A discretization method for predicting the equivalent elastic parameters of the graded lattice structure

Zhao, Cun; Li, Guoxi; Zhang, Meng; Luo, Weipeng

doi:10.1177/1687814020984375

Cited by 3 publications

(1 citation statement)

References 31 publications

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“…The authors observed a good agreement of the FEN model with the experimental data. Besides the explicit geometric models, the homogenisation approach [12,[15][16][17][18][19] served as a computationally efficient alternative to determine the equivalent effective properties of a heterogeneous lattice. In [17,19], it was coupled with the modified Hill yield criterion and showed good agreement for variable density and surface-based lattices.…”

Section: Introductionmentioning

confidence: 99%

Predictions of the Elastic–Plastic Compressive Response of Functionally Graded Polymeric Composite Lattices Manufactured by Three-Dimensional Printing

Plocher

Tagarielli

Panesar

2022

Journal of Engineering Materials and Technology

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We use 3D printing to manufacture lattices with uniform and graded relative density, made from a composite parent material comprising a nylon matrix reinforced by short carbon fibres. The elastic-plastic compressive response of these solids is measured up to their densification regime. Data from experiments on the lattices with uniform relative density is used to deduce the dependence of their elastic-plastic homogenised constitutive response on their relative density, in the range 0.2-0.8. This data is used to calibrate Finite Element (FE) simulations of the compressive response of Functionally Graded Lattices (FGLs), which are found in good agreement with the corresponding measurements, capturing the salient features of the measured stress versus strain responses. This exercise is repeated for two lattice topologies (body-centred cubic and Schwarz-P). The phenomenological constitutive models produced in this study can be used in topology optimisation to maximise the performance of 3D printed FGLs components in terms of stiffness, strength or energy absorption.

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Section: Introductionmentioning

confidence: 99%

Predictions of the Elastic–Plastic Compressive Response of Functionally Graded Polymeric Composite Lattices Manufactured by Three-Dimensional Printing

Plocher

Tagarielli

Panesar

2022

Journal of Engineering Materials and Technology

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Global buckling response of sandwich panels with additively manufactured lattice cores

Osmanoglu,

Mittelstedt

2024

Jnl of Sandwich Structures & Materials

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This paper deals with the analytical and numerical global buckling analysis of rectangular sandwich plates utilized AlSi10 Mg in both facesheets and lattice cores. In this study, six different strut-based lattice core models are designed. Additionally, the buckling resistance of lattice panels is compared with a typical honeycomb panel. Analytical studies were carried out using Kirchoff plate theory (CLPT), first-order shear deformation theory (FSDT) coded on MATLAB and finite element (FE) analyses in Abaqus. In the theoretical approaches, the Navier solution is derived for sandwich plates with simply supported boundary conditions at all edges. In the FE analyses, validated homogenized lattice structures models were used to avoid excessive numbers of elements and to save computational time. The parametric effects of side-to-thickness ratio, and different designed core cells on global buckling responses are investigated. As a result of comparing the analytical results with the FE model, a good agreement is obtained, and it is found that analytical buckling analyses FSDT can be used within certain size limits for the global buckling analysis of lattice core sandwich structures.

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Evaluation of the Equivalent Mechanical Properties of Lattice Structures Based on the Finite Element Method

et al. 2022

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Lattice structures have excellent mechanical properties and can be designed by changing the cellular structure. However, the computing scale is extremely large to directly analyze a large-size structure containing a huge number of lattice cells. Evaluating the equivalent mechanical properties instead of the complex geometry of such lattice cells is a feasible way to deal with this problem. This paper aims to propose a series of formulas, including critical structural and material parameters, to fast evaluate the equivalent mechanical properties of lattice structures. A reduced-order model based on the finite element method and beam theory was developed and verified by comparing it with the corresponding full model. This model was then applied to evaluate the equivalent mechanical properties of 25 types of lattice cells. The effects of the material Young’s modulus and Poisson’s ratio, strut diameter, cell size, and cell number on those equivalent mechanical properties were investigated and discussed, and the linear relationship with the material parameters and the non-linear relationship with the structural parameters were found. Finally, a series of analytical-fitting formulas involving the structural and material parameters were obtained, which allows us to fast predict the equivalent mechanical properties of the lattice cells.

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A discretization method for predicting the equivalent elastic parameters of the graded lattice structure

Cited by 3 publications

References 31 publications

Predictions of the Elastic–Plastic Compressive Response of Functionally Graded Polymeric Composite Lattices Manufactured by Three-Dimensional Printing

Predictions of the Elastic–Plastic Compressive Response of Functionally Graded Polymeric Composite Lattices Manufactured by Three-Dimensional Printing

Global buckling response of sandwich panels with additively manufactured lattice cores

Evaluation of the Equivalent Mechanical Properties of Lattice Structures Based on the Finite Element Method

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