Coupled damage and plasticity models derived from energy and dissipation potentials

Einav, Itai; Houlsby, G. T.; Nguyen, Giang D.

doi:10.1016/j.ijsolstr.2006.07.019

Cited by 105 publications

(59 citation statements)

References 35 publications

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“…Therefore the yield criterion is given by: ) which is consistent with the yield function suggested by Einav et al (2007) for a rate-independent damage model.…”

Section: Aecom Newcastle Uksupporting

confidence: 79%

Modelling tertiary creep in geomaterials using a continuum damage mechanics approach

Osman¹,

Birchall²

2014

Geomechanics From Micro to Macro

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“…Therefore the yield criterion is given by: ) which is consistent with the yield function suggested by Einav et al (2007) for a rate-independent damage model.…”

Section: Aecom Newcastle Uksupporting

confidence: 79%

Modelling tertiary creep in geomaterials using a continuum damage mechanics approach

Osman¹,

Birchall²

2014

Geomechanics From Micro to Macro

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“…The derivation of the model follows the framework of coupled dissipative processes described in [25], where only two energy functions, the Helmholtz free energy Ψ and the dissipation potential Φ , are needed to derive the constitutive relations and the evolution equations. The proposed Helmholtz free energy is:…”

Section: User Defined Cohesive Element Formulationmentioning

confidence: 99%

“…Following Einav et al [25], the dissipation potential Φ is assumed as the quadratic norm of two functions, each of which is homogeneous and of first order in terms of the associated internal variable: …”

Section: User Defined Cohesive Element Formulationmentioning

confidence: 99%

Numerical investigation of the impact behaviour of bioinspired nacre-like aluminium composite plates

Flores‐Johnson

Shen

Guiamatsia

et al. 2014

Composites Science and Technology

119

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Inspired by the hierarchical structure of nacre, an aluminium alloy (AA) 7075 based composite featuring layer waviness and cohesive interface is studied as a low weight impact resistant material. To investigate the mechanical response and the ballistic performance of this laminated structure, a numerical study of the proposed nacre-like composite plates made of 1.1-mm thick AA 7075 tablets bonded with toughened epoxy resin was performed using Abaqus/Explicit. Target thicknesses of 5.4-mm, 7.5-mm and 9.6-mm impacted by a rigid hemi-spherical projectile were simulated. The epoxy material was modelled using a user-defined interface cohesive element with compressive strength enhancement. A significant performance improvement was recorded for the 5.4-mm nacre-like plate (compared to the same thickness bulk plate), which was explained by the hierarchical structure facilitating both localized energy absorption (by deformation of the tablet) and more globalized energy absorption (by inter-layered delamination and friction). For a given projectile, however, the performance improvement of using the proposed composite decreased with increasing laminate thickness, which was attributed to the increased likelihood of ductile failure occurring prior to perforation in thicker bulk plates. For 5.4-mm thick plates impacted at high velocity, the nacre-like plate had a better ballistic performance than that of the plates made of continuous (flat and wavy) layers, which was attributed to the larger area of plastic deformation (observed in the nacrelike plate after impact) due to the tablets arrangement.

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“…This process is inspired from the work of Einav et al (2007) for plastic strain and damage coupling constitutive models with decoupled dissipation using two ''yield surfaces''. This may be justified from the experimental observation that damage can happen without equivalent plastic strain associated to bond-slip mechanism.…”

Section: Selected Phenomena To Model Overviewmentioning

confidence: 99%

Dissipative Homogenised Reinforced Concrete (DHRC) constitutive model dedicated to reinforced concrete plates under seismic loading

Combescure

Dumontet

Voldoire

2015

International Journal of Solids and Structures

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. Reinforced Concrete, is expressed within the usual thin plate kinematics framework. It is built by a periodic homogenisation approach using the averaging method and it couples concrete damage and periodic debonding between steel rebar and surrounding concrete. The generality of the proposed method leads to a generic closed-form for the Helmholtz strain energy density function and the two dissipation pseudo-potentials that can be adapted to any material with an internal structure similar to the RC structural element one. A restricted number of geometric and material characteristics are needed from which the whole set of model parameters are identified through an automatic numeric procedure performed on a Representative Volume Elements (RVEs) of the RC plate. Finally, comparisons of finite element simulations with experimental results concerning the seismic behaviour of reinforced concrete wall made structures are proposed and discussed.

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Coupled damage and plasticity models derived from energy and dissipation potentials

Cited by 105 publications

References 35 publications

Modelling tertiary creep in geomaterials using a continuum damage mechanics approach

Modelling tertiary creep in geomaterials using a continuum damage mechanics approach

Numerical investigation of the impact behaviour of bioinspired nacre-like aluminium composite plates

Dissipative Homogenised Reinforced Concrete (DHRC) constitutive model dedicated to reinforced concrete plates under seismic loading

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