A cohesive element model for mixed mode loading with frictional contact capability

Snozzi, Léonardo; Molinari, Jean‐François

doi:10.1002/nme.4398

Cited by 80 publications

(66 citation statements)

References 37 publications

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“…(27). The laws obtained in this way are similar to those presented by Snozzi and Molinari [93], who used the constants in a slightly different way. For the case G II /G I = 2, Eq.…”

Section: Damaged Interface: Cohesive Traction-separation Lawssupporting

confidence: 77%

“…In other words, if a potential traction-separation law is formulated, it is not possible to distinguish energetically between pure mode I and pure mode II, as the fracture energy is required to be independent from the fracture path. However, as pointed out by some authors [92,93], it is reasonable to assume that the work of decohesion should be path dependent, as the energy dissipated in a fracture process depends on some microstructural details that inherently make mode II different from mode I, at least at a macroscopic level. In the framework introduced above, the fracture energy path-dependency can be achieved by simply discarding Eq.…”

Section: Damaged Interface: Cohesive Traction-separation Lawsmentioning

confidence: 99%

“…(6), the sudden transition between the two regimes can give raise to some physically inconsistent behavior as well as to some numerical problems. As pointed out by Snozzi and Molinari [93], this aspect has often been overlooked. To understand the issue, let us consider the interface between the two grains shown in Fig.…”

Section: Grains Interface Under Compressive-sliding Load: Cohesive-frmentioning

confidence: 99%

See 2 more Smart Citations

A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials

Benedetti

Aliabadi

2013

Computer Methods in Applied Mechanics and Engineering

117

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In this study, a novel three-dimensional micro-mechanical crystal-level model for the analysis of intergranular degradation and failure in polycrystalline materials is presented. The polycrystalline microstructures are generated as Voronoi tessellations, that are able to retain the main statistical features of polycrystalline aggregates. The formulation is based on a grain-boundary integral representation of the elastic problem for the aggregate crystals, that are modeled as threedimensional anisotropic elastic domains with random orientation in the three-dimensional space. The boundary integral representation involves only intergranular variables, namely interface displacement discontinuities and interface tractions, that play an important role in the micromechanics of polycrystals. The integrity of the aggregate is restored by enforcing suitable interface conditions, at the interface between adjacent grains. The onset and evolution of damage at the grain boundaries is modeled using an extrinsic non-potential irreversible cohesive linear law, able to address mixed-mode failure conditions. The derivation of the traction-separation law and its relation with potential-based laws is discussed. Upon interface failure, a non-linear frictional contact analysis is used, to address separation, sliding or sticking between micro-crack surfaces. To avoid a sudden transition between cohesive and contact laws, when interface failure happens under compressive loading conditions, the concept of cohesive-frictional law is introduced, to model the smooth onset of friction during the mode II decohesion process. The incrementaliterative algorithm for tracking the degradation and micro-cracking evolution is presented and discussed. Several numerical tests on pseudo-and fully three-dimensional polycrystalline microstructures have been performed. The influence of several intergranular parameters, such as cohesive strength, fracture toughness and friction, on the microcracking patterns and on the aggregate response of the polycrystals has been analyzed. The tests have demonstrated the capability of the formulation to track the nucleation, evolution and coalescence of multiple damage and cracks, under either tensile or compressive loads.

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“…(27). The laws obtained in this way are similar to those presented by Snozzi and Molinari [93], who used the constants in a slightly different way. For the case G II /G I = 2, Eq.…”

Section: Damaged Interface: Cohesive Traction-separation Lawssupporting

confidence: 77%

Section: Damaged Interface: Cohesive Traction-separation Lawsmentioning

confidence: 99%

Section: Grains Interface Under Compressive-sliding Load: Cohesive-frmentioning

confidence: 99%

See 1 more Smart Citation

A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials

Benedetti

Aliabadi

2013

Computer Methods in Applied Mechanics and Engineering

117

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show abstract

“…However, the shake table tests were stopped prematurely and hence no conclusions regarding the drift capacities at horizontal and vertical load failure under dynamic loads were possible. A numerical study by Snozzi and Molinari (2013) showed that the strength of URM walls is larger when subjected to higher strain rates due to a more diffuse cracking pattern. However, this study did not yield any information regarding the effect of the strain rate on the deformation capacity since the bricks were modelled as elastic.…”

Section: Quasi-static Vs Dynamic Testsmentioning

confidence: 99%

Towards Displacement-Based Seismic Design of Modern Unreinforced Masonry Structures

Beyer

Petry

Tondelli

et al. 2014

Geotechnical, Geological and Earthquake Engineering

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Unreinforced masonry (URM) structures are known to be rather vulnerable to seismic loading. Modern URM buildings with reinforced concrete (RC) slabs might, however, have an acceptable seismic performance for regions of low to moderate seismicity. In particular in countries of moderate seismicity it is often difficult to demonstrate the seismic safety of modern URM buildings by means of force-based design methods. Displacement-based design methods are known to lead to more realistic and less conservative results, opening up hence new opportunities for the use of structural masonry. An effective implementation of displacement-based design approaches requires reliable estimates of the structure's force and displacement capacity. This paper contributes to this endeavour by taking a fresh look at the drift capacity of URM walls with hollow clay bricks and mortar joints of normal thickness. It discusses in particular the influence of the size of the test unit and the applied loading history and loading velocity on the drift capacities of URM walls. IntroductionAlthough unreinforced masonry (URM) construction features excellent properties with regard to sustainability, durability, indoor climate and fire resistance, in most regions of moderate seismicity the total amount of structural masonry in new residential buildings has decreased over the last three decades (Magenes 2006). One reason for this decrease relates to the conservatism of force-based methods which often lead to the situation that URM buildings do not satisfy the seismic

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“…The mechanism of the damage process of cohesive elements is important especially for mixed mode loading [41]. Recently, an increasing interest has been devoted to combining cohesive damage with frictional contact [41][42][43][44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional computational framework for impact fracture analysis of automotive laminated glass

Chen

Miao

2015

Computer Methods in Applied Mechanics and Engineering

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A cohesive element model for mixed mode loading with frictional contact capability

Cited by 80 publications

References 37 publications

A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials

A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials

Towards Displacement-Based Seismic Design of Modern Unreinforced Masonry Structures

A three-dimensional computational framework for impact fracture analysis of automotive laminated glass

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