A custom arc-length Finite Element solver for large deformation adhesive contacts using a k-d tree accelerated volumetric interaction scheme

Roy, S and Sundaram, NK (2023) A custom arc-length Finite Element solver for large deformation adhesive contacts using a k-d tree accelerated volumetric interaction scheme. In: International Journal for Numerical Methods in Engineering .

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Abstract

This paper introduces a Finite Element framework for large deformation adhesive contact between elastic bodies based on volume-to-volume interaction. A key component of this framework is a novel, customized arc-length algorithm designed to follow the solution path through multiple snap-through and snap-back instabilities. Another new component is a k-d tree based algorithm which significantly accelerates the computationally expensive volume-to-volume interaction calculations. This optimized Finite Element framework is then used to solve two-body and three-body elastic adhesive contact problems with realistic material and interaction parameters, using a 6-12 Lennard-Jones interaction potential. The improved efficiency of the k-d tree based scheme makes it indispensable for interaction calculations. This paper also shows the importance of implementing adhesion-specific customizations in the arc-length solver. © 2023 John Wiley & Sons Ltd.

Item Type:	Journal Article
Publication:	International Journal for Numerical Methods in Engineering
Publisher:	John Wiley and Sons Ltd
Additional Information:	The copyright of this article belongs to John Wiley and Sons Ltd.
Keywords:	Adhesives; Carbon dioxide arc welding; Finite element method; Trees (mathematics); Adhesive contact; Arc length; Finite element solver; Interaction schemes; K-d tree; Larger deformations; Multi-physics; Non-linear finite elements; Volume interactions; Volumetrics; Multiphysics
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	12 Mar 2023 06:03
Last Modified:	12 Mar 2023 06:03
URI:	https://eprints.iisc.ac.in/id/eprint/80959

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