in modelling and could also provide better insight into their use in making design choices and for the development of assessment procedures. Given that these are the likely locations of highest stress in any finite element idealisation, such an understanding should also prevent the misuse of stresses at such locations.
Original languageEnglish
Number of pages20
Publication statusPublished - 21 Jun 2015
EventNAFEMS World Congress 2015 - California, San Diego, United States
Duration: 21 Jun 201524 Jun 2015

Conference

ConferenceNAFEMS World Congress 2015
CountryUnited States
CitySan Diego
Period21/06/1524/06/15

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Stress Singularity
Singularity
Mesh Refinement
Simulation Model
Likely
Infinity
Tend
Finite Element
Engineering
Geometry
Modeling

Keywords

  • stress singularities
  • nature and characterisation
  • finite element analysis

Cite this

Wood, J., Olsson Robbie, M., Hamilton, N. R., Easton, D., & Zhang, Y. (2015). Theoretical elastic stress singularities... much maligned and misunderstood. Paper presented at NAFEMS World Congress 2015, San Diego, United States.
Wood, James ; Olsson Robbie, Mikael ; Hamilton, Niall Robert ; Easton, David ; Zhang, Yuxuan. / Theoretical elastic stress singularities... much maligned and misunderstood. Paper presented at NAFEMS World Congress 2015, San Diego, United States.20 p.
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Wood, J, Olsson Robbie, M, Hamilton, NR, Easton, D & Zhang, Y 2015, 'Theoretical elastic stress singularities... much maligned and misunderstood' Paper presented at NAFEMS World Congress 2015, San Diego, United States, 21/06/15 - 24/06/15, .

Theoretical elastic stress singularities... much maligned and misunderstood. / Wood, James; Olsson Robbie, Mikael; Hamilton, Niall Robert; Easton, David; Zhang, Yuxuan.

2015. Paper presented at NAFEMS World Congress 2015, San Diego, United States.

Research output: Contribution to conferencePaper

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Wood J, Olsson Robbie M, Hamilton NR, Easton D, Zhang Y. Theoretical elastic stress singularities... much maligned and misunderstood. 2015. Paper presented at NAFEMS World Congress 2015, San Diego, United States.