Modeling the inelastic deformation and fracture of polymer composites – Part I: Plasticity model

Vogler, Matthias; Rolfes, Raimund; Camanho, P.P.

doi:10.1016/j.mechmat.2012.12.002

Cited by 147 publications

(111 citation statements)

References 15 publications

Supporting

Mentioning

111

Contrasting

Order By: Relevance

“…Flow potential: Because the viscoplastic behavior of the polymers is complex in general, a nonassociated flow rule is often assumed (Melro et al, 2013;Abu Al-Rub et al, 2015;Vogler et al, 2013).…”

Section: Viscoplastic Partmentioning

confidence: 99%

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Nguyễn

Lani

Pardoen

et al. 2016

International Journal of Solids and Structures

View full text Add to dashboard Cite

A large strain hyperelastic phenomenological constitutive model is proposed to model the highly nonlinear, rate-dependent mechanical behavior of amorphous glassy polymers under isothermal conditions. A corotational formulation is used through the total Lagrange formalism. At small strains, the viscoelastic behavior is captured using the generalized Maxwell model. At large strains beyond a viscoelastic limit characterized by a pressure-sensitive yield function, which is extended from the Drucker-Prager one, a viscoplastic region follows. The viscoplastic flow is governed by a non-associated Perzyna-type flow rule incorporating this pressure-sensitive yield function and a quadratic flow potential in order to capture the volumetric deformation during the plastic process. The stress reduction phenomena arising from the post-peak plateau and during the failure stage are considered in the context of a continuum damage mechanics approach.The post-peak softening is modeled by an internal scalar, so-called softening variable, whose evolution is governed by a saturation law. When the softening variable is saturated, the rehardening stage is naturally obtained since the isotropic and kinematic hardening phenomena are still developing. Beyond the onset of failure characterized by a pressure-sensitive failure criterion, the damage process leading to the total failure is controlled by a second internal scalar, so-called failure variable. The final failure occurs when the failure variable reaches its critical value. To avoid the loss of solution uniqueness when dealing with the continuum damage mechanics formalism, a non-local implicit gradient formulation is used for both the softening and failure variables, leading to a multi-mechanism non-local damage continuum. The pressure sensitivity considered in both the yield and failure conditions allows for the distinction under compression and tension loading conditions. It is shown through experimental comparisons that the proposed constitutive model has the ability to capture the complex behavior of amorphous glassy polymers, including their failure.

show abstract

Section: Viscoplastic Partmentioning

confidence: 99%

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Nguyễn

Lani

Pardoen

et al. 2016

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…Several literature reports show the convergence problems of this model in different studies about fracture mechanisms; since the structural problems studies [7,[14][15], and the studies about thin surface coating [17]. Other advantages of this model have been its use in failures of composites studies [4,9] and the absence of the knowledge about the critical stress intensity factor (K IC ) or toughness fracture (G IC ) of the material to test it, i.e., only there is the need to know the breaking point. Last advantage is relevant because fracture mechanics experimental tests are more expensive and more complex if they are compared with tensile tests, especially when the focus is the study of laminated composites [20].…”

Section: Resultsmentioning

confidence: 99%

“…If it is correctly applied, the fracture mechanics inhibits the flaws from the negligence during the project and of that due to the implementation of new projects with the utilization, or not, of new materials, which produce an unexpected and unwanted result in their behavior [1]. In these recent decades, new methods approach the problem of these structural failures through the numerical models with macroscopic organization of the structure [2][3][4][5]. More recently, discrete models of finite elements have been used along with the concepts of fracture mechanics, continuum mechanics and finite fracture mechanics by the evaluation of the structure damage [3,[6][7][8].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study of Finite Fracture Growth in an Epoxy Resin

Christofóro¹,

Silveira²,

Dias³

et al. 2016

ijme

View full text Add to dashboard Cite

In the last decades, the study of fracture mechanics has been increase as tool capable to analyze the mechanical strength for structures without the occurrence of failure. The presence of small cracks can reduce the structural strength of the component enabling, in some cases, the collapse of the structure under a lower stress than the structural ultimate strength. Currently, the use of numerical methodologies, as finite element method (FEM), that address the problem of fracture in structural components to representing the macroscopic regime of the structure has been also used becoming increasing. The goal of the article, through the analysis of fracture and grounds of FEM, determine the fracture growth for a polymeric material (epoxy resin). Through ASTM E399 were established experimental procedures for obtaining fracture toughness (G C ), the mechanical fracture bending SE (B) testing was choose, for its simplicity of design and manufacture. Three different numerical models were used to analyze the behavior the material and the fracture process. The results obtained from the numerical simulation were close to the literature results, confirming the effectiveness of the numerical tool used in predicting fracture phenomena in the material and its evolution associated with the loads application.

show abstract

“…Vogler [28] and Camanho [29] presented a fully three-dimensional transversely isotropic elastic-plastic constitutive model for composite materials to represent the plasticity-based non-linearities under multiaxial loading conditions. Vyas et al [30] presented a plasticity-based approach to model the nonlinear mechanical response of polymer-matrix fibre-reinforced composites with unidirectional plies under quasi-static loading.…”

Section: New Non-linear Shear Behaviourmentioning

confidence: 99%

Modelling the crush behaviour of thermoplastic composites

Tan

Falzon

2016

Composites Science and Technology

View full text Add to dashboard Cite

Thermoplastic composites are likely to emerge as the preferred solution for meeting the high-volume production demands of passenger road vehicles. Substantial effort is currently being directed towards the development of new modelling techniques to reduce the extent of costly and time consuming physical testing. Developing a high-fidelity numerical model to predict the crush behaviour of composite laminates is dependent on the accurate measurement of material properties as well as a thorough understanding of damage mechanisms associated with crush events. This paper details the manufacture, testing and modelling of self-supporting corrugated-shaped thermoplastic composite specimens for crashworthiness assessment. These specimens demonstrated a 57.3% higher specific energy absorption compared to identical specimen made from thermoset composites. The corresponding damage mechanisms were investigated in-situ using digital microscopy and post analysed using Scanning Electron Microscopy (SEM). Splaying and fragmentation modes were the 2 primary failure modes involving fibre breakage, matrix cracking and delamination. A mesoscale composite damage model, with new non-linear shear constitutive laws, which combines a range of novel techniques to accurately capture the material response under crushing, is presented. The force-displacement curves, damage parameter maps and dissipated energy, obtained from the numerical analysis, are shown to be in a good qualitative and quantitative agreement with experimental results. The proposed approach could significantly reduce the extent of physical testing required in the development of crashworthy structures.

show abstract

Modeling the inelastic deformation and fracture of polymer composites – Part I: Plasticity model

Cited by 147 publications

References 15 publications

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Numerical Study of Finite Fracture Growth in an Epoxy Resin

Modelling the crush behaviour of thermoplastic composites

Contact Info

Product

Resources

About