An augmented finite element method for modeling arbitrary discontinuities in composite materials |
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Authors: | Daosheng Ling Qingda Yang Brian Cox |
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Affiliation: | (1) MOE Key Lab of Soft Soils and Geo-environmental Engineering, Zhejiang University, Hangzhou, China;(2) Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL 33124, USA;(3) Teledyne Scientific Co LLC, Thousand Oaks, CA 91360, USA |
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Abstract: | An augmented finite element method (“A-FEM”) is presented that is a variant of the method of Hansbo and Hansbo (Comput Methods
Appl Mech Eng, 193: 3523–3540, 2004), which can fully account for arbitrary discontinuities that traverse the interior of
elements. Like the method of Hansbo and Hansbo, the A-FEM preserves elemental locality, because element augmentation is implemented
within single elements and involves nodal information from the modified element only. The A-FEM offers the additional convenience
that the augmentation is implemented via separable mathematical elements that employ standard finite element nodal interpolation
only. Thus, the formulation is fully compatible with standard commercial finite element packages and can be incorporated as
a user element without access to the source code. Because possible discontinuities include both elastic heterogeneity and
cracks, the A-FEM is ideally suited to modeling damage evolution in structural or biological materials with complex morphology.
Elements of a multi-scale approach to analyzing damage mechanisms in laminated or woven textile composites are used to validate
the A-FEM and illustrate its possible uses. Key capabilities of the formulation include the use of meshes that need not conform
to the surfaces of heterogeneities; the ability to apply the augmented element recursively, enabling modeling of multiple
discontinuities arising on different, possibly intersecting surfaces within an element; and the ease with which cohesive zone
models of nonlinear fracture can be incorporated. |
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Keywords: | Finite element method Cohesive zone model Discontinuity A-FEM Textile composite |
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