Computational Aspects of Nonlinear Fracture Mechanics

Brocks, W.; Cornec, A.; Scheider, Ingo

doi:10.1016/b0-08-043749-4/03102-5

Cited by 81 publications

(64 citation statements)

References 188 publications

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“…In the constitutive model for the adopted interface element, material nonlinearity is taken into account employing a cohesive model [37], which enables an effective representation of damage, cracks and plastic separations. In particular a multi-surface plasticity criterion is utilised.…”

Section: D Mesoscale Descriptionmentioning

confidence: 99%

Mesoscale partitioned analysis of brick-masonry arches

Zhang

Macorini

Izzuddin

2016

Engineering Structures

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Section: D Mesoscale Descriptionmentioning

confidence: 99%

Mesoscale partitioned analysis of brick-masonry arches

Zhang

Macorini

Izzuddin

2016

Engineering Structures

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“…Be that as it may, two families of fracture mechanics models stand out, cohesive zone models and continuum damage models (c.f. Brocks et al [6]). A different strategy was given by Stumpf et al [7], who used the notion of configurational forces to describe the evolution of a fracture process zone in ductile materials.…”

Section: Introductionmentioning

confidence: 99%

“…Rice [1]; Gurtin and Podio-Guidugli [2]; Tillberg et al [3]), a quantity that coincides with the energy release rate in the case of elastic materials. In situations involving elastic-plastic solids, it may happen that the calculated near tip J-integral vanishes (Rice [4], Simha et al [5], Brocks et al [6]), which implies that there is no driving force for crack growth. Hence, according to classical approach, fracture can not occur for such situations.…”

Section: Introductionmentioning

confidence: 99%

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

Duda

Ciarbonetti

Sánchez

et al. 2015

International Journal of Plasticity

204

106

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The formulation of a phase-field continuum theory for brittle fracture in elastic-plastic solids and its computational implementation are presented in this contribution. The theory is based on a virtual-power formulation in which two additional and independent kinematical descriptors are introduced, namely the phase-field and the accumulated plastic strain. Further, it incorporates irreversibility of both phase-field and plastic strain evolutions by introducing suitable constraints and by carefully heeding the influence of those constraints on the kinetics underlying microstructural changes associated with plasticity and fracture.The numerical implementation employs the finite-element method for spatial discretization and a splitting scheme with sub-stepping for the time integration. To illustrate its potential utility, we apply the model to a number of well known linear, as well as non-linear, fracture mechanics problems.The described phase-field model, coupled with plasticity, provides a feasible technique to analyzing crack initiation and the subsequent crack growth resistance only if the length scale parameter included in the phase-field model is finite and treated as a material parameter which should be properly characterized.

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“…Some main features of such constitutive relations were introduced in the first cohesive zone models tailored to analyse crack propagation in either ductile or brittle materials (a detailed review can be found in [5]). At present, the most advanced cohesive models are based on either softening plasticity [6] or damage mechanics [7].…”

Section: Introductionmentioning

confidence: 99%

A non‐linear interface element for 3D mesoscale analysis of brick‐masonry structures

Macorini

Izzuddin

2010

Numerical Meth Engineering

166

154

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This paper presents a novel interface element for the geometric and material nonlinear analysis of unreinforced brick-masonry structures. In the proposed modelling approach, the blocks are modelled using 3D continuum solid elements, while the mortar and brick-mortar interfaces are modelled by means of the 2D nonlinear interface element. This enables the representation of any 3D arrangement for brick-masonry, accounting for the in-plane stacking mode and the through-thickness geometry, and importantly it allows the investigation of both the in-plane and the out-of-plane response of unreinforced masonry panels. A co-rotational approach is employed for the interface element, which shifts the treatment of geometric nonlinearity to the level of discrete entities, and enables the consideration of material nonlinearity within a simplified local framework employing first-order kinematics. In this respect, the internal interface forces are modelled by means of elasto-plastic material laws based on work-softening plasticity and employing multi-surface plasticity concepts.Following the presentation of the interface element formulation details, several experimentalnumerical comparisons are provided for the in-plane and out-of-plane static behaviour of brick-masonry panels. The favourable results achieved demonstrate the accuracy and the significant potential of using the developed interface element for the nonlinear analysis of brick-masonry structures under extreme loading conditions. Keywords: non linear interface element, cohesive model, multi-surface plasticity, geometric nonlinearity, brick-masonry, in-plane and out-of-plane behaviour.

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Computational Aspects of Nonlinear Fracture Mechanics

Cited by 81 publications

References 188 publications

Mesoscale partitioned analysis of brick-masonry arches

Mesoscale partitioned analysis of brick-masonry arches

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

A non‐linear interface element for 3D mesoscale analysis of brick‐masonry structures

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