Anisotropic elastic-plastic deformation of paper: In-plane model

Li, Yujun; Stapleton, Scott E.; Reese, Stefanie; Simon, Jaan‐Willem

doi:10.1016/j.ijsolstr.2016.08.024

Cited by 39 publications

(21 citation statements)

References 28 publications

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“…Due to its ability to reproduce the characteristic biaxial behavior of fcc polycrystalline structures, a multi-surface-based anisotropic yield criterion is used to model the homogenized macroscopic yielding of the RVE. The particular yield function is briefly introduced here, for a detailed discussion see Ref 36. Other applications are given in Ref 37,38. According to Ref 36, three yield surfaces as a basis are accurate enough to model the orthotropic plastic behavior of polycrystalline aggregates in engineering applications. The criterion is based on three surfaces each only considering the J 2 -type invariants of the stress deviator.…”

Section: Macroscopic Yield Functionmentioning

confidence: 99%

A Novel Approach to Predict the Process-Induced Mechanical Behavior of Additively Manufactured Materials

Kergaßner

Koepf

Markl

et al. 2021

J. of Materi Eng and Perform

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The grain structure and texture of additively manufactured materials depend strongly on the local temperature gradients during the solidification of the material. These grain structures and textures influence the mechanical behavior, ranging from isotropy to transversal and orthotropic symmetry. In the present contribution, a cellular automaton is used to model the grain growth during selective electron beam melting. The resulting grain structures and textures serve as input for a mesoscopic mechanical model. The mechanical behavior on the mesoscale is modeled by means of gradient-enhanced crystal plasticity, applying the finite element method. Computational homogenization is applied to determine the resulting macroscopic elastic and plastic properties of the additively manufactured metals. A general orthotropic yield criterion is identified by means of the initial yield loci computed with mesoscopic simulations of representative volume elements. The numerical results are partly validated with experimental data.

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Section: Macroscopic Yield Functionmentioning

confidence: 99%

A Novel Approach to Predict the Process-Induced Mechanical Behavior of Additively Manufactured Materials

Kergaßner

Koepf

Markl

et al. 2021

J. of Materi Eng and Perform

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show abstract

“…4.1.2) and the hardening model has been extended to be anisotropic-kinematic without introducing additional parameters. Another variant of the Xia et al model has been provided in [146], where-as in the latter one-a small strain formulation has been derived including both isotropic and kinematic hardening in order to account for the anisotropic nature of hardening behavior. In addition, an alternative small-strain version of the Xia et al model has been suggested recently in [205], where focus is laid on introducing a non-associated flow rule.…”

Section: In-plane Elasto-plasticity Of Paper Sheetsmentioning

confidence: 99%

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

Simon

2020

Arch Computat Methods Eng

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Paper and paperboard are widely used in packaging products. The material behavior of paper and paperboard is very complex because different scales need to be considered in order to describe all relevant effects and phenomena. In particular, at least three scales can be distinguished: the fiber scale, network scale, and sheet scale. Since it is extremely challenging to measure the material behavior experimentally on all of these scales simultaneously, computational modeling of these materials has gained importance in recent years. This work aims at giving a systematic review of the numerical approaches and obtained results published in recent years. Focus is set on both the recent trends and achievements as well as challenges and open questions.

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“…The behavior of paper in the plastic regime is further decomposed into two different parts. The first part describes the evolution of the plastic strains in the in-plane direction based on a multi-surface yield criterion which was implemented previously by Li et al [1]. For simplicity, isotropic hardening was included to describe the strain hardening during the in-plane loading.…”

Section: Continuum Modelmentioning

confidence: 99%

Modelling the anisotropic in‐plane and out‐of‐plane elastic‐plastic response of paper

Alajami

Simon

2018

Proc Appl Math and Mech

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Laminated paperboard is one of the main materials used in packaging products. The technical processes used for manufacturing such materials lead to a sepcial fiber structure that gives the material anisotropic behavior which can be observed in experiments. Two different directions can be distinguished;the in-plane and the out-of-plane directions, which both experience an elastic-plasctic behavior, where a permanent deformation is observed after unloading in both directions. The out-of-plane behavior includes additional aspects such as the densification and internal friction effects. These effects are significant to investigate especially in the large deformations range, which can be observed during different forming processes of the paperboard. For these reasons, an in-plane and an out-of-plane models were introudced. Each model works independently from the other one. The models were formulated based on the finite strain elasto-plasticity framework, which gives the possiblity to investigate the behavior of paperboard under large deformations. As a result, the current model was able to represent the main aspects of the behavior of paperboard in both in-plane and out-of-plane directions.

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Anisotropic elastic-plastic deformation of paper: In-plane model

Cited by 39 publications

References 28 publications

A Novel Approach to Predict the Process-Induced Mechanical Behavior of Additively Manufactured Materials

A Novel Approach to Predict the Process-Induced Mechanical Behavior of Additively Manufactured Materials

A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales

Modelling the anisotropic in‐plane and out‐of‐plane elastic‐plastic response of paper

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