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Title:Linear elastic and elasto-plastic stress analysis for adhesive lap joints
Author(s):Liu, An-Ton
Subject(s):Linear Elastic
Elasto-plastic Stress Analysis
Adhesive Lap Joints
Finite Element Stress Analysis
Abstract:This study provided a finite element stress analysis for adhesive lap joints subjected to a general loading condition which consisted of a tensile force, a shear force and a bending moment applied at the ends of the adherends. Joints with both identical and non-identical adherends were studied. A plane strain state was assumed for the problem. The analysis was divided into three parts. The first part provided a linear elastic stress analysis. The second part provided a refined treatment for the stress field near the singular points (leading corners) by means of existing elastic stress singularity solutions. The third part provided an elastoplastic stress analysis in which all three materials involved were assumed to first exhibit a linear elastic behavior at low stress levels, yield and exhibit a non-linear behavior due to plasticity when stress levels exceeded their respective yield strengths. Eight-node quadratic isoparametric elements, each with nine Gaussian integrating points, were used for the discretization of the structure. An incremental procedure was used to study the non-linear behavior due to plasticity. Within an increment of load the "initial" stresses at a nodal point which were released due to plasticity were distributed to the surrounding nodal points by using the initial unchanged stiffness at the beginning of the increment. Stress distributions and concentrations in the adhesive layer for different joint parameters (geometries, material properties and loading conditions) were studied and compared. The reduction of stress concentrations and the redistribution of stresses due to plastic deformations of the adhesive were studied and compared to the linear elastic solution.
Issue Date:1976-07
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 410
1976-6005
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112144
ISSN:0073-5264
Sponsor:Naval Air Systems Command 76/07 N000 19 73 C 0154 76/07
Rights Information:Copyright 1976 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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