A coupled plasticity-damage cohesive-frictional interface for low-cycle fatigue analysis

Parrinello, Francesco; Benedetti, Ivano

doi:10.1016/j.ijmecsci.2022.107298

Cited by 10 publications

(5 citation statements)

References 76 publications

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“…First, including a suitable representation of intergranular damage evolution [87,88,27,29,89], the framework could be extended for the investigation of thermo-mechanic micro-cracking in brittle and quasi-brittle materials, both in a steady-state and transient setting [90,91]. In this respect, it might be observed that the dependence of the material coefficients on the temperature, i.e.…”

Section: Discussion and Further Developmentsmentioning

confidence: 99%

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

Benedetti

2023

Computer Methods in Applied Mechanics and Engineering

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Section: Discussion and Further Developmentsmentioning

confidence: 99%

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

Benedetti

2023

Computer Methods in Applied Mechanics and Engineering

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“…From a more physical point of view, the model could be extended considering other damage mechanisms such as inter-laminar delamination or impact induced damage. Delamination could be modelled by using layer-wise displacement approximations along the thickness, hybrid variational statements [52], and cohesive inter-laminar traction-separation laws [53,54]. These tools would provide a direct representation of the displacement jumps between contiguous layers and their relation with the inter-laminar damage up to complete decohesion.…”

Section: Discussionmentioning

confidence: 99%

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

Campagna

Milazzo

Benedetti

et al. 2022

Mechanics of Advanced Materials and Structures

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A Ritz formulation for non-linear analysis of damage initiation and evolution in variable angle tow composite plates under progressive loading is presented. The model is built on a few key items. It assumes first order shear deformation theory kinematics and non-liner strains in the von Kármán sense.The constitutive relationships are formulated in the framework of continuum damage mechanics at the ply level, so that each laminate layer can experience in-plane damage initiation and evolution, then reflected in material softening and loss of local stiffness. A Ritz polynomial expansion of the primary variables and the minimization of the total potential energy provide the discrete solution equations, which are then solved with an incremental-iterative approach for capturing damage evolution. A few tests have been successfully performed to validate the approach. Eventually, some original results about variable angle tow plates under progressive in-plane compression loads highlight the effect of damage on the post-buckling response.

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“…The extrinsic interface is modelled in the present article by the rigid‐damage CZM proposed by the Author in References 42,55,56 in the rigorous thermodynamic framework of damage mechanics. The CZM is hereafter developed in a complementary form starting from the following Gibbs free energy function, defined for a unit of interface surface,

G\left(\boldsymbol{s},\omega \right)=\frac{1}{2}\frac{\omega }{1-\omega }{\boldsymbol{s}}^T{\mathbf{A}}^{el}\boldsymbol{s},

where

0\le \omega \le 1

is the scalar damage variable.…”

Section: Hee With Embedded Extrinsic Interfacementioning

confidence: 99%

Hybrid equilibrium formulation with adaptive element side orientation for cohesive crack prediction

Parrinello

2024

Numerical Meth Engineering

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The present article proposes an hybrid equilibrium element (HEE) formulation for the prediction of cohesive fracture formation and propagation with the crack modelled by extrinsic interface embedded at element sides. The hybrid equilibrium element formulation can model high order (quadratic, cubic and quartic) stress fields which strongly satisfy homogeneous equilibrium equations, inter‐element and boundary equilibrium equations. The HEE can implicitly model both the initially rigid behaviour of an extrinsic interface and its debonding condition with separation displacement and softening. The extrinsic interface is embedded at the element sides and its behaviour is governed by means of the same degrees of freedom of HEE (generalized stresses), without any additional degree of freedom. The proposed extrinsic cohesive model is developed in the thermodynamic framework of damage mechanics. The proposed crack propagation criterion states that crack grows when the maximum principal stress reaches the tensile strength value, in a direction orthogonal to the principal stress direction. The crack is embedded at an element side and the mesh around crack tip is adapted, by rotation of the element sides, in order to have the interface aligned to the crack growth direction. Three classic two‐dimensional problems of fracture propagation are numerically reproduced and the results compared to the experimental data or to the other numerical results.

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A coupled plasticity-damage cohesive-frictional interface for low-cycle fatigue analysis

Cited by 10 publications

References 76 publications

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

A non-linear Ritz method for progressive failure analysis of variable angle tow composite laminates

Hybrid equilibrium formulation with adaptive element side orientation for cohesive crack prediction

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