A damage-based temperature-dependent model for ductile fracture with finite strains and configurational forces

Goethem, Nicolas Van; Areias, P.

doi:10.1007/s10704-012-9776-1

Cited by 7 publications

(4 citation statements)

References 43 publications

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“…where w is the internal variable function (a thermodynamical approach was recently employed by Areias and Van Goethem [65]). In (54)- (57), w is the internal variable evolution function and E p ab is the relative plastic strain.…”

Section: Ductile Problems With Semi-implicit Integrationmentioning

confidence: 99%

An Efficient Technique for Surface Strain Recovery from Photogrammetric Data using Meshless Interpolation

Godinho

Dias-da-Costa

Valença

et al. 2013

Strain

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a b s t r a c tIn the context of plane fracture problems, we introduce an algorithm based on our previously proposed rotation of edges but now including the injection of continuum softening elements directly in the process region. This is an extension of the classical smeared (or regularized) approach to fracture and can be seen as an intermediate proposition between purely cohesive formulations and the smeared modeling. Characteristic lengths in softening are explicitly included as width of injected elements. For materials with process regions with macroscopic width, the proposed method is less cumbersome than the cohesive zone model. This approach is combined with smoothing of the complementarity condition of the constitutive law and the consistent updated Lagrangian method recently proposed, which simplifies the internal variable transfer. Propagation-wise, we use edge rotation around crack front nodes in surface discretizations and each rotated edge is duplicated. Modified edge positions correspond to the crack path (predicted with the Ma-Sutton method). Regularized continuum softening elements are then introduced in the purposively widened gap. The proposed solution has algorithmic and generality benefits with respect to enrichment techniques such as XFEM. The propagation algorithm is simpler and the approach is independent of the underlying element used for discretization. To illustrate the advantages of our approach, yield functions providing particular cohesive behavior are used in testing. Traditional fracture benchmarks and newly proposed verification tests are solved. Results are found to be good in terms of load/deflection behavior.

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Section: Ductile Problems With Semi-implicit Integrationmentioning

confidence: 99%

An Efficient Technique for Surface Strain Recovery from Photogrammetric Data using Meshless Interpolation

Godinho

Dias-da-Costa

Valença

et al. 2013

Strain

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“…Recent developments have shown these pragmatical methods (e.g. ) to be adequate for ductile fracture. As a summary, both theoretically sound (e.g.…”

Section: Introductionmentioning

confidence: 99%

Finite strain fracture of plates and shells with configurational forces and edge rotations

Areias

Rabczuk

2013

Numerical Meth Engineering

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231

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SUMMARYWe propose a simple and efficient algorithm for FEM‐based computational fracture of plates and shells with both brittle and ductile materials on the basis of edge rotation and load control. Rotation axes are the crack front nodes, and each crack front edge in surface discretizations affects the position of only one or two nodes. Modified positions of the entities maximize the modified mesh quality complying with the predicted crack path (which depends on the specific propagation theory in use). Compared with extended FEM or with classical tip remeshing, the proposed solution has algorithmic and generality advantages. The propagation algorithm is simpler than the aforementioned alternatives, and the approach is independent of the underlying element used for discretization. For history‐dependent materials, there are still some transfer of relevant quantities between elements. However, diffusion of results is more limited than with tip or full remeshing. To illustrate the advantages of our approach, three prototype models are used: tip energy dissipation linear elastic fracture mechanics (LEFM), cohesive‐zone approaches, and ductile fracture. Both the Sutton crack path criterion and the path estimated by the Eshelby tensor are employed. Traditional fracture benchmarks, including one with plastic hinges, and newly proposed verification tests are solved. These were found to be very good in terms of crack path and load ∕ deflection accuracy. Copyright © 2013 John Wiley & Sons, Ltd.

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“…where x is the internal variable function (a thermodynamical approach was recently employed by Areias and Van Goethem [47]). Conditions (50) and (51) can replaced by a single non-smooth equation:…”

Section: Semi-implicit Integrationmentioning

confidence: 99%

A finite strain quadrilateral based on least-squares assumed strains

Areias

Rabczuk

Sá

2015

Engineering Structures

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A damage-based temperature-dependent model for ductile fracture with finite strains and configurational forces

Cited by 7 publications

References 43 publications

An Efficient Technique for Surface Strain Recovery from Photogrammetric Data using Meshless Interpolation

An Efficient Technique for Surface Strain Recovery from Photogrammetric Data using Meshless Interpolation

Finite strain fracture of plates and shells with configurational forces and edge rotations

A finite strain quadrilateral based on least-squares assumed strains

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