Two- and three-dimensional geometrical nonlinear finite elements for analysis of adhesive joints

Andruet, Raul H.; Dillard, David A.; Holzer, Siegfried M.

doi:10.1016/s0143-7496(00)00024-5

Cited by 94 publications

(35 citation statements)

References 9 publications

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“…Meanwhile, the relationship between the traction and separation is defined as the interface cohesive law for the fracture process. The CZMs have evolved as a preferred method to analyze fracture problems because: (1) it avoids the stress singularity and considers the physical fracture process in a more realistic manner (Hillerborg et al 1976;Rose et al 1983;Needleman 1987;Tvergaard 1990;Tvergaard and Hutchinson 1994); (2) it can be readily incorporated in the traditional numerical analysis, such as in finite element method (Tvergaard and Hutchinson 1992;Xu and Needleman 1993;Corigliano 1993;Tvergaard and Hutchinson 1996;Camacho and Ortiz 1996;Chowdhury and Narasimhan 2000;Yang et al 2001;Alfano and Crisfield 2001;Andruet et al 2001;Pardoen et al 2005;Salomonsson and Andersson 2008;Parrinello et al 2009;Yan and Shang 2009;de Moura et al 2009). …”

Section: Introductionmentioning

confidence: 99%

Effects of bondline thickness on Mode-II interfacial laws of bonded laminated composite plate

Ouyang

2010

Int J Fract

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For a variety of modern industries, interfacial delamination is a critical issue for the design and application of laminated composite structures. Numerous global experimental studies have been conducted to characterize the toughness of adhesively bonded composite structures. In the recent two decades, cohesive zone models (CZMs) have been receiving intensive attentions. The local interfacial traction-separation laws as the fundamental input are crucial for the successful applications of CZMs. Several local tests have also been conducted to determine the interfacial traction-separation laws in adhesively bonded joints. However, very few tests have been employed to investigate the dependency of the local interfacial traction-separation laws on the bondline thickness, particularly, for the laminated composite joints under Mode-II loading conditions. In this work, the effects of bondline thickness on the interfacial behavior have been systematically investigated at various typical bondline thicknesses (from 0.1 to 0.8 mm). The effects of adhesive thickness on the interfacial toughness, interfacial strength, and shapes of the local interfacial traction-separation laws have also been evaluated. The test results indicated that the measured Mode-II (shear test) interfacial

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Section: Introductionmentioning

confidence: 99%

Effects of bondline thickness on Mode-II interfacial laws of bonded laminated composite plate

Ouyang

2010

Int J Fract

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“…Other FE modelling researchers [7][8][9] have formulated special adhesive joint elements, but none of these are to be found in commercially FE codes [10]. Modelling a relatively thin adhesive layer (< 1 mm thick) with solid (brick) elements produces models with too many degrees of freedom (d.o.f.…”

Section: Pagementioning

confidence: 99%

A finite element modelling methodology for the non-linear stiffness evaluation of adhesively bonded single lap-joints: Part 1. Evaluation of key parameters

Pearson

Mottram

2012

Computers & Structures

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Reported in this paper is the development and verification of a finite element model with the fewest solid elements that can predict the non-linear stiffness characteristics of adhesively bonded single lap-joints in vehicle bodies. This work was driven by the need to significantly reduce computing hardware resources and run times for whole body analyses, and to achieve this goal the lap-joint needs to be modelled by a 'small' number of shell elements. It is wellknown that the deformation of bonded lap-joints is dependent on seven key parameters, and that it is impractical to have a comprehensive characterisation of these by physical testing alone. To gain further understanding of the influence of these parameters on joint stiffness, over a wider range of variables than could be practically achieved in the laboratory, the ANSYS finite element code is used to simulate the highly non-linear (geometric and material) response of bonded joints. The authors use the laboratory results for joint stiffness from nineteen batches of laboratory specimens to aid the development, and verification, of numerical derived stiffness curves from a solid element model. Initially, a very refined mesh is used. This model is developed to have a 'coarse' solid element mesh that minimises run times without the calculated joint stiffness deviating by more than 10% from the batch mean * Corresponding author: E-mail I.T.Pearson@warwick.ac.uk Page 2 of 10 measurements from laboratory testing. Numerical results from many simulations using the 'coarse' solid mesh model are used to show that, for the shell modelling methodology (reported in Part 2 on this work) to be successful, a representative model must account for the four key parameters of: adherend stress-strain relationship, adherend thickness, bond line thickness, and the over lap length. The ANSYS results also confirm that stiffness is directly proportional to joint width.

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“…This approach was used in References [1][2][3]. More recent FE-models of adhesive joints that can be sorted into this category can be found in References [4][5][6]. In Reference [4] the adherends were modelled as orthotropic plates (laminates) in cylindrical bending using assumptions as in classical laminate theory.…”

Section: Introductionmentioning

confidence: 99%

“…In Reference [4] the adherends were modelled as orthotropic plates (laminates) in cylindrical bending using assumptions as in classical laminate theory. In References [5,6], it was assumed that the adherends behave as shells and the adhesive layer was modelled as a 3-D solid (using brick elements). To obtain continuity of displacements at the adherend-adhesive interfaces, a set of interpolation functions was used.…”

Section: Introductionmentioning

confidence: 99%

Analysis of adhesively bonded joints: a finite element method and a material model with damage

Schmidt

Edlund

2005

Numerical Meth Engineering

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SUMMARYThis paper deals with the derivation of a finite element (FE) method for an adhesively bonded joint which consists of two relatively thin bodies, joined by an even thinner adhesive layer. It is based on a model of the compound joint where the three bodies involved are described as material surfaces. A geometrically two-dimensional model, where the middle surfaces of the upper and lower body are represented as geometrically coinciding surfaces, is obtained.An elastic-plastic material model with damage is used for the adhesive layer, and an important implication is that the (quasi-static) propagation of the local failure zone in the adhesive layer in a structure can be simulated. Consequently, the failure load is obtained as a computational result and no failure criterion is needed.The problem is discretized, and a surface model, where only a single surface needs to be FE-meshed, is obtained. A single-lap joint is analysed and good agreement is obtained when compared to an analysis using a fine mesh with brick element. Furthermore, the failure load is computed and compared with experiments.The derived FE method opens up the possibility to efficiently model and analyse the mechanical behaviour of large bonded structures.

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Two- and three-dimensional geometrical nonlinear finite elements for analysis of adhesive joints

Cited by 94 publications

References 9 publications

Effects of bondline thickness on Mode-II interfacial laws of bonded laminated composite plate

Effects of bondline thickness on Mode-II interfacial laws of bonded laminated composite plate

A finite element modelling methodology for the non-linear stiffness evaluation of adhesively bonded single lap-joints: Part 1. Evaluation of key parameters

Analysis of adhesively bonded joints: a finite element method and a material model with damage

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