Interphasic Formulation for the Prediction of Delamination

Goyal, Vinay K.; Klug, John C.

doi:10.2514/6.2004-1845

Cited by 8 publications

(5 citation statements)

References 13 publications

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“…Λ I and λ II are material parameters that determine the failure locus. It was found by Goyal and Klug (2004) that with λ I = λ II = 1, the predicted bond failure strength agreed well with experimental results.…”

Section: Strain Energy Density Modelsupporting

confidence: 72%

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Static and cyclic behavior of steel beams retrofitted with fiber reinforced polymer laminates

Yu¹

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Section: Strain Energy Density Modelsupporting

confidence: 72%

“…Under mixed mode loading the crack initiates when the mixed mode fracture criterion is satisfied. The mixed mode fracture criterion was given by (Tong 1998, Yang and Thouless 2001, Goyal and Klug 2004:…”

Section: Strain Energy Density Modelmentioning

confidence: 99%

Static and cyclic behavior of steel beams retrofitted with fiber reinforced polymer laminates

Yu¹

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“…where the mode mixity exponent ðnÞ is assumed to be one (Whitcomb, 1984;Mi et al, 1998;Dávila, 2001;Alfano and Crisfield, 2001;Reeder, 1992;Dávila and Camanho, 2003;Goyal and Klug, 2004). Finally, the initial stiffness ðkÞ in the traction law is fixed.…”

Section: Kriging Analysis Using the Dace Toolkit And In Association Wmentioning

confidence: 99%

The influence of adhesive constitutive parameters in cohesive zone finite element models of adhesively bonded joints

Gustafson

Waas

2009

International Journal of Solids and Structures

166

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Keywords: Single lap joint Double cantilever beam End notch flexure Adhesive bond Parameter interaction Composite Computer experiments Fracture Kriging analysis Latin hypercube sampling Toughness Strength Sensitivity a b s t r a c tThe influence of adhesive parameters on the outcome of cohesive zone finite element simulations is reported. The simulations are of adhesively bonded joint configurations that are used to characterize joint performance (including the double cantilever beam, the end notch flexure, and the single lap joint). The coupon level experiments are often used individually to determine a single parameter in an adhesive constitutive model (such as a cohesive strength or toughness). In this study, the influence of strength, toughness, and other parameters are considered simultaneously in examining their effect on the finite element (FE) output for each test. In specifying input parameters, the assumed shape of the cohesive traction law is also considered. It is shown that the double cantilever beam model output is dependent primarily on one parameter, whereas the end notch flexure and single lap joint models are dependent on multiple adhesive parameters. By extension, these dependencies require consideration when mapping the results of physical experiments into a set of adhesive model inputs. It is also shown that the shape of the traction law appears insignificant to the outcome of the models. Sensitivities to input parameters are illuminated through kriging analysis of the finite element results; the parameter values are chosen via Latin hypercube sampling. Surrogate models are created and are used to quantify the sensitivities. A mapping technique is described for evaluating the output of physical tests.

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“…It has also been observed that defining a delay in the damage occurrence, as in [15], can also limit numerical difficulties in the solution procedure, while slightly increasing the resulting maximum load level. Finally, different strategies, described in [16], for computing the material stiffness are also available here: allowing the use of the consistent, tangent or null stiffness in the softening part of the constitutive laws. A tangent stiffness is used in the following applications.…”

Section: Figurementioning

confidence: 99%

Modeling Inter-Laminar Failure in Composite Structures: Illustration on an Industrial Case Study

Bruyneel¹,

Delsemme²,

Jetteur³

et al. 2009

Appl Compos Mater

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This paper presents a solution procedure made available at an industrial level to study delamination in composites. Two approaches are presented. The first one is based on an original VCE (Virtual Crack Extension) method used to provide a quick estimate of the propagation load and the critical inter-laminar cracks, in a linear finite element analysis. The second approach relies on cohesive elements, and implies a non linear analysis. More general than the fracture mechanics (VCE) approach, the cohesive elements technique allows to provide the value of the maximum load that can be sustained by the structure, and to predict the residual strength and stiffness over the fracture process. Those two methods are first compared in a DCB test case to show that the results agree well with those from the literature or with the analytical solutions. Finally, a multidelaminated industrial test case is solved with both approaches.

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Interphasic Formulation for the Prediction of Delamination

Cited by 8 publications

References 13 publications

Static and cyclic behavior of steel beams retrofitted with fiber reinforced polymer laminates

Static and cyclic behavior of steel beams retrofitted with fiber reinforced polymer laminates

The influence of adhesive constitutive parameters in cohesive zone finite element models of adhesively bonded joints

Modeling Inter-Laminar Failure in Composite Structures: Illustration on an Industrial Case Study

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