A meshfree b-spline finite element formulation for unilateral contact problems

Alex Grishin, Jami J. Shah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The integrated, accurate and robust analysis of unilateral structural contact problems at all scales is a prerequisite for a comprehensive CAE process which accommodates the design of assemblies. In addition, such an integration must reduce any manual intervention to a bare minimum. The current reliance on legacy mesh-based finite element software for such analysis instead leads to excessive manual mesh construction and modification. Although the adoption of a meshfree formulation would seem to hold the answer, the current state-of-the-art in nodebased formulations suffers from a lack of stability and/or consistency for such applications. This investigation demonstrates that there exists a meshfree B-Spline formulation which is consistent, stable, and demonstrates accuracy comparable to that of mesh-based approaches for simple frictionless Hertzian problems in two dimensions. Together with the Solution Structure Method (SSM) of boundary condition enforcement, it is argued that this approach may provide a more robust finite element framework within existing CAE pipelines.

Original languageEnglish (US)
Title of host publicationASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
Pages91-104
Number of pages14
EditionPARTS A AND B
DOIs
StatePublished - 2011
EventASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 - Washington, DC, United States
Duration: Aug 28 2011Aug 31 2011

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A AND B
Volume2

Other

OtherASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
CountryUnited States
CityWashington, DC
Period8/28/118/31/11

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Fingerprint Dive into the research topics of 'A meshfree b-spline finite element formulation for unilateral contact problems'. Together they form a unique fingerprint.

Cite this