A consistent geometrically non‐linear approach for delamination

By Garth N. Wells, R. de Borst, Lambertus J. Sluys. 2002

157 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3ca955212ab2a7171e38d253055b6bbfa418f10d

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A cohesive segments method for the simulation of crack growth (2003, unknown): “Although the formulation can be applied to finite deformations [25, 26], we restrict attention to small displacement gradients.”
A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks (2008, unknown): “…of ﬁnite element shape functions [2], as has been done successfully in applications to cracking in single-phase media: Black and Belytschko [5], Moës et al. [16], Belytschko et al. [3], Wells and Sluys [25,26], Wells et al. [27,28], Remmers et al. [17], Réthoré et al. [18,19], de Borst et al. [7].”
3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths (2006, methodology): “Following [ 56 ], oXd is defined via the average deformation gradient Fd(Xd )= I + Grad uc + ue � N/2, with det Fd = Jd > 0, where the factor 1/2 enforces oXd to be placed in the middle between the two (physical) surfaces created by the crack formation.”
Towards the algorithmic treatment of 3D strong discontinuities (2006, background): “[13, 15], Möes & Belytschko [14] and Gasser & Holzapfel [17].”
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment (2003, methodology): “[14] have modelled static cohesive cracks by this method.”
A dissipation‐based arc‐length method for robust simulation of brittle and ductile failure (2009, unknown): “Under the assumption that the crack opening remains small as long as the interface has not fully cracked, the elastic energy can be formulated in the undeformed configuration similarly as done in Equation (37) (see [30] for details).”
Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test (2004, background): “[12] recently extended this approach to geometrically nonlinear problems, albeit for compressible hyperelastic materials.”
An augmented finite element method for modeling arbitrary discontinuities in composite materials (2009, background): “Historically, such criteria always include a non-local integration domain around the crack tip to obtain a stress-based or energy-based physical quantity, such as the domain averaged maximum principal stress in Wells and Sluys (2001) and the critical stress intensity factor in Moes and Belytschko ”
Discrete vs smeared crack models for concrete fracture: bridging the gap (2004, unknown): “In another approach, the partition-of-unity property of finite element shape functions has been exploited to introduce cohesive surfaces in continuum finite elements [31–33].”
An extended finite element method with analytical enrichment for cohesive crack modeling (2009, methodology): “Both non-local stress measures [34] and stress extraction or smoothing methods (e.”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, methodology): “Numerical simulations based on CZM, SDA, and GFEM/XFEM are presented in [99–103], and [104], respectively.”
Cohesive‐zone models, higher‐order continuum theories and reliability methods for computational failure analysis (2004, background): “Another good example where the potential of cohesive-zone models can be exploited fully using traditional discrete interface elements, e.g. Reference [13], is the analysis of delamination in layered composite materials [14–17].”