Journal article
Determining the reference geometry of plastically deformed material body undergone monotonic loading and moderately large deformation
Finite elements in analysis and design, Vol.130, pp.1-11
08/2017
DOI: 10.1016/j.finel.2017.02.002
Abstract
This article presents an inverse method for predicting the reference geometry of plastically deformed material body. The reference configuration is found by solving an elastic-plastic boundary value problem to determine an inverse deformation that maps the spatial material points back to their reference positions. Rate-type elastoplastic constitutive laws are employed in the inverse analysis. When the stress exceeds the yield limit, the plastic flow is invoked and plastic variables are predicted. The ensuing stress field satisfies equilibrium and yield condition. However, the loading history is replicated only approximately and therefore the reference configuration is approximately recovered. The method is limited to a certain family of deformations. In this work, we restrict the method to problems involving monotonic loading and moderately large deformations. Numerical examples demonstrate that the method is effective and reasonably accurate for such problems.
•Developed a method for determining the reference geometry of a plastically deformed material body inversely by solving elastoplastic boundary value problem.•Discussed the limitation and scope of application of the method.•Demonstrated the method using a number of numerical examples involving different loading conditions, contact condition, and thermal plastic responses.
Details
- Title: Subtitle
- Determining the reference geometry of plastically deformed material body undergone monotonic loading and moderately large deformation
- Creators
- Jia Lu - University of IowaLinlin Li - Suzhou Industrial Park Institute of Vocational Technology, Suzhou, Jiangsu, China
- Resource Type
- Journal article
- Publication Details
- Finite elements in analysis and design, Vol.130, pp.1-11
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.finel.2017.02.002
- ISSN
- 0168-874X
- eISSN
- 1872-6925
- Language
- English
- Date published
- 08/2017
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196535202771
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