Event-based lattice modeling of strain-hardening cementitious composites

Kang, Jingu; Bolander, John E.

doi:10.1007/s10704-017-0214-2

Cited by 26 publications

(9 citation statements)

References 57 publications

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“…We will refer to the host elements as the matrix elements and the embedded elements as fiber elements. The internal energy, W int , Eq (12), is found by integrating the strain energy over the volumes of the two meshes, the kinetic energy, W kin , Eq (13), is an integral of momentum times velocity over the volume, and the external work, W ext , Eq (14), is the summation of the body forces on the two meshes plus any applied traction forces.…”

Section: Energy and The Embedded Element Methodsmentioning

confidence: 99%

“…Rather than using a solid element mesh, some authors used truss or spring elements to represent the stiffness of fibers embedded in continuum element mesh of a matrix material [9,10,11]. This has been a popular method for modeling rebar reinforced concrete as well [12,13,14,15]. In the last few years, embedded truss elements have also been used to model bio-material such as white matter in the brain [16,17,18].…”

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confidence: 99%

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An Energy-based Study of the Embedded Element Method for Explicit Dynamics

Martin

Kraft

Hannah

et al. 2022

Preprint

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The embedded finite element technique provides a unique approach for modeling of fiber-reinforced composites. Meshing fibers as distinct bundles represented by truss elements embedded in a matrix material mesh allows for the assignment of more specific material properties for each component rather than homogenization of all of the properties. However, the implementations of the embedded element technique available in commercial software do not replace the material of the matrix elements with the material of the embedded elements. This causes a redundancy in the volume calculation of the overlapping meshes leading to artificially increased stiffness and mass. This paper investigates the consequences in the energy calculations of an explicit dynamic model due to this redundancy. A method for the correction of the redundancy within a finite element code is suggested which removes extra energy and is shown to be effective at correcting the energy calculations for large amounts of redundant volume.

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Section: Energy and The Embedded Element Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

An Energy-based Study of the Embedded Element Method for Explicit Dynamics

Martin

Kraft

Hannah

et al. 2022

Preprint

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“…Reduction of the embedded length due to pullout of the fibres as discussed in detail in Naaman et al (1991) is not modelled here, since only small displacements with respect to the pull-out length are considered. Computationally more efficient semi-discrete ap-proaches described in Kang et al (2014); Kang and Bolander (2017) would be well suited to describe the full pull-out process, since these approaches incorporate important features of the fibre-matrix interaction without modelling individual degrees of freedom.…”

Section: Periodic Network Modellingmentioning

confidence: 99%

3D network modelling of fracture processes in fibre-reinforced geomaterials

Grassl

Antonelli

2019

International Journal of Solids and Structures

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The width of fracture process zones in geomaterials is commonly assumed to depend on the type of heterogeneity of the material. Still, very few techniques exist, which link the type of heterogeneity to the width of the fracture process zone. Here, fracture processes in geomaterials are numerically investigated with structural network approaches, whereby the heterogeneity in the form of large aggregates and low volume fibres is modelled geometrically as poly-dispersed ellipsoids and mono-dispersed line segments, respectively.The influence of aggregates, fibres and combinations of both on fracture processes in direct tensile tests of periodic cells is investigated. For all studied heterogeneities, the fracture process zone localises at the start of the softening regime into a rough fracture.For aggregates, the width of the fracture process zone is greater than for analyses without aggregates. Fibres also increase the initial width of the fracture process zone and, in addition, result in a widening of this zone due to fibre pull out.

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“…For example, polymer chains, carbon nanotubes, lattice structures in additive manufacturing, woven fabrics, synthetic braided ropes, and fiber reinforced cement composites comprise a wide variety of material types where assemblages of thin members dominate the material response. [1][2][3][4][5][6] The bulk characteristics of these materials depend on not only the dynamics of individual components but also their contact interactions.…”

Section: Introductionmentioning

confidence: 99%

Beam elements with frictional contact in the material point method

Kang

Homel

Herbold

2021

Numerical Meth Engineering

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This article presents a novel approach to modeling beam elements that accommodate large displacements/rotations in the context of the material point method (MPM). The MPM is a hybrid Lagrangian/Eulerian approach for solving solid mechanics problems involving extremely large deformations and rotations.A solid body is discretized into a set of Lagrangian material points, called particles in the MPM. The equations of motion are solved on a fixed Eulerian background grid. The beam particle developed herein consists of two end nodes, each possessing three translational and three rotational degrees of freedom (DOF) in 3D. The end nodes are tracked and define the evolving beam particle domain. As in the conventional MPM, the linear momentum is conserved on the background grid, but here we also use this grid to enforce C1 continuity between beam particles by mapping angular velocities and accelerations for the beam rotational DOF to/from the background grid. The contact interactions between the beam particles are treated using multiple velocity fields on the background grid. Spatial nodes representing the spatial extent of the beam particle are introduced, which allows for collision detection and associated frictional contact. The effectiveness of the proposed approach is demonstrated through a series of numerical examples. Beam structures subjected to large displacements and rotations are compared with analytical/numerical solutions, in which good agreement is obtained.

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Event-based lattice modeling of strain-hardening cementitious composites

Cited by 26 publications

References 57 publications

An Energy-based Study of the Embedded Element Method for Explicit Dynamics

An Energy-based Study of the Embedded Element Method for Explicit Dynamics

3D network modelling of fracture processes in fibre-reinforced geomaterials

Beam elements with frictional contact in the material point method

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