Meso-macro modelling of anisotropic metallic composites within the framework of multisurface plasticity

Bedzra, Rex; Reese, Stefanie; Simon, Jaan‐Willem

doi:10.1016/j.ijsolstr.2017.05.001

Cited by 8 publications

(10 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A thorough description of the constitutive framework of the multi-surface plasticity model has already been presented in Bedzra et al 20 In the following, only the important aspects of the constitutive model are discussed.…”

Section: Multi-surface Plasticity Modelmentioning

confidence: 99%

“…19 However, this modelling approach is seldom used for describing the yield surface of other materials. In Bedzra et al, 20 a multi-surface plasticity model is developed, based on the concept of structural tensors, for modelling the anisotropic elastoplastic response of continuous tungsten fibre-reinforced copper matrix composite. The aim of this contribution is to develop a multi-surface plasticity model for the in-plane elastoplastic response of paper and paperboard based on the aforementioned model and to compare it to the nonquadratic constitutive model proposed by Xia et al 1 The paper begins by describing the constitutive framework of the multi-surface plasticity model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A comparative study of a multi-surface and a non-quadratic plasticity model with application to the in-plane anisotropic elastoplastic modelling of paper and paperboard

Bedzra

Reese

et al. 2018

Journal of Composite Materials

Self Cite

View full text Add to dashboard Cite

In this paper, a three-dimensional anisotropic multi-surface model for the in-plane elastoplastic deformation of paper and paperboard is developed. The model is based on the concept of structural tensors. It employs three different yield functions and parameterised consistency conditions for three different loading scenarios. The evolution of the yield surface with plastic strain is described by multiple hardening variables. Furthermore, the evolution equations are integrated using the unconditionally stable backward Euler method. Also, the internal variables are updated using a particular form of the elastic predictor/plastic corrector algorithm. The constitutive model is calibrated from a set of simple uniaxial tension tests performed in various directions of the material and is validated against loading in other directions. Additionally, the predictive capability as well as the numerical performance of the constitutive model is accessed against an existing non-quadratic plasticity model. Finally, the applicability of the constitutive model is demonstrated by performing a tensile test on a paperboard with a hole.

show abstract

Section: Multi-surface Plasticity Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A comparative study of a multi-surface and a non-quadratic plasticity model with application to the in-plane anisotropic elastoplastic modelling of paper and paperboard

Bedzra

Reese

et al. 2018

Journal of Composite Materials

Self Cite

View full text Add to dashboard Cite

show abstract

“…The identified yield surface is shown in Figure 3. For details on the load combinations employed, the reader is referred to [1].…”

Section: Constitutive Model Of Unidirectional Composite (Macro Model)mentioning

confidence: 99%

“…Kuhn-Tucker conditionsλ ≥ 0, Φ ≤ 0,λΦ = 0 the strain energy function proposed in [4]. The coefficients of ψ e are related to the Young's moduli E 1 , E 2 , E 3 , the Poisson's ratios ν 23 , ν 13 , ν 12 and the shear moduli G 23 , G 13 , G 12 , see [1]. In general, the constitutive model has 27 material parameters which are E 1 , E 2 , E 3 , ν 12 , ν 13 , ν 23 , G 12 , G 13 , G 23 , σ y1 , σ y2 , σ y3 , σ y23 , σ y13 , σ y12 , Q i (i = 1, .., 6), and β i (i = 1, ..., 6).…”

Section: Constitutive Model Of Unidirectional Composite (Macro Model)mentioning

confidence: 99%

See 1 more Smart Citation

Multi‐scale modelling of fibre reinforced composites exhibiting elastoplastic deformation

Bedzra

Simon

Reese

2017

Proc Appl Math and Mech

Self Cite

View full text Add to dashboard Cite

In this paper, a scale bridging approach for modelling unidirectional tungsten fibre reinforced copper (W/Cu) composite by making use of an anisotropic elastoplastic constitutive model is described. To identify the yield surface of the composite and to further validate the constitutive model, a finite element model of a unit cell (UC) of the composite is set up.The fibre distribution in the UC is random. The length of the UC in longitudinal fibre direction as well as in transverse fibre direction is 33.98 µm. The diameter of the fibres is 7 µm, the fibre volume ratio is 50 % and the total number of fibres is 10. The UC is assumed to be part of a much larger material specimen. Therefore, periodic boundary conditions are applied through equation constraints. The tungsten fibre as well as the copper matrix material is model by making use of a standard von Mises plasticity model. For the fit of the plasticity model to experimental uniaxial stress-strain data for tungsten and copper, see [1]. Displayed in Figure 1 is the meshed geometry of the unidirectional composite.

show abstract

New perspectives on carbon reinforced concrete structures—Why new composites need new design strategies

Curbach,

Hegger,

Bielak

et al. 2024

Civil Engineering Design

Self Cite

View full text Add to dashboard Cite

In civil engineering, carbon is typically regarded as a modern material to serve as reinforcement in concrete structures. Compared to steel reinforcement, it features two substantial benefits: It is not sensitive to corrosion, and has an enormously increased tensile strength. In contrast, carbon reinforcement is sensitive to lateral pressure and lacks the property of strain hardening. As a first step of establishing carbon reinforced concrete as a new building composite material, carbon reinforcement has basically served to replace the state‐of‐the‐art steel reinforcement. This target led to pioneering findings with respect to determining the material properties of the composite and developing advanced individual components. However, barely substituting steel by carbon does not allow to fully utilise the carbon's benefits while its disadvantageous properties reveal the limits of this approach. Instead, novel design principles are required to meet the material's nature aiming at appropriately using its beneficial properties.Currently, new construction principles are being researched for high‐performance building material combinations such as textile and carbon reinforced concrete. This paper provides an overview of baselines in the preliminary stages of this research. The overview includes history, inspiration, concrete matrices, non‐metallic reinforcement, structural elements, modelling, production, tomography, and sustainability. The objective of the study is to provide a baseline for the envisaged development of principles for future construction: radically new concepts for the design, modelling, construction, manufacturing, and use of sustainable, resource‐efficient building elements made of mineral building materials with the aim of entirely benefiting from the materials’ potential.This article is protected by copyright. All rights reserved.

show abstract

Meso-macro modelling of anisotropic metallic composites within the framework of multisurface plasticity

Cited by 8 publications

References 31 publications

A comparative study of a multi-surface and a non-quadratic plasticity model with application to the in-plane anisotropic elastoplastic modelling of paper and paperboard

A comparative study of a multi-surface and a non-quadratic plasticity model with application to the in-plane anisotropic elastoplastic modelling of paper and paperboard

Multi‐scale modelling of fibre reinforced composites exhibiting elastoplastic deformation

New perspectives on carbon reinforced concrete structures—Why new composites need new design strategies

Contact Info

Product

Resources

About